CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available" lang="zh" dir="ltr"> <head> <meta charset="UTF-8"> <title>十二进制 - 维基百科，自由的百科全书</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )zhwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"zh", "wgMonthNames":["","1月","2月","3月","4月","5月","6月","7月","8月","9月","10月","11月","12月"],"wgRequestId":"a7e05ea5-7274-4788-b431-73bb0767876e","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"十二进制","wgTitle":"十二进制","wgCurRevisionId":82112466,"wgRevisionId":82112466,"wgArticleId":1207884,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["CS1英语来源 (en)","自2019年6月引用不当的条目","拒绝当选首页新条目推荐栏目的条目","自2019年6月准确性有争议的作品","自2019年6月可能带有原创研究的条目","自2019年6月需补充来源的条目","含有多个问题的条目","自2019年6月维基百科需要风格编辑的条目","自2019年6月需要清理的內容瑣碎條目","进位制","12"],"wgPageViewLanguage":"zh","wgPageContentLanguage":"zh","wgPageContentModel":"wikitext","wgRelevantPageName": "十二进制","wgRelevantArticleId":1207884,"wgUserVariant":"zh","wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"zh","pageLanguageDir":"ltr","pageVariantFallbacks":["zh-hans","zh-hant","zh-cn","zh-tw","zh-hk","zh-sg","zh-mo","zh-my"]},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":30000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q212177","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness", "fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.gadget.large-font":"ready","ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.math.styles":"ready","ext.cite.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","jquery.makeCollapsible.styles":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","mediawiki.page.media","site","mediawiki.page.ready","jquery.makeCollapsible","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP", "ext.centralNotice.startUp","ext.gadget.edit0","ext.gadget.WikiMiniAtlas","ext.gadget.UnihanTooltips","ext.gadget.Difflink","ext.gadget.pseudonamespace-UI","ext.gadget.SpecialWikitext","ext.gadget.switcher","ext.gadget.VariantAlly","ext.gadget.AdvancedSiteNotices","ext.gadget.hideConversionTab","ext.gadget.internalLinkHelper-altcolor","ext.gadget.noteTA","ext.gadget.NavFrame","ext.gadget.collapsibleTables","ext.gadget.scrollUpButton","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=zh&modules=ext.cite.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cjquery.makeCollapsible.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=zh&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=zh&modules=ext.gadget.large-font&only=styles&skin=vector-2022"> <link rel="stylesheet" href="/w/load.php?lang=zh&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="十二进制 - 维基百科，自由的百科全书"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//zh.m.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" type="application/x-wiki" title="编辑本页" href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (zh)"> <link rel="EditURI" type="application/rsd+xml" href="//zh.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://zh.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="zh" href="https://zh.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="zh-Hans" href="https://zh.wikipedia.org/zh-hans/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="zh-Hans-CN" href="https://zh.wikipedia.org/zh-cn/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="zh-Hans-MY" href="https://zh.wikipedia.org/zh-my/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="zh-Hans-SG" href="https://zh.wikipedia.org/zh-sg/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="zh-Hant" href="https://zh.wikipedia.org/zh-hant/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="zh-Hant-HK" href="https://zh.wikipedia.org/zh-hk/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="zh-Hant-MO" href="https://zh.wikipedia.org/zh-mo/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="zh-Hant-TW" href="https://zh.wikipedia.org/zh-tw/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="alternate" hreflang="x-default" href="https://zh.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.zh"> <link rel="alternate" type="application/atom+xml" title="Wikipedia的Atom feed" href="/w/index.php?title=Special:%E6%9C%80%E8%BF%91%E6%9B%B4%E6%94%B9&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-十二进制 rootpage-十二进制 skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">跳转到内容</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="站点"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="主菜单" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">主菜单</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">主菜单</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">隐藏</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> 导航 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Wikipedia:%E9%A6%96%E9%A1%B5" title="访问首页[z]" accesskey="z"><span>首页</span></a></li><li id="n-indexpage" class="mw-list-item"><a href="/wiki/Wikipedia:%E5%88%86%E7%B1%BB%E7%B4%A2%E5%BC%95" title="以分类索引搜寻中文维基百科"><span>分类索引</span></a></li><li id="n-Featured_content" class="mw-list-item"><a href="/wiki/Portal:%E7%89%B9%E8%89%B2%E5%85%A7%E5%AE%B9" title="查看中文维基百科的特色内容"><span>特色内容</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Portal:%E6%96%B0%E8%81%9E%E5%8B%95%E6%85%8B" title="提供当前新闻事件的背景资料"><span>新闻动态</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:%E6%9C%80%E8%BF%91%E6%9B%B4%E6%94%B9" title="列出维基百科中的最近修改[r]" accesskey="r"><span>最近更改</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:%E9%9A%8F%E6%9C%BA%E9%A1%B5%E9%9D%A2" title="随机载入一个页面[x]" accesskey="x"><span>随机条目</span></a></li> </ul> </div> </div> <div id="p-help" class="vector-menu mw-portlet mw-portlet-help" > <div class="vector-menu-heading"> 帮助 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/Help:%E7%9B%AE%E5%BD%95" title="寻求帮助"><span>帮助</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:%E7%A4%BE%E7%BE%A4%E9%A6%96%E9%A1%B5" title="关于本计划、你可以做什么、应该如何做"><span>维基社群</span></a></li><li id="n-policy" class="mw-list-item"><a href="/wiki/Wikipedia:%E6%96%B9%E9%87%9D%E8%88%87%E6%8C%87%E5%BC%95" title="查看维基百科的方针和指引"><span>方针与指引</span></a></li><li id="n-villagepump" class="mw-list-item"><a href="/wiki/Wikipedia:%E4%BA%92%E5%8A%A9%E5%AE%A2%E6%A0%88" title="参与维基百科社群的讨论"><span>互助客栈</span></a></li><li id="n-Information_desk" class="mw-list-item"><a href="/wiki/Wikipedia:%E7%9F%A5%E8%AF%86%E9%97%AE%E7%AD%94" title="解答任何与维基百科无关的问题的地方"><span>知识问答</span></a></li><li id="n-conversion" class="mw-list-item"><a href="/wiki/Wikipedia:%E5%AD%97%E8%AF%8D%E8%BD%AC%E6%8D%A2" title="提出字词转换请求"><span>字词转换</span></a></li><li id="n-IRC" class="mw-list-item"><a href="/wiki/Wikipedia:IRC%E8%81%8A%E5%A4%A9%E9%A2%91%E9%81%93"><span>IRC即时聊天</span></a></li><li id="n-contact" class="mw-list-item"><a href="/wiki/Wikipedia:%E8%81%94%E7%BB%9C%E6%88%91%E4%BB%AC" title="如何联络维基百科"><span>联络我们</span></a></li><li id="n-about" class="mw-list-item"><a href="/wiki/Wikipedia:%E5%85%B3%E4%BA%8E" title="查看维基百科的简介"><span>关于维基百科</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Wikipedia:%E9%A6%96%E9%A1%B5" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="维基百科" src="/static/images/mobile/copyright/wikipedia-wordmark-zh.svg" style="width: 6.5625em; height: 1.375em;"> <img class="mw-logo-tagline" alt="自由的百科全书" src="/static/images/mobile/copyright/wikipedia-tagline-zh.svg" width="103" height="14" style="width: 6.4375em; height: 0.875em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Special:%E6%90%9C%E7%B4%A2" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="搜索维基百科[f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>搜索</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="搜索维基百科" aria-label="搜索维基百科" autocapitalize="sentences" title="搜索维基百科[f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:搜索"> </div> <button class="cdx-button cdx-search-input__end-button">搜索</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="个人工具"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="外观"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="更改页面字体大小、宽度和颜色的外观" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="外观" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">外观</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?utm_source=donate&utm_medium=sidebar&utm_campaign=spontaneous&uselang=zh-hans" class=""><span>资助维基百科</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:%E5%88%9B%E5%BB%BA%E8%B4%A6%E6%88%B7&returnto=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="我们推荐您创建账号并登录，但这不是强制性的" class=""><span>创建账号</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:%E7%94%A8%E6%88%B7%E7%99%BB%E5%BD%95&returnto=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="建议你登录，尽管并非必须。[o]" accesskey="o" class=""><span>登录</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="更多选项" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="个人工具" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">个人工具</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="用户菜单" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?utm_source=donate&utm_medium=sidebar&utm_campaign=spontaneous&uselang=zh-hans"><span>资助维基百科</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:%E5%88%9B%E5%BB%BA%E8%B4%A6%E6%88%B7&returnto=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="我们推荐您创建账号并登录，但这不是强制性的"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>创建账号</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:%E7%94%A8%E6%88%B7%E7%99%BB%E5%BD%95&returnto=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="建议你登录，尽管并非必须。[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>登录</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> 未登录编辑者的页面 <a href="/wiki/Help:%E6%96%B0%E6%89%8B%E5%85%A5%E9%97%A8" aria-label="了解有关编辑的更多信息"><span>了解详情</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%B4%A1%E7%8C%AE" title="来自此IP地址的编辑列表[y]" accesskey="y"><span>贡献</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%AE%A8%E8%AE%BA%E9%A1%B5" title="对于来自此IP地址编辑的讨论[n]" accesskey="n"><span>讨论</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="站点"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="目录" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">目录</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">隐藏</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">序言</div> </a> </li> <li id="toc-应用" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#应用"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>应用</span> </div> </a> <button aria-controls="toc-应用-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>开关应用子章节</span> </button> <ul id="toc-应用-sublist" class="vector-toc-list"> <li id="toc-历法" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#历法"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>历法</span> </div> </a> <ul id="toc-历法-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-度量衡" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#度量衡"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>度量衡</span> </div> </a> <ul id="toc-度量衡-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-语言" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#语言"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>语言</span> </div> </a> <ul id="toc-语言-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-乘法表" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#乘法表"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>乘法表</span> </div> </a> <ul id="toc-乘法表-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-与十进制的相互转换" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#与十进制的相互转换"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>与十进制的相互转换</span> </div> </a> <button aria-controls="toc-与十进制的相互转换-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>开关与十进制的相互转换子章节</span> </button> <ul id="toc-与十进制的相互转换-sublist" class="vector-toc-list"> <li id="toc-十二进制转十进制" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#十二进制转十进制"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>十二进制转十进制</span> </div> </a> <ul id="toc-十二进制转十进制-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-十进制转十二进制" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#十进制转十二进制"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>十进制转十二进制</span> </div> </a> <ul id="toc-十进制转十二进制-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-分数与无理数" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#分数与无理数"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>分数与无理数</span> </div> </a> <button aria-controls="toc-分数与无理数-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>开关分数与无理数子章节</span> </button> <ul id="toc-分数与无理数-sublist" class="vector-toc-list"> <li id="toc-分数" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#分数"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>分数</span> </div> </a> <ul id="toc-分数-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-倍數判別法" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#倍數判別法"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>倍數判別法</span> </div> </a> <ul id="toc-倍數判別法-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-十二進制中的水仙花數" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#十二進制中的水仙花數"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3</span> <span>十二進制中的水仙花數</span> </div> </a> <ul id="toc-十二進制中的水仙花數-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-循环小数" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#循环小数"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.4</span> <span>循环小数</span> </div> </a> <ul id="toc-循环小数-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-无理数" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#无理数"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.5</span> <span>无理数</span> </div> </a> <ul id="toc-无理数-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-支持" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#支持"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>支持</span> </div> </a> <ul id="toc-支持-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-参考" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#参考"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>参考</span> </div> </a> <ul id="toc-参考-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="目录" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="开关目录" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">开关目录</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">十二进制</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="前往另一种语言写成的文章。41种语言可用" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-41" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">41种语言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D8%B8%D8%A7%D9%85_%D8%B9%D8%AF_%D8%A7%D8%AB%D9%86%D8%A7_%D8%B9%D8%B4%D8%B1%D9%8A" title="نظام عد اثنا عشري – 阿拉伯语" lang="ar" hreflang="ar" data-title="نظام عد اثنا عشري" data-language-autonym="العربية" data-language-local-name="阿拉伯语" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Sistema_duodecimal" title="Sistema duodecimal – 加泰罗尼亚语" lang="ca" hreflang="ca" data-title="Sistema duodecimal" data-language-autonym="Català" data-language-local-name="加泰罗尼亚语" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Dvan%C3%A1ctkov%C3%A1_soustava" title="Dvanáctková soustava – 捷克语" lang="cs" hreflang="cs" data-title="Dvanáctková soustava" data-language-autonym="Čeština" data-language-local-name="捷克语" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Deuddegol" title="Deuddegol – 威尔士语" lang="cy" hreflang="cy" data-title="Deuddegol" data-language-autonym="Cymraeg" data-language-local-name="威尔士语" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Duodecimal" title="Duodecimal – 丹麦语" lang="da" hreflang="da" data-title="Duodecimal" data-language-autonym="Dansk" data-language-local-name="丹麦语" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Duodezimalsystem" title="Duodezimalsystem – 德语" lang="de" hreflang="de" data-title="Duodezimalsystem" data-language-autonym="Deutsch" data-language-local-name="德语" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CF%89%CE%B4%CE%B5%CE%BA%CE%B1%CE%B4%CE%B9%CE%BA%CF%8C_%CF%83%CF%8D%CF%83%CF%84%CE%B7%CE%BC%CE%B1_%CE%B1%CF%81%CE%AF%CE%B8%CE%BC%CE%B7%CF%83%CE%B7%CF%82" title="Δωδεκαδικό σύστημα αρίθμησης – 希腊语" lang="el" hreflang="el" data-title="Δωδεκαδικό σύστημα αρίθμησης" data-language-autonym="Ελληνικά" data-language-local-name="希腊语" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Duodecimal" title="Duodecimal – 英语" lang="en" hreflang="en" data-title="Duodecimal" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Dekduuma_sistemo" title="Dekduuma sistemo – 世界语" lang="eo" hreflang="eo" data-title="Dekduuma sistemo" data-language-autonym="Esperanto" data-language-local-name="世界语" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Sistema_duodecimal" title="Sistema duodecimal – 西班牙语" lang="es" hreflang="es" data-title="Sistema duodecimal" data-language-autonym="Español" data-language-local-name="西班牙语" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kaheteistk%C3%BCmnends%C3%BCsteem" title="Kaheteistkümnendsüsteem – 爱沙尼亚语" lang="et" hreflang="et" data-title="Kaheteistkümnendsüsteem" data-language-autonym="Eesti" data-language-local-name="爱沙尼亚语" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zenbaki-sistema_hamabitar" title="Zenbaki-sistema hamabitar – 巴斯克语" lang="eu" hreflang="eu" data-title="Zenbaki-sistema hamabitar" data-language-autonym="Euskara" data-language-local-name="巴斯克语" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AF%D8%B3%D8%AA%DA%AF%D8%A7%D9%87_%D8%A7%D8%B9%D8%AF%D8%A7%D8%AF_%D9%BE%D8%A7%DB%8C%D9%87_%DB%B1%DB%B2" title="دستگاه اعداد پایه ۱۲ – 波斯语" lang="fa" hreflang="fa" data-title="دستگاه اعداد پایه ۱۲" data-language-autonym="فارسی" data-language-local-name="波斯语" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Duodesimaalij%C3%A4rjestelm%C3%A4" title="Duodesimaalijärjestelmä – 芬兰语" lang="fi" hreflang="fi" data-title="Duodesimaalijärjestelmä" data-language-autonym="Suomi" data-language-local-name="芬兰语" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Syst%C3%A8me_duod%C3%A9cimal" title="Système duodécimal – 法语" lang="fr" hreflang="fr" data-title="Système duodécimal" data-language-autonym="Français" data-language-local-name="法语" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%91%D7%A1%D7%99%D7%A1_%D7%93%D7%95%D7%90%D7%95%D7%93%D7%A6%D7%99%D7%9E%D7%9C%D7%99" title="בסיס דואודצימלי – 希伯来语" lang="he" hreflang="he" data-title="בסיס דואודצימלי" data-language-autonym="עברית" data-language-local-name="希伯来语" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Tizenkettes_sz%C3%A1mrendszer" title="Tizenkettes számrendszer – 匈牙利语" lang="hu" hreflang="hu" data-title="Tizenkettes számrendszer" data-language-autonym="Magyar" data-language-local-name="匈牙利语" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Tylftakerfi" title="Tylftakerfi – 冰岛语" lang="is" hreflang="is" data-title="Tylftakerfi" data-language-autonym="Íslenska" data-language-local-name="冰岛语" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Sistema_numerico_duodecimale" title="Sistema numerico duodecimale – 意大利语" lang="it" hreflang="it" data-title="Sistema numerico duodecimale" data-language-autonym="Italiano" data-language-local-name="意大利语" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E9%80%B2%E6%B3%95" title="十二進法 – 日语" lang="ja" hreflang="ja" data-title="十二進法" data-language-autonym="日本語" data-language-local-name="日语" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95" title="십이진법 – 韩语" lang="ko" hreflang="ko" data-title="십이진법" data-language-autonym="한국어" data-language-local-name="韩语" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Duodecim%C4%81l%C4%81_skait%C4%AB%C5%A1anas_sist%C4%93ma" title="Duodecimālā skaitīšanas sistēma – 拉脱维亚语" lang="lv" hreflang="lv" data-title="Duodecimālā skaitīšanas sistēma" data-language-autonym="Latviešu" data-language-local-name="拉脱维亚语" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Sistema_de_numera%C3%A7on_duodecimal" title="Sistema de numeraçon duodecimal – 米兰德斯语" lang="mwl" hreflang="mwl" data-title="Sistema de numeraçon duodecimal" data-language-autonym="Mirandés" data-language-local-name="米兰德斯语" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Twaalftallig_stelsel" title="Twaalftallig stelsel – 荷兰语" lang="nl" hreflang="nl" data-title="Twaalftallig stelsel" data-language-autonym="Nederlands" data-language-local-name="荷兰语" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Tolvtalsystemet" title="Tolvtalsystemet – 挪威尼诺斯克语" lang="nn" hreflang="nn" data-title="Tolvtalsystemet" data-language-autonym="Norsk nynorsk" data-language-local-name="挪威尼诺斯克语" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Tolvtallsystemet" title="Tolvtallsystemet – 书面挪威语" lang="nb" hreflang="nb" data-title="Tolvtallsystemet" data-language-autonym="Norsk bokmål" data-language-local-name="书面挪威语" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Dwunastkowy_system_liczbowy" title="Dwunastkowy system liczbowy – 波兰语" lang="pl" hreflang="pl" data-title="Dwunastkowy system liczbowy" data-language-autonym="Polski" data-language-local-name="波兰语" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Sistema_de_numera%C3%A7%C3%A3o_duodecimal" title="Sistema de numeração duodecimal – 葡萄牙语" lang="pt" hreflang="pt" data-title="Sistema de numeração duodecimal" data-language-autonym="Português" data-language-local-name="葡萄牙语" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Sistem_duodecimal" title="Sistem duodecimal – 罗马尼亚语" lang="ro" hreflang="ro" data-title="Sistem duodecimal" data-language-autonym="Română" data-language-local-name="罗马尼亚语" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%94%D0%B2%D0%B5%D0%BD%D0%B0%D0%B4%D1%86%D0%B0%D1%82%D0%B5%D1%80%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D1%81%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%B8%D1%8F" title="Двенадцатеричная система счисления – 俄语" lang="ru" hreflang="ru" data-title="Двенадцатеричная система счисления" data-language-autonym="Русский" data-language-local-name="俄语" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Duodecimal" title="Duodecimal – Simple English" lang="en-simple" hreflang="en-simple" data-title="Duodecimal" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Dvanajsti%C5%A1ki_%C5%A1tevilski_sistem" title="Dvanajstiški številski sistem – 斯洛文尼亚语" lang="sl" hreflang="sl" data-title="Dvanajstiški številski sistem" data-language-autonym="Slovenščina" data-language-local-name="斯洛文尼亚语" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Duodecimala_talsystemet" title="Duodecimala talsystemet – 瑞典语" lang="sv" hreflang="sv" data-title="Duodecimala talsystemet" data-language-autonym="Svenska" data-language-local-name="瑞典语" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%A5%E0%B8%82%E0%B8%90%E0%B8%B2%E0%B8%99%E0%B8%AA%E0%B8%B4%E0%B8%9A%E0%B8%AA%E0%B8%AD%E0%B8%87" title="เลขฐานสิบสอง – 泰语" lang="th" hreflang="th" data-title="เลขฐานสิบสอง" data-language-autonym="ไทย" data-language-local-name="泰语" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/On_ikili_say%C4%B1_sistemi" title="On ikili sayı sistemi – 土耳其语" lang="tr" hreflang="tr" data-title="On ikili sayı sistemi" data-language-autonym="Türkçe" data-language-local-name="土耳其语" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%94%D0%B2%D0%B0%D0%BD%D0%B0%D0%B4%D1%86%D1%8F%D1%82%D0%BA%D0%BE%D0%B2%D0%B0_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%BD%D1%8F" title="Дванадцяткова система числення – 乌克兰语" lang="uk" hreflang="uk" data-title="Дванадцяткова система числення" data-language-autonym="Українська" data-language-local-name="乌克兰语" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/O%CA%BBn_ikkilik_sanoq_sistemasi" title="Oʻn ikkilik sanoq sistemasi – 乌兹别克语" lang="uz" hreflang="uz" data-title="Oʻn ikkilik sanoq sistemasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="乌兹别克语" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%E1%BB%87_th%E1%BA%ADp_nh%E1%BB%8B_ph%C3%A2n" title="Hệ thập nhị phân – 越南语" lang="vi" hreflang="vi" data-title="Hệ thập nhị phân" data-language-autonym="Tiếng Việt" data-language-local-name="越南语" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E9%80%B2%E5%88%B6" title="十二進制 – 文言文" lang="lzh" hreflang="lzh" data-title="十二進制" data-language-autonym="文言" data-language-local-name="文言文" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Si%CC%8Dp-j%C4%AB-ch%C3%ACn-hoat" title="Si̍p-jī-chìn-hoat – 闽南语" lang="nan" hreflang="nan" data-title="Si̍p-jī-chìn-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="闽南语" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E9%80%B2%E5%88%B6" title="十二進制 – 粤语" lang="yue" hreflang="yue" data-title="十二進制" data-language-autonym="粵語" data-language-local-name="粤语" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q212177#sitelinks-wikipedia" title="编辑跨语言链接" class="wbc-editpage">编辑链接</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="命名空间"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="浏览条目正文[c]" accesskey="c"><span>条目</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" rel="discussion" title="关于此页面的讨论[t]" accesskey="t"><span>讨论</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown " > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="更改语言变体" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">不转换</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-varlang-0" class="selected ca-variants-zh mw-list-item"><a href="/zh/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" lang="zh" hreflang="zh"><span>不转换</span></a></li><li id="ca-varlang-1" class="ca-variants-zh-Hans mw-list-item"><a href="/zh-hans/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" lang="zh-Hans" hreflang="zh-Hans"><span>简体</span></a></li><li id="ca-varlang-2" class="ca-variants-zh-Hant mw-list-item"><a href="/zh-hant/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" lang="zh-Hant" hreflang="zh-Hant"><span>繁體</span></a></li><li id="ca-varlang-3" class="ca-variants-zh-Hans-CN mw-list-item"><a href="/zh-cn/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" lang="zh-Hans-CN" hreflang="zh-Hans-CN"><span>大陆简体</span></a></li><li id="ca-varlang-4" class="ca-variants-zh-Hant-HK mw-list-item"><a href="/zh-hk/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" lang="zh-Hant-HK" hreflang="zh-Hant-HK"><span>香港繁體</span></a></li><li id="ca-varlang-5" class="ca-variants-zh-Hant-MO mw-list-item"><a href="/zh-mo/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" lang="zh-Hant-MO" hreflang="zh-Hant-MO"><span>澳門繁體</span></a></li><li id="ca-varlang-6" class="ca-variants-zh-Hans-MY mw-list-item"><a href="/zh-my/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" lang="zh-Hans-MY" hreflang="zh-Hans-MY"><span>大马简体</span></a></li><li id="ca-varlang-7" class="ca-variants-zh-Hans-SG mw-list-item"><a href="/zh-sg/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" lang="zh-Hans-SG" hreflang="zh-Hans-SG"><span>新加坡简体</span></a></li><li id="ca-varlang-8" class="ca-variants-zh-Hant-TW mw-list-item"><a href="/zh-tw/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" lang="zh-Hant-TW" hreflang="zh-Hant-TW"><span>臺灣正體</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="查看"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"><span>阅读</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit" title="编辑该页面[e]" accesskey="e"><span>编辑</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=history" title="本页面的早前版本。[h]" accesskey="h"><span>查看历史</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="页面工具"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="工具" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">工具</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">工具</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">隐藏</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="更多选项" > <div class="vector-menu-heading"> 操作 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6"><span>阅读</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit" title="编辑该页面[e]" accesskey="e"><span>编辑</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=history"><span>查看历史</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> 常规 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:%E9%93%BE%E5%85%A5%E9%A1%B5%E9%9D%A2/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="列出所有与本页相链的页面[j]" accesskey="j"><span>链入页面</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:%E9%93%BE%E5%87%BA%E6%9B%B4%E6%94%B9/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" rel="nofollow" title="页面链出所有页面的更改[k]" accesskey="k"><span>相关更改</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Project:%E4%B8%8A%E4%BC%A0" title="上传图像或多媒体文件[u]" accesskey="u"><span>上传文件</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:%E7%89%B9%E6%AE%8A%E9%A1%B5%E9%9D%A2" title="全部特殊页面的列表[q]" accesskey="q"><span>特殊页面</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&oldid=82112466" title="此页面该修订版本的固定链接"><span>固定链接</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=info" title="关于此页面的更多信息"><span>页面信息</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:%E5%BC%95%E7%94%A8%E6%AD%A4%E9%A1%B5%E9%9D%A2&page=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&id=82112466&wpFormIdentifier=titleform" title="有关如何引用此页面的信息"><span>引用此页</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:URL%E7%BC%A9%E7%9F%AD%E7%A8%8B%E5%BA%8F&url=https%3A%2F%2Fzh.wikipedia.org%2Fwiki%2F%25E5%258D%2581%25E4%25BA%258C%25E8%25BF%259B%25E5%2588%25B6"><span>获取短链接</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fzh.wikipedia.org%2Fwiki%2F%25E5%258D%2581%25E4%25BA%258C%25E8%25BF%259B%25E5%2588%25B6"><span>下载二维码</span></a></li> </ul> </div> </div> <div id="p-electronpdfservice-sidebar-portlet-heading" class="vector-menu mw-portlet mw-portlet-electronpdfservice-sidebar-portlet-heading" > <div class="vector-menu-heading"> 打印/导出 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="electron-print_pdf" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=show-download-screen"><span>下载为PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="javascript:print();" rel="alternate" title="本页面的可打印版本[p]" accesskey="p"><span>打印页面</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> 在其他项目中 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Duodecimal" hreflang="en"><span>维基共享资源</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q212177" title="链接到连接的数据仓库项目[g]" accesskey="g"><span>维基数据项目</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="页面工具"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="外观"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">外观</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">隐藏</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> <div id="mw-indicator-noteTA-c4254779" class="mw-indicator"><div class="mw-parser-output"><span class="skin-invert" typeof="mw:File"><span title="本页使用了标题或全文手工转换"><img alt="本页使用了标题或全文手工转换" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Zh_conversion_icon_m.svg/35px-Zh_conversion_icon_m.svg.png" decoding="async" width="35" height="22" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Zh_conversion_icon_m.svg/53px-Zh_conversion_icon_m.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Zh_conversion_icon_m.svg/70px-Zh_conversion_icon_m.svg.png 2x" data-file-width="32" data-file-height="20" /></span></span></div></div> </div> <div id="siteSub" class="noprint">维基百科，自由的百科全书</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="zh" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r84596247">.mw-parser-output .multiple-issues-text{width:95%;margin:0.2em 0}.mw-parser-output .multiple-issues-text>.mw-collapsible-content{margin-top:0.3em}.mw-parser-output .compact-ambox .ambox{border:none;border-collapse:collapse;background-color:transparent;margin:0 0 0 1.6em!important;padding:0!important;width:auto;display:block}body.mediawiki .mw-parser-output .compact-ambox .ambox.mbox-small-left{font-size:100%;width:auto;margin:0}.mw-parser-output .compact-ambox .ambox .mbox-text{padding:0!important;margin:0!important}.mw-parser-output .compact-ambox .ambox .mbox-text-span{display:list-item;line-height:1.5em;list-style-type:disc}body.skin-minerva .mw-parser-output .multiple-issues-text>.mw-collapsible-toggle,.mw-parser-output .compact-ambox .ambox .mbox-image,.mw-parser-output .compact-ambox .ambox .mbox-imageright,.mw-parser-output .compact-ambox .ambox .mbox-empty-cell{display:none}</style><style data-mw-deduplicate="TemplateStyles:r83732972">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}html.client-js body.skin-minerva .mw-parser-output .mbox-text-span{margin-left:23px!important}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .ambox{border-left-color:#36c!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-speedy,html.skin-theme-clientpref-night .mw-parser-output .ambox-delete{border-left-color:#b32424!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-speedy{background-color:#300!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-content{border-left-color:#f28500!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-style{border-left-color:#fc3!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-move{border-left-color:#9932cc!important}html.skin-theme-clientpref-night .mw-parser-output .ambox-protection{border-left-color:#a2a9b1!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .ambox{border-left-color:#36c!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-speedy,html.skin-theme-clientpref-os .mw-parser-output .ambox-delete{border-left-color:#b32424!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-speedy{background-color:#300!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-content{border-left-color:#f28500!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-style{border-left-color:#fc3!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-move{border-left-color:#9932cc!important}html.skin-theme-clientpref-os .mw-parser-output .ambox-protection{border-left-color:#a2a9b1!important}}</style><table class="box-问题条目 plainlinks metadata ambox ambox-content ambox-multiple_issues compact-ambox" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/40px-Ambox_important.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/60px-Ambox_important.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/80px-Ambox_important.svg.png 2x" data-file-width="40" data-file-height="40" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span"><div class="multiple-issues-text mw-collapsible"><b>本條目存在以下問題</b>，請協助<b><a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit">改善本條目</a></b>或在<b><a href="/wiki/Talk:%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="Talk:十二进制">討論頁</a></b>針對議題發表看法。 <div class="mw-collapsible-content"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Citecheck plainlinks metadata ambox ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><a href="/wiki/File:Text_document_with_red_question_mark.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Text_document_with_red_question_mark.svg/50px-Text_document_with_red_question_mark.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Text_document_with_red_question_mark.svg/75px-Text_document_with_red_question_mark.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Text_document_with_red_question_mark.svg/100px-Text_document_with_red_question_mark.svg.png 2x" data-file-width="48" data-file-height="48" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>可能包含不适用或被曲解的<a href="/wiki/Wikipedia:%E5%88%97%E6%98%8E%E6%9D%A5%E6%BA%90" title="Wikipedia:列明来源">引用资料</a>，部分内容的准确性无法被<a href="/wiki/Wikipedia:%E5%8F%AF%E4%BE%9B%E6%9F%A5%E8%AD%89" title="Wikipedia:可供查證">证實</a>。</b><span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2019年6月14日</span>)</i></small><span class="hide-when-compact"><br /><small>请协助校核其中的错误以<a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit">改善这篇条目</a>。详情请参见条目的<a href="/wiki/Talk:%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="Talk:十二进制">讨论页</a>。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Disputed plainlinks metadata ambox ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/System-search.svg/45px-System-search.svg.png" decoding="async" width="45" height="45" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/System-search.svg/68px-System-search.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/17/System-search.svg/90px-System-search.svg.png 2x" data-file-width="48" data-file-height="48" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>內容<a href="/wiki/Wikipedia:%E5%87%86%E7%A1%AE%E6%80%A7%E4%BA%89%E8%AE%AE" title="Wikipedia:准确性争议">疑欠准确</a>，有待查證。</b><span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2019年6月14日</span>)</i></small><span class="hide-when-compact"><br /><small>請在<a href="/wiki/Talk:%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="Talk:十二进制">讨论页</a>討論問題所在及加以改善，若此條目仍有爭議及<a href="/wiki/Wikipedia:%E5%87%86%E7%A1%AE%E6%80%A7%E4%BA%89%E8%AE%AE" title="Wikipedia:准确性争议">准确度</a>欠佳，會被提出<a href="/wiki/Wikipedia:%E9%A0%81%E9%9D%A2%E5%AD%98%E5%BB%A2%E8%A8%8E%E8%AB%96" title="Wikipedia:頁面存廢討論">存廢討論</a>。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Original_research plainlinks metadata ambox ambox-content ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/40px-Ambox_important.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/60px-Ambox_important.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Ambox_important.svg/80px-Ambox_important.svg.png 2x" data-file-width="40" data-file-height="40" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>可能包含<a href="/wiki/Wikipedia:%E9%9D%9E%E5%8E%9F%E5%88%9B%E7%A0%94%E7%A9%B6" title="Wikipedia:非原创研究">原创研究</a>。</b><span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2019年6月14日</span>)</i></small><span class="hide-when-compact"><br /><small>请协助補充参考资料、添加<a href="/wiki/Template:Original_research_inline" title="Template:Original research inline">相关内联标签</a>和删除原创研究内容以<a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit">改善这篇条目</a>。详细情况请参见<a href="/wiki/Talk:%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="Talk:十二进制">讨论页</a>。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Refimprove plainlinks metadata ambox ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><a href="/wiki/File:Tango-nosources.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Tango-nosources.svg/45px-Tango-nosources.svg.png" decoding="async" width="45" height="45" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Tango-nosources.svg/68px-Tango-nosources.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Tango-nosources.svg/90px-Tango-nosources.svg.png 2x" data-file-width="48" data-file-height="48" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>需要补充更多<a href="/wiki/Wikipedia:%E5%88%97%E6%98%8E%E6%9D%A5%E6%BA%90" title="Wikipedia:列明来源">来源</a></b>。<span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2019年6月14日</span>)</i></small><span class="hide-when-compact"><br /><small>请协助補充多方面<a href="/wiki/Wikipedia:%E5%8F%AF%E9%9D%A0%E6%9D%A5%E6%BA%90" title="Wikipedia:可靠来源">可靠来源</a>以<a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit">改善这篇条目</a>，<a href="/wiki/Wikipedia:%E5%8F%AF%E4%BE%9B%E6%9F%A5%E8%AF%81" class="mw-redirect" title="Wikipedia:可供查证">无法查证</a>的内容可能會因為<a href="/wiki/Template:Fact" class="mw-redirect" title="Template:Fact">异议提出</a>而被移除。<br />致使用者：请搜索一下条目的标题（来源搜索：<span class="plainlinks"><a rel="nofollow" class="external text" href="//www.google.com/search?&as_eq=wikipedia&q=%22%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6%22">"十二进制"</a> — <a rel="nofollow" class="external text" href="//www.google.com/search?q=%22%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6%22">网页</a>、<a rel="nofollow" class="external text" href="//www.google.com/search?tbm=nws&q=&as_src=-newswire+-wire+-presswire+-PR+-press+-release+-wikipedia&q=%22%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6%22">新闻</a>、<a rel="nofollow" class="external text" href="//books.google.com/books?&as_brr=0&as_pub=-icon&q=%22%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6%22">书籍</a>、<a rel="nofollow" class="external text" href="//scholar.google.com/scholar?&q=%22%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6%22">学术</a>、<a rel="nofollow" class="external text" href="//www.google.com/search?tbm=isch&safe=off&q=%22%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6%22">图像</a></span>），以检查网络上是否存在该主题的更多可靠来源（<a href="/wiki/Wikipedia:%E5%8F%AF%E9%9D%A0%E6%9D%A5%E6%BA%90" title="Wikipedia:可靠来源">判定指引</a>）。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> </div></div><span class="hide-when-compact"></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <style data-mw-deduplicate="TemplateStyles:r84265675">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:" :"}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist-pipe dd::after,.mw-parser-output .hlist-pipe li::after{content:" | ";font-weight:normal}.mw-parser-output .hlist-hyphen dd::after,.mw-parser-output .hlist-hyphen li::after{content:" - ";font-weight:normal}.mw-parser-output .hlist-comma dd::after,.mw-parser-output .hlist-comma li::after{content:"、";font-weight:normal}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:"（"counter(listitem)"\a0 "}.mw-parser-output ul.cslist,.mw-parser-output ul.sslist{margin:0;padding:0;display:inline-block;list-style:none}.mw-parser-output .cslist li,.mw-parser-output .sslist li{margin:0;display:inline-block}.mw-parser-output .cslist li::after{content:"，"}.mw-parser-output .sslist li::after{content:"；"}.mw-parser-output .cslist li:last-child::after,.mw-parser-output .sslist li:last-child::after{content:none}</style><style data-mw-deduplicate="TemplateStyles:r84913072">.mw-parser-output .sidebar{width:22em;float:right;clear:right;margin:0.5em 0 1em 1em;background:var(--background-color-neutral-subtle,#f8f9fa);border:1px solid var(--border-color-base,#a2a9b1);padding:0.2em;text-align:center;line-height:1.4em;font-size:88%;border-collapse:collapse;display:table}body.skin-minerva .mw-parser-output .sidebar{display:table!important;float:right!important;margin:0.5em 0 1em 1em!important}.mw-parser-output .sidebar-subgroup{width:100%;margin:0;border-spacing:0}.mw-parser-output .sidebar-left{float:left;clear:left;margin:0.5em 1em 1em 0}.mw-parser-output .sidebar-none{float:none;clear:both;margin:0.5em 1em 1em 0}.mw-parser-output .sidebar-outer-title{padding:0 0.4em 0.2em;font-size:125%;line-height:1.2em;font-weight:bold}.mw-parser-output .sidebar-top-image{padding:0.4em}.mw-parser-output .sidebar-top-caption,.mw-parser-output .sidebar-pretitle-with-top-image,.mw-parser-output .sidebar-caption{padding:0.2em 0.4em 0;line-height:1.2em}.mw-parser-output .sidebar-pretitle{padding:0.4em 0.4em 0;line-height:1.2em}.mw-parser-output .sidebar-title,.mw-parser-output .sidebar-title-with-pretitle{padding:0.2em 0.8em;font-size:145%;line-height:1.2em}.mw-parser-output .sidebar-title-with-pretitle{padding:0.1em 0.4em}.mw-parser-output .sidebar-image{padding:0.2em 0.4em 0.4em}.mw-parser-output .sidebar-heading{padding:0.1em 0.4em}.mw-parser-output .sidebar-content{padding:0 0.5em 0.4em}.mw-parser-output .sidebar-content-with-subgroup{padding:0.1em 0.4em 0.2em}.mw-parser-output .sidebar-above,.mw-parser-output .sidebar-below{padding:0.3em 0.8em;font-weight:bold}.mw-parser-output .sidebar-collapse .sidebar-above,.mw-parser-output .sidebar-collapse .sidebar-below{border-top:1px solid #aaa;border-bottom:1px solid #aaa}.mw-parser-output .sidebar-navbar{text-align:right;font-size:100%;padding:0 0.4em 0.4em}.mw-parser-output .sidebar-list-title{padding:0 0.4em;text-align:left;font-weight:bold;line-height:1.6em;font-size:105%}.mw-parser-output .sidebar-list-title-c{padding:0 0.4em;text-align:center;margin:0 3.3em}@media(max-width:640px){body.mediawiki .mw-parser-output .sidebar{width:100%!important;clear:both;float:none!important;margin-left:0!important;margin-right:0!important}}body.skin--responsive .mw-parser-output .sidebar a>img{max-width:none!important}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-subgroup,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-pretitle,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-heading,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-above,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-below{background:inherit!important;color:inherit!important;border-color:#54595d!important}html.skin-theme-clientpref-night .mw-parser-output .sidebar a:not(.new):not(.mw-selflink):link{color:var(--color-progressive)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-subgroup,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-pretitle,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-heading,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-above,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-below{background:inherit!important;color:inherit!important;border-color:#54595d!important}html.skin-theme-clientpref-os .mw-parser-output .sidebar a:not(.new):not(.mw-selflink):link{color:var(--color-progressive)!important}}@media print{body.ns-0 .mw-parser-output .sidebar{display:none!important}}</style><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84265675"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84913072"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84265675"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84913072"><table class="sidebar sidebar-collapse nomobile nowraplinks hlist"><tbody><tr><td class="sidebar-pretitle"><a href="/wiki/Category:%E6%95%B8%E5%88%B6" title="Category:數制">數制</a></td></tr><tr><th class="sidebar-title-with-pretitle"><a href="/wiki/%E8%AE%B0%E6%95%B0%E7%B3%BB%E7%BB%9F" title="记数系统">记数系统</a></th></tr><tr><td class="sidebar-content-with-subgroup"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title"><div class="sidebar-list-title-c"><a href="/wiki/%E8%BF%9B%E4%BD%8D%E5%88%B6" title="进位制">进位制</a></div></div><div class="sidebar-list-content mw-collapsible-content"><table class="sidebar-subgroup"><tbody><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title"><div class="sidebar-list-title-c"><a href="/wiki/%E5%8D%B0%E5%BA%A6-%E9%98%BF%E6%8B%89%E4%BC%AF%E6%95%B0%E5%AD%97%E7%B3%BB%E7%BB%9F" title="印度-阿拉伯数字系统">印阿體系</a></div></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/%E9%98%BF%E6%8B%89%E4%BC%AF%E6%95%B0%E5%AD%97" title="阿拉伯数字">西方阿拉伯數字</a></li> <li><a href="/wiki/%E9%98%BF%E6%8B%89%E4%BC%AF%E6%96%87%E6%95%B0%E5%AD%97" title="阿拉伯文数字">阿拉伯文数字</a></li></ul> <hr /> <ul><li><a href="/wiki/%E5%AD%9F%E5%8A%A0%E6%8B%89%E6%95%B0%E5%AD%97" title="孟加拉数字">孟加拉数字</a></li> <li><a href="/wiki/%E5%8D%B0%E5%BA%A6%E6%95%B8%E5%AD%97" title="印度數字">印度數字</a></li> <li><span class="ilh-all" data-orig-title="Gujarati numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Gujarati numerals"><span class="ilh-page"><a href="/w/index.php?title=Gujarati_numerals&action=edit&redlink=1" class="new" title="Gujarati numerals（页面不存在）">Gujarati</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Gujarati_numerals" class="extiw" title="en:Gujarati numerals"><span lang="en" dir="auto">Gujarati numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E5%8F%A4%E6%9C%A8%E5%9F%BA%E6%96%87" title="古木基文">古木基文</a></li> <li><span class="ilh-all" data-orig-title="Odia numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Odia numerals"><span class="ilh-page"><a href="/w/index.php?title=Odia_numerals&action=edit&redlink=1" class="new" title="Odia numerals（页面不存在）">Odia</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Odia_numerals" class="extiw" title="en:Odia numerals"><span lang="en" dir="auto">Odia numerals</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="Sinhala numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Sinhala numerals"><span class="ilh-page"><a href="/w/index.php?title=Sinhala_numerals&action=edit&redlink=1" class="new" title="Sinhala numerals（页面不存在）">Sinhala</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Sinhala_numerals" class="extiw" title="en:Sinhala numerals"><span lang="en" dir="auto">Sinhala numerals</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="Tamil numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Tamil numerals"><span class="ilh-page"><a href="/w/index.php?title=Tamil_numerals&action=edit&redlink=1" class="new" title="Tamil numerals（页面不存在）">Tamil</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Tamil_numerals" class="extiw" title="en:Tamil numerals"><span lang="en" dir="auto">Tamil numerals</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="Malayalam numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Malayalam numerals"><span class="ilh-page"><a href="/w/index.php?title=Malayalam_numerals&action=edit&redlink=1" class="new" title="Malayalam numerals（页面不存在）">Malayalam</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Malayalam_numerals" class="extiw" title="en:Malayalam numerals"><span lang="en" dir="auto">Malayalam numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E6%B3%B0%E5%8D%A2%E5%9B%BA%E6%96%87" title="泰卢固文">泰卢固文</a></li> <li><a href="/wiki/%E5%8D%A1%E7%B4%8D%E9%81%94%E6%96%87" title="卡納達文">卡納達文</a></li> <li><span class="ilh-all" data-orig-title="Dzongkha numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Dzongkha numerals"><span class="ilh-page"><a href="/w/index.php?title=Dzongkha_numerals&action=edit&redlink=1" class="new" title="Dzongkha numerals（页面不存在）">Dzongkha</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Dzongkha_numerals" class="extiw" title="en:Dzongkha numerals"><span lang="en" dir="auto">Dzongkha numerals</span></a></span>）</span></span></li></ul> <hr /> <ul><li><span class="ilh-all" data-orig-title="Tibetan numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Tibetan numerals"><span class="ilh-page"><a href="/w/index.php?title=Tibetan_numerals&action=edit&redlink=1" class="new" title="Tibetan numerals（页面不存在）">Tibetan</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Tibetan_numerals" class="extiw" title="en:Tibetan numerals"><span lang="en" dir="auto">Tibetan numerals</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="Balinese numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Balinese numerals"><span class="ilh-page"><a href="/w/index.php?title=Balinese_numerals&action=edit&redlink=1" class="new" title="Balinese numerals（页面不存在）">Balinese</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Balinese_numerals" class="extiw" title="en:Balinese numerals"><span lang="en" dir="auto">Balinese numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E7%B7%AC%E7%94%B8%E6%95%B8%E5%AD%97" title="緬甸數字">緬甸數字</a></li> <li><span class="ilh-all" data-orig-title="Javanese numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Javanese numerals"><span class="ilh-page"><a href="/w/index.php?title=Javanese_numerals&action=edit&redlink=1" class="new" title="Javanese numerals（页面不存在）">Javanese</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Javanese_numerals" class="extiw" title="en:Javanese numerals"><span lang="en" dir="auto">Javanese numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E9%AB%98%E6%A3%89%E6%95%B8%E5%AD%97" title="高棉數字">高棉數字</a></li> <li><a href="/wiki/%E8%80%81%E6%92%BE%E6%96%87" title="老撾文">老撾文</a></li> <li><span class="ilh-all" data-orig-title="Mongolian numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Mongolian numerals"><span class="ilh-page"><a href="/w/index.php?title=Mongolian_numerals&action=edit&redlink=1" class="new" title="Mongolian numerals（页面不存在）">Mongolian</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Mongolian_numerals" class="extiw" title="en:Mongolian numerals"><span lang="en" dir="auto">Mongolian numerals</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="Sundanese numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Sundanese numerals"><span class="ilh-page"><a href="/w/index.php?title=Sundanese_numerals&action=edit&redlink=1" class="new" title="Sundanese numerals（页面不存在）">Sundanese</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Sundanese_numerals" class="extiw" title="en:Sundanese numerals"><span lang="en" dir="auto">Sundanese numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E6%B3%B0%E6%96%87%E6%95%B0%E5%AD%97" title="泰文数字">泰文数字</a></li></ul> <hr /></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title"><div class="sidebar-list-title-c">東亞體系</div></div><div class="sidebar-list-content mw-collapsible-content"> <dl><dt>當代</dt></dl> <ul><li><a href="/wiki/%E6%B1%89%E5%AD%97%E6%95%B0%E5%AD%97" title="汉字数字">中文数字</a> <ul><li><a href="/wiki/%E8%8B%8F%E5%B7%9E%E7%A0%81%E5%AD%90" title="苏州码子">苏州码子</a></li></ul></li> <li><span class="ilh-all" data-orig-title="閩南語數字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Hokkien numerals"><span class="ilh-page"><a href="/w/index.php?title=%E9%96%A9%E5%8D%97%E8%AA%9E%E6%95%B8%E5%AD%97&action=edit&redlink=1" class="new" title="閩南語數字（页面不存在）">閩南語數字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Hokkien_numerals" class="extiw" title="en:Hokkien numerals"><span lang="en" dir="auto">Hokkien numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E6%97%A5%E8%AA%9E%E6%95%B8%E5%AD%97" title="日語數字">日語數字</a></li> <li><a href="/wiki/%E9%9F%93%E8%AA%9E%E6%95%B8%E5%AD%97" title="韓語數字">韓語數字</a></li> <li><a href="/wiki/%E8%B6%8A%E5%8D%97%E8%AF%AD%E6%95%B0%E5%AD%97" title="越南语数字">越南语数字</a></li></ul> <hr /> <dl><dt>古代</dt></dl> <ul><li><a href="/wiki/%E7%AE%97%E7%AD%B9" title="算筹">算筹</a></li> <li><span class="ilh-all" data-orig-title="西夏數字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Tangut numerals"><span class="ilh-page"><a href="/w/index.php?title=%E8%A5%BF%E5%A4%8F%E6%95%B8%E5%AD%97&action=edit&redlink=1" class="new" title="西夏數字（页面不存在）">西夏數字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Tangut_numerals" class="extiw" title="en:Tangut numerals"><span lang="en" dir="auto">Tangut numerals</span></a></span>）</span></span></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title"><div class="sidebar-list-title-c">美洲體系</div></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><a href="/wiki/%E7%8E%9B%E9%9B%85%E6%95%B0%E5%AD%97" title="玛雅数字">玛雅数字</a></li> <li><span class="ilh-all" data-orig-title="穆伊斯卡數字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Muisca numerals"><span class="ilh-page"><a href="/w/index.php?title=%E7%A9%86%E4%BC%8A%E6%96%AF%E5%8D%A1%E6%95%B8%E5%AD%97&action=edit&redlink=1" class="new" title="穆伊斯卡數字（页面不存在）">穆伊斯卡數字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Muisca_numerals" class="extiw" title="en:Muisca numerals"><span lang="en" dir="auto">Muisca numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E5%A5%87%E6%99%AE" title="奇普">奇普</a></li></ul> ...</div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title"><div class="sidebar-list-title-c">其它體系</div></div><div class="sidebar-list-content mw-collapsible-content"> <ul><li><span class="ilh-all" data-orig-title="古數制史" data-lang-code="en" data-lang-name="英语" data-foreign-title="History of ancient numeral systems"><span class="ilh-page"><a href="/w/index.php?title=%E5%8F%A4%E6%95%B8%E5%88%B6%E5%8F%B2&action=edit&redlink=1" class="new" title="古數制史（页面不存在）">古數制史</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/History_of_ancient_numeral_systems" class="extiw" title="en:History of ancient numeral systems"><span lang="en" dir="auto">History of ancient numeral systems</span></a></span>）</span></span></li></ul> <hr /> <dl><dt><a href="/wiki/%E5%8F%A4%E4%BB%A3%E5%8F%B2" title="古代史">古代史</a></dt></dl> <ul><li><a href="/wiki/%E5%B7%B4%E6%AF%94%E4%BC%A6%E6%95%B0%E5%AD%97" title="巴比伦数字">巴比伦数字</a></li></ul> <hr /> <dl><dt><a href="/wiki/%E5%90%8E%E5%8F%A4%E4%BB%A3%E5%8F%B2" title="后古代史">後古典</a></dt></dl> <ul><li><span class="ilh-all" data-orig-title="西多會數字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Cistercian numerals"><span class="ilh-page"><a href="/w/index.php?title=%E8%A5%BF%E5%A4%9A%E6%9C%83%E6%95%B8%E5%AD%97&action=edit&redlink=1" class="new" title="西多會數字（页面不存在）">西多會數字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Cistercian_numerals" class="extiw" title="en:Cistercian numerals"><span lang="en" dir="auto">Cistercian numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E7%8E%9B%E9%9B%85%E6%95%B0%E5%AD%97" title="玛雅数字">玛雅数字</a></li> <li><span class="ilh-all" data-orig-title="穆伊斯卡數字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Muisca numerals"><span class="ilh-page"><a href="/w/index.php?title=%E7%A9%86%E4%BC%8A%E6%96%AF%E5%8D%A1%E6%95%B8%E5%AD%97&action=edit&redlink=1" class="new" title="穆伊斯卡數字（页面不存在）">穆伊斯卡數字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Muisca_numerals" class="extiw" title="en:Muisca numerals"><span lang="en" dir="auto">Muisca numerals</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="納維亞五元數字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Pentadic numerals"><span class="ilh-page"><a href="/w/index.php?title=%E7%B4%8D%E7%B6%AD%E4%BA%9E%E4%BA%94%E5%85%83%E6%95%B8%E5%AD%97&action=edit&redlink=1" class="new" title="納維亞五元數字（页面不存在）">納維亞五元數字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Pentadic_numerals" class="extiw" title="en:Pentadic numerals"><span lang="en" dir="auto">Pentadic numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E5%A5%87%E6%99%AE" title="奇普">奇普</a></li> <li><span class="ilh-all" data-orig-title="魯米數字符號" data-lang-code="en" data-lang-name="英语" data-foreign-title="Rumi Numeral Symbols"><span class="ilh-page"><a href="/w/index.php?title=%E9%AD%AF%E7%B1%B3%E6%95%B8%E5%AD%97%E7%AC%A6%E8%99%9F&action=edit&redlink=1" class="new" title="魯米數字符號（页面不存在）">魯米數字符號</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Rumi_Numeral_Symbols" class="extiw" title="en:Rumi Numeral Symbols"><span lang="en" dir="auto">Rumi Numeral Symbols</span></a></span>）</span></span></li></ul> <hr /> <dl><dt>當代</dt></dl> <ul><li><a href="/wiki/%E5%88%87%E7%BD%97%E5%9F%BA%E9%9F%B3%E8%8A%82%E6%96%87%E5%AD%97" title="切罗基音节文字">切罗基音节文字</a></li> <li><a href="/wiki/%E5%8D%A1%E5%85%8B%E6%89%98%E7%BB%B4%E5%85%8B%E6%95%B0%E5%AD%97" title="卡克托维克数字">卡克托维克数字</a>（Iñupiaq）</li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title"><div class="sidebar-list-title-c">各<a href="/wiki/%E5%BA%95%E6%95%B0_(%E8%BF%9B%E5%88%B6)" title="底数 (进制)">底數</a>的<a href="/wiki/%E9%80%B2%E4%BD%8D%E5%88%B6" class="mw-redirect" title="進位制">進位制</a></div></div><div class="sidebar-list-content mw-collapsible-content"> <dl><dt>一般進位</dt></dl> <ul><li><a href="/wiki/%E4%BA%8C%E8%BF%9B%E5%88%B6" title="二进制">二进制</a></li> <li><a href="/wiki/%E4%B8%89%E8%BF%9B%E5%88%B6" title="三进制">三进制</a></li> <li><a href="/wiki/%E5%9B%9B%E9%80%B2%E5%88%B6" title="四進制">四進制</a></li> <li><a href="/wiki/%E4%BA%94%E9%80%B2%E5%88%B6" title="五進制">五進制</a></li> <li><a href="/wiki/%E5%85%AD%E8%BF%9B%E5%88%B6" title="六进制">六进制</a></li> <li><a href="/wiki/%E5%85%AB%E8%BF%9B%E5%88%B6" title="八进制">八进制</a></li> <li><a href="/wiki/%E4%B9%9D%E9%80%B2%E4%BD%8D" title="九進位">九進位</a></li> <li><a href="/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6" title="十进制">十进制</a></li> <li><a href="/wiki/%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6" title="十一进制">十一進制</a></li> <li><a class="mw-selflink selflink">十二进制</a></li> <li><a href="/wiki/%E5%8D%81%E5%85%AD%E8%BF%9B%E5%88%B6" title="十六进制">十六进制</a></li> <li><a href="/wiki/%E4%BA%8C%E5%8D%81%E8%BF%9B%E5%88%B6" title="二十进制">二十进制</a></li> <li><a href="/wiki/%E4%B8%89%E5%8D%81%E5%85%AD%E8%BF%9B%E5%88%B6" title="三十六进制">三十六進制</a></li> <li><a href="/wiki/%E5%85%AD%E5%8D%81%E9%80%B2%E5%88%B6" title="六十進制">六十進制</a></li> <li><a href="/wiki/%E9%80%B2%E5%88%B6%E8%A1%A8" title="進制表">進制表</a></li></ul> <hr /> <dl><dt><a href="/wiki/%E5%B9%BF%E4%B9%89%E7%9A%84%E8%BF%9B%E5%88%B6%E7%B3%BB%E7%BB%9F" title="广义的进制系统">广义的进制系统</a></dt></dl> <ul><li><a href="/wiki/%E9%9B%99%E5%B0%84%E8%A8%98%E6%95%B8" title="雙射記數">雙射記數</a><span class="nowrap"> </span>(<a href="/wiki/%E4%B8%80%E8%BF%9B%E5%88%B6" title="一进制">一进制</a>)</li> <li><span class="ilh-all" data-orig-title="有符號記數" data-lang-code="en" data-lang-name="英语" data-foreign-title="Signed-digit representation"><span class="ilh-page"><a href="/w/index.php?title=%E6%9C%89%E7%AC%A6%E8%99%9F%E8%A8%98%E6%95%B8&action=edit&redlink=1" class="new" title="有符號記數（页面不存在）">有符號記數</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Signed-digit_representation" class="extiw" title="en:Signed-digit representation"><span lang="en" dir="auto">Signed-digit representation</span></a></span>）</span></span><span class="nowrap"> </span>(<a href="/wiki/%E5%B9%B3%E8%A1%A1%E4%B8%89%E9%80%B2%E4%BD%8D" title="平衡三進位">平衡三進位</a>)</li> <li><span class="ilh-all" data-orig-title="混合進制" data-lang-code="en" data-lang-name="英语" data-foreign-title="Mixed radix"><span class="ilh-page"><a href="/w/index.php?title=%E6%B7%B7%E5%90%88%E9%80%B2%E5%88%B6&action=edit&redlink=1" class="new" title="混合進制（页面不存在）">混合進制</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Mixed_radix" class="extiw" title="en:Mixed radix"><span lang="en" dir="auto">Mixed radix</span></a></span>）</span></span><span class="nowrap"> </span>(<a href="/wiki/%E9%98%B6%E4%B9%98%E8%BF%9B%E5%88%B6" title="阶乘进制">阶乘进制</a>)</li> <li><span class="ilh-all" data-orig-title="負進制" data-lang-code="en" data-lang-name="英语" data-foreign-title="Negative base"><span class="ilh-page"><a href="/w/index.php?title=%E8%B2%A0%E9%80%B2%E5%88%B6&action=edit&redlink=1" class="new" title="負進制（页面不存在）">負進制</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Negative_base" class="extiw" title="en:Negative base"><span lang="en" dir="auto">Negative base</span></a></span>）</span></span></li> <li><a href="/wiki/%E5%A4%8D%E5%BA%95%E6%95%B0%E8%BF%9B%E5%88%B6" title="复底数进制">复底数进制</a><span class="nowrap"> </span>(<a href="/wiki/2i%E9%80%B2%E5%88%B6" title="2i進制">2i進制</a>)</li> <li><a href="/wiki/%E9%9D%9E%E6%95%B4%E6%95%B0%E8%BF%9B%E4%BD%8D%E5%88%B6" title="非整数进位制">非整数进位制</a><span class="nowrap"> </span>(<a href="/wiki/%E9%BB%84%E9%87%91%E8%BF%9B%E5%88%B6" title="黄金进制">黄金进制</a>)</li> <li><span class="ilh-all" data-orig-title="非對稱進制" data-lang-code="en" data-lang-name="英语" data-foreign-title="Asymmetric numeral systems"><span class="ilh-page"><a href="/w/index.php?title=%E9%9D%9E%E5%B0%8D%E7%A8%B1%E9%80%B2%E5%88%B6&action=edit&redlink=1" class="new" title="非對稱進制（页面不存在）">非對稱進制</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Asymmetric_numeral_systems" class="extiw" title="en:Asymmetric numeral systems"><span lang="en" dir="auto">Asymmetric numeral systems</span></a></span>）</span></span></li></ul></div></div></td> </tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title"><div class="sidebar-list-title-c"><a href="/wiki/%E7%AC%A6%E5%80%BC%E7%9B%B8%E5%8A%A0%E8%A8%98%E6%95%B8%E6%B3%95" title="符值相加記數法">符值相加記數法</a></div></div><div class="sidebar-list-content mw-collapsible-content"> <dl><dt>非字母</dt></dl> <ul><li><a href="/wiki/%E6%84%9B%E7%90%B4%E6%95%B8%E5%AD%97" title="愛琴數字">愛琴數字</a></li> <li><a href="/wiki/%E9%98%BF%E6%8F%90%E5%8D%A1%E6%95%B8%E5%AD%97" title="阿提卡數字">阿提卡數字</a></li> <li><a href="/wiki/%E9%98%BF%E8%8C%B2%E7%89%B9%E5%85%8B%E6%96%87%E5%AD%97" title="阿茲特克文字">阿茲特克文字</a></li> <li><span class="ilh-all" data-orig-title="婆羅米數字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Brahmi numerals"><span class="ilh-page"><a href="/w/index.php?title=%E5%A9%86%E7%BE%85%E7%B1%B3%E6%95%B8%E5%AD%97&action=edit&redlink=1" class="new" title="婆羅米數字（页面不存在）">婆羅米數字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Brahmi_numerals" class="extiw" title="en:Brahmi numerals"><span lang="en" dir="auto">Brahmi numerals</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="楚瓦什數字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Chuvash numerals"><span class="ilh-page"><a href="/w/index.php?title=%E6%A5%9A%E7%93%A6%E4%BB%80%E6%95%B8%E5%AD%97&action=edit&redlink=1" class="new" title="楚瓦什數字（页面不存在）">楚瓦什數字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Chuvash_numerals" class="extiw" title="en:Chuvash numerals"><span lang="en" dir="auto">Chuvash numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E5%8F%A4%E5%9F%83%E5%8F%8A%E6%95%B0%E5%AD%97" title="古埃及数字">古埃及数字</a></li> <li><span class="ilh-all" data-orig-title="伊特拉斯坎數字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Etruscan numerals"><span class="ilh-page"><a href="/w/index.php?title=%E4%BC%8A%E7%89%B9%E6%8B%89%E6%96%AF%E5%9D%8E%E6%95%B8%E5%AD%97&action=edit&redlink=1" class="new" title="伊特拉斯坎數字（页面不存在）">伊特拉斯坎數字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Etruscan_numerals" class="extiw" title="en:Etruscan numerals"><span lang="en" dir="auto">Etruscan numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E4%BD%89%E5%8D%A2%E6%96%87" title="佉卢文">佉卢文</a></li> <li><span class="ilh-all" data-orig-title="史前計數" data-lang-code="en" data-lang-name="英语" data-foreign-title="Prehistoric counting"><span class="ilh-page"><a href="/w/index.php?title=%E5%8F%B2%E5%89%8D%E8%A8%88%E6%95%B8&action=edit&redlink=1" class="new" title="史前計數（页面不存在）">史前計數</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Prehistoric_counting" class="extiw" title="en:Prehistoric counting"><span lang="en" dir="auto">Prehistoric counting</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="原始楔形文字" data-lang-code="en" data-lang-name="英语" data-foreign-title="Proto-cuneiform"><span class="ilh-page"><a href="/w/index.php?title=%E5%8E%9F%E5%A7%8B%E6%A5%94%E5%BD%A2%E6%96%87%E5%AD%97&action=edit&redlink=1" class="new" title="原始楔形文字（页面不存在）">原始楔形文字</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Proto-cuneiform" class="extiw" title="en:Proto-cuneiform"><span lang="en" dir="auto">Proto-cuneiform</span></a></span>）</span></span></li> <li><a href="/wiki/%E7%BD%97%E9%A9%AC%E6%95%B0%E5%AD%97" title="罗马数字">罗马数字</a></li> <li><a href="/wiki/%E8%AE%A1%E6%95%B0%E7%AC%A6%E5%8F%B7" title="计数符号">计数符号</a></li></ul> <hr /> <dl><dt><span class="ilh-all" data-orig-title="字母數制" data-lang-code="en" data-lang-name="英语" data-foreign-title="Alphabetic numeral system"><span class="ilh-page"><a href="/w/index.php?title=%E5%AD%97%E6%AF%8D%E6%95%B8%E5%88%B6&action=edit&redlink=1" class="new" title="字母數制（页面不存在）">字母數制</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Alphabetic_numeral_system" class="extiw" title="en:Alphabetic numeral system"><span lang="en" dir="auto">Alphabetic numeral system</span></a></span>）</span></span></dt></dl> <ul><li><span class="ilh-all" data-orig-title="Abjad numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Abjad numerals"><span class="ilh-page"><a href="/w/index.php?title=Abjad_numerals&action=edit&redlink=1" class="new" title="Abjad numerals（页面不存在）">Abjad</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Abjad_numerals" class="extiw" title="en:Abjad numerals"><span lang="en" dir="auto">Abjad numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E4%BA%9A%E7%BE%8E%E5%B0%BC%E4%BA%9A%E6%95%B0%E5%AD%97" title="亚美尼亚数字">亚美尼亚数字</a></li> <li><span class="ilh-all" data-orig-title="Alphasyllabic numeral system" data-lang-code="en" data-lang-name="英语" data-foreign-title="Alphasyllabic numeral system"><span class="ilh-page"><a href="/w/index.php?title=Alphasyllabic_numeral_system&action=edit&redlink=1" class="new" title="Alphasyllabic numeral system（页面不存在）">Alphasyllabic</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Alphasyllabic_numeral_system" class="extiw" title="en:Alphasyllabic numeral system"><span lang="en" dir="auto">Alphasyllabic numeral system</span></a></span>）</span></span> <ul><li><span class="ilh-all" data-orig-title="Aksharapalli" data-lang-code="en" data-lang-name="英语" data-foreign-title="Aksharapalli"><span class="ilh-page"><a href="/w/index.php?title=Aksharapalli&action=edit&redlink=1" class="new" title="Aksharapalli（页面不存在）">Akṣarapallī</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Aksharapalli" class="extiw" title="en:Aksharapalli"><span lang="en" dir="auto">Aksharapalli</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="Āryabhaṭa numeration" data-lang-code="en" data-lang-name="英语" data-foreign-title="Āryabhaṭa numeration"><span class="ilh-page"><a href="/w/index.php?title=%C4%80ryabha%E1%B9%ADa_numeration&action=edit&redlink=1" class="new" title="Āryabhaṭa numeration（页面不存在）">Āryabhaṭa</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/%C4%80ryabha%E1%B9%ADa_numeration" class="extiw" title="en:Āryabhaṭa numeration"><span lang="en" dir="auto">Āryabhaṭa numeration</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="Katapayadi system" data-lang-code="en" data-lang-name="英语" data-foreign-title="Katapayadi system"><span class="ilh-page"><a href="/w/index.php?title=Katapayadi_system&action=edit&redlink=1" class="new" title="Katapayadi system（页面不存在）">Kaṭapayādi</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Katapayadi_system" class="extiw" title="en:Katapayadi system"><span lang="en" dir="auto">Katapayadi system</span></a></span>）</span></span></li></ul></li> <li><a href="/wiki/%E7%A7%91%E6%99%AE%E7%89%B9%E5%AD%97%E6%AF%8D" title="科普特字母">科普特字母</a></li> <li><a href="/wiki/%E8%A5%BF%E9%87%8C%E7%88%BE%E6%95%B8%E5%AD%97" title="西里爾數字">西里爾數字</a></li> <li><a href="/wiki/%E5%90%89%E8%8C%B2%E5%AD%97%E6%AF%8D" title="吉茲字母">吉茲字母</a></li> <li><span class="ilh-all" data-orig-title="Georgian numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Georgian numerals"><span class="ilh-page"><a href="/w/index.php?title=Georgian_numerals&action=edit&redlink=1" class="new" title="Georgian numerals（页面不存在）">Georgian</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Georgian_numerals" class="extiw" title="en:Georgian numerals"><span lang="en" dir="auto">Georgian numerals</span></a></span>）</span></span></li> <li><span class="ilh-all" data-orig-title="Glagolitic_numerals" data-lang-code="en" data-lang-name="英语" data-foreign-title="Glagolitic_numerals"><span class="ilh-page"><a href="/w/index.php?title=Glagolitic_numerals&action=edit&redlink=1" class="new" title="Glagolitic numerals（页面不存在）">Glagolitic</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Glagolitic_numerals" class="extiw" title="en:Glagolitic numerals"><span lang="en" dir="auto">Glagolitic_numerals</span></a></span>）</span></span></li> <li><a href="/wiki/%E5%B8%8C%E8%85%8A%E6%95%B0%E5%AD%97" title="希腊数字">希腊数字</a></li> <li><a href="/wiki/%E5%B8%8C%E4%BC%AF%E4%BE%86%E6%95%B8%E5%AD%97" title="希伯來數字">希伯來數字</a></li></ul></div></div></td> </tr><tr><td class="sidebar-below" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"> <span class="ilh-all" data-orig-title="數制列表" data-lang-code="en" data-lang-name="英语" data-foreign-title="List of numeral systems"><span class="ilh-page"><a href="/w/index.php?title=%E6%95%B8%E5%88%B6%E5%88%97%E8%A1%A8&action=edit&redlink=1" class="new" title="數制列表（页面不存在）">數制列表</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/List_of_numeral_systems" class="extiw" title="en:List of numeral systems"><span lang="en" dir="auto">List of numeral systems</span></a></span>）</span></span></td></tr><tr><td class="sidebar-navbar" style="line-height:1.6"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84265675"><style data-mw-deduplicate="TemplateStyles:r84244141">.mw-parser-output .navbar{display:inline;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:110%;margin:0 8em}.mw-parser-output .navbar-ct-mini{font-size:110%;margin:0 5em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:%E8%AE%B0%E6%95%B0%E7%B3%BB%E7%BB%9F" title="Template:记数系统"><abbr title="查看该模板">查</abbr></a></li><li class="nv-talk"><a href="/w/index.php?title=Template_talk:%E8%AE%B0%E6%95%B0%E7%B3%BB%E7%BB%9F&action=edit&redlink=1" class="new" title="Template talk:记数系统（页面不存在）"><abbr title="讨论该模板">论</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:%E7%BC%96%E8%BE%91%E9%A1%B5%E9%9D%A2/Template:%E8%AE%B0%E6%95%B0%E7%B3%BB%E7%BB%9F" title="Special:编辑页面/Template:记数系统"><abbr title="编辑该模板">编</abbr></a></li></ul></div></td></tr></tbody></table> <div id="noteTA-c4254779" class="noteTA"><div class="noteTA-group"><div data-noteta-group-source="module" data-noteta-group="Math"></div></div><div class="noteTA-local"><div data-noteta-code="zh-hant:質數; zh-hans:素数;"></div></div></div> <p><b>十二进制</b>，也叫作<b>打进制</b>，是<a href="/wiki/%E6%95%B0%E5%AD%A6" title="数学">数学</a>中一种以<a href="/wiki/12" title="12">12</a>为<a href="/wiki/%E5%BA%95%E6%95%B0_(%E8%BF%9B%E5%88%B6)" title="底数 (进制)">底数</a>的<a href="/wiki/%E8%AE%B0%E6%95%B0%E7%B3%BB%E7%BB%9F" title="记数系统">记数系统</a>，通常使用数字0~9以及字母A、B（或X、E）来表示。其中，A（或X）即数字<a href="/wiki/10" title="10">10</a>，B（或E）即数字<a href="/wiki/11" title="11">11</a>。美国<a href="/wiki/%E9%80%9F%E8%AE%B0" title="速记">速记</a>发明人<a href="/w/index.php?title=%E8%89%BE%E8%90%A8%E5%85%8B%C2%B7%E7%9A%AE%E7%89%B9%E6%9B%BC&action=edit&redlink=1" class="new" title="艾萨克·皮特曼（页面不存在）">艾萨克·皮特曼</a>还曾创造过一种标记法，使用翻转的2和3来表示10和11。十二进制中的10代表<a href="/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6" title="十进制">十进制</a>的12，也称为一<a href="/wiki/%E6%89%93" title="打">打</a>。同样的，十二进制的100代表十进制的144（=12<sup>2</sup>），也称为一<a href="/wiki/%E7%B1%AE_(%E5%96%AE%E4%BD%8D)" title="籮 (單位)">罗</a>；十二进制的1000代表十进制的1728（=12<sup>3</sup>），也称为一大罗；而十二进制的0.1则代表十进制的<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {1}{12}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>12</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {1}{12}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/421fdcb29205f9b03bdbda76332610e37742d54b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:2.48ex; height:3.509ex;" alt="{\displaystyle {\tfrac {1}{12}}}"></span>。 </p><p>12是最小的<a href="/wiki/%E9%81%8E%E5%89%A9%E6%95%B8" class="mw-redirect" title="過剩數">過剩數</a>也是一個<a href="/wiki/%E9%AB%98%E5%90%88%E6%88%90%E6%95%B0" title="高合成数">高合成数</a>，2、3、4、6都是它的<a href="/wiki/%E5%9B%A0%E5%AD%90" class="mw-redirect" title="因子">因子</a>。正因为如此，有些情况下十二进制比十进制更易于使用（除了1和10本身，10只有2、5是它的因子）。另外，由于它的因子2和3都是<a href="/wiki/%E7%B4%A0%E6%95%B0" class="mw-redirect" title="素数">素数</a>，所有只含有质因子2和3的整数（即3-<a href="/wiki/%E5%85%89%E6%BB%91%E6%95%B8" title="光滑數">光滑数</a>，如2、3、4、6、8、9、12、16、18……）的倒数在十二进制中都是<a href="/wiki/%E6%9C%89%E9%99%90%E5%B0%8F%E6%95%B0" title="有限小数">有限小数</a>。而五个最常用的分数（<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {1}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {1}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/edef8290613648790a8ac1a95c2fb7c3972aea2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:1.658ex; height:3.509ex;" alt="{\displaystyle {\tfrac {1}{2}}}"></span>、<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {1}{3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {1}{3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9efc37d09854a3f8fb997e7de4331876bc49c2c0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:1.658ex; height:3.676ex;" alt="{\displaystyle {\tfrac {1}{3}}}"></span>、<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {2}{3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {2}{3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/571a6ce6d697175e9e5e723b8c40eaa7efcfeaca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:1.658ex; height:3.676ex;" alt="{\displaystyle {\tfrac {2}{3}}}"></span>、<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {1}{4}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {1}{4}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4825cd2a1ca51dfc4d53042434f6d3733370a57f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:1.658ex; height:3.509ex;" alt="{\displaystyle {\tfrac {1}{4}}}"></span>和<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {3}{4}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>3</mn> <mn>4</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {3}{4}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8ec6051ef87eb0dafdaeaacd61f340052fcbf2bf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:1.658ex; height:3.509ex;" alt="{\displaystyle {\tfrac {3}{4}}}"></span>）在十二进制中也都有非常简单的表示形式（分别为0.6、0.4、0.8、0.3和0.9等只有一位小數的形式）。12是拥有这一性质的最小的底数。在表示分数方面，除了<a href="/wiki/%E5%85%AD%E5%8D%81%E9%80%B2%E5%88%B6" title="六十進制">六十进制</a>外，十二进制要比其他常用的进制（诸如十进制、<a href="/wiki/%E4%BA%8C%E8%BF%9B%E5%88%B6" title="二进制">二进制</a>、<a href="/wiki/%E4%BA%8C%E5%8D%81%E8%BF%9B%E5%88%B6" title="二十进制">二十进制</a>、<a href="/wiki/%E5%85%AB%E8%BF%9B%E5%88%B6" title="八进制">八进制</a>和<a href="/wiki/%E5%8D%81%E5%85%AD%E8%BF%9B%E5%88%B6" title="十六进制">十六进制</a>）都更为方便。 </p><p><a href="/wiki/%E6%95%B8%E7%A7%98%E8%A1%93" title="數秘術">數秘學家</a>認為12是完整的數目，這反映在一<a href="/wiki/%E5%B9%B4" title="年">年</a>有12個月、<a href="/wiki/%E5%8D%81%E4%BA%8C%E5%B0%8F%E6%99%82%E5%88%B6" title="十二小時制">十二小時制</a>、<a href="/wiki/%E5%8D%81%E4%BA%8C%E6%98%9F%E5%BA%A7" class="mw-redirect" title="十二星座">十二星座</a>、<a href="/wiki/%E8%80%B6%E7%A9%8C%E5%8D%81%E4%BA%8C%E9%96%80%E5%BE%92" class="mw-redirect" title="耶穌十二門徒">耶穌十二門徒</a>、<a href="/wiki/%E5%A5%A7%E6%9E%97%E5%8C%B9%E6%96%AF%E5%8D%81%E4%BA%8C%E4%B8%BB%E7%A5%9E" title="奧林匹斯十二主神">奧林匹斯十二主神</a>等。 </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="应用"><span id=".E5.BA.94.E7.94.A8"></span>应用</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=1" title="编辑章节：应用"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="历法"><span id=".E5.8E.86.E6.B3.95"></span>历法</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=2" title="编辑章节：历法"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Zodiac_woodcut.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/Zodiac_woodcut.png/220px-Zodiac_woodcut.png" decoding="async" width="220" height="316" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/Zodiac_woodcut.png/330px-Zodiac_woodcut.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d1/Zodiac_woodcut.png/440px-Zodiac_woodcut.png 2x" data-file-width="1300" data-file-height="1868" /></a><figcaption>16世纪木版画中的十二宫</figcaption></figure> <p>历史上，在很多古老文明中都使用十二进制来记时。这或许是由于一年中月球绕地球转十二圈，也有人认为这和人类一只手有十二<a href="/wiki/%E6%8C%87%E9%AA%A8" title="指骨">指骨</a>节點有关（不包括姆指），这样方便记数。<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>如<a href="/wiki/%E5%8F%A4%E5%9F%83%E5%8F%8A%E6%96%87%E6%98%8E" class="mw-redirect" title="古埃及文明">古埃及文明</a>就将白天夜晚分别划分为12部分，而从<a href="/wiki/%E5%B7%B4%E6%AF%94%E4%BC%A6" title="巴比伦">古巴比伦文明</a>传承到西方文化中的<a href="/wiki/%E9%BB%84%E9%81%93%E5%8D%81%E4%BA%8C%E5%AE%AB" class="mw-redirect" title="黄道十二宫">黄道十二宫</a>则是将一年分为了12个<a href="/wiki/%E6%98%9F%E5%BA%A7" title="星座">星座</a>。 </p><p>在中国文化中，十二进制在记时中也有广泛应用。中国古代设有12<a href="/wiki/%E5%9C%B0%E6%94%AF" title="地支">地支</a>，与一天的12个<a href="/wiki/%E6%97%B6%E8%BE%B0" title="时辰">时辰</a>对应。一个地支还对应两个<a href="/wiki/%E8%8A%82%E6%B0%94" title="节气">节气</a>，从而表示一年的<a href="/wiki/%E4%BA%8C%E5%8D%81%E5%9B%9B%E8%8A%82%E6%B0%94" class="mw-redirect" title="二十四节气">二十四节气</a>。同时，将地支与12种动物对应，成为<a href="/wiki/%E5%8D%81%E4%BA%8C%E7%94%9F%E8%82%96" class="mw-redirect" title="十二生肖">十二生肖</a>，来表示12年为周期的循环。 </p> <div class="mw-heading mw-heading3"><h3 id="度量衡"><span id=".E5.BA.A6.E9.87.8F.E8.A1.A1"></span>度量衡</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=3" title="编辑章节：度量衡"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>十二进制在各种度量衡中也经常会使用。如<a href="/wiki/%E8%8B%B1%E5%88%B6%E5%8D%95%E4%BD%8D" title="英制单位">英制单位</a>中一英尺等于12英寸，<a href="/wiki/%E9%87%91%E8%A1%A1%E5%88%B6" title="金衡制">金衡制</a>中一金衡磅等于12金衡盎司。 </p><p>历史上，<a href="/wiki/%E5%8F%A4%E7%BD%97%E9%A9%AC%E5%B8%9D%E5%9B%BD" class="mw-redirect" title="古罗马帝国">古罗马帝国</a>曾使用的Uncia，既是长度单位也是货币单位，其在<a href="/wiki/%E6%8B%89%E4%B8%81%E6%96%87" class="mw-redirect" title="拉丁文">拉丁文</a>中的含义是<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {1}{12}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>12</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {1}{12}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/421fdcb29205f9b03bdbda76332610e37742d54b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:2.48ex; height:3.509ex;" alt="{\displaystyle {\tfrac {1}{12}}}"></span>。而在推行十进制系统前，古代<a href="/wiki/%E8%8B%B1%E5%9B%BD" title="英国">英国</a>使用的十二进制与二十进制混合的货币系统，其中一<a href="/wiki/%E5%85%88%E4%BB%A4" title="先令">先令</a>等于12<a href="/wiki/%E4%BE%BF%E5%A3%AB" title="便士">便士</a>。 </p> <div class="mw-heading mw-heading3"><h3 id="语言"><span id=".E8.AF.AD.E8.A8.80"></span>语言</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=4" title="编辑章节：语言"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>使用十二进制的语言并不常见，其中包括<a href="/wiki/%E5%B0%BC%E6%97%A5%E5%88%A9%E4%BA%9A" class="mw-redirect" title="尼日利亚">尼日利亚</a>中部地带（Middle Belt）的一些语言如Janji、Gbiri-Niragu（Kahugu）、关达拉语（Gwandara）方言Nimbia，<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><a href="/wiki/%E5%B0%BC%E6%B3%8A%E5%B0%94" title="尼泊尔">尼泊尔</a>的车旁语（Chepang），<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>以及<a href="/wiki/%E5%8D%B0%E5%BA%A6" title="印度">印度</a><a href="/wiki/%E7%B1%B3%E5%B0%BC%E7%A7%91%E4%BC%8A%E5%B2%9B" title="米尼科伊岛">米尼科伊岛</a>的<a href="/wiki/%E8%BF%AA%E7%BB%B4%E5%B8%8C%E8%AF%AD" title="迪维希语">迪维希语</a>。在小说中，<a href="/wiki/%E6%89%98%E5%B0%94%E9%87%91" class="mw-redirect" title="托尔金">托尔金</a>的<a href="/wiki/%E7%B2%BE%E7%81%B5%E8%AF%AD" class="mw-redirect" title="精灵语">精灵语</a>用的也是十二进制。 </p><p><a href="/wiki/%E6%97%A5%E8%80%B3%E6%9B%BC%E8%AF%AD%E6%97%8F" title="日耳曼语族">日耳曼语族</a>的语言对数字11和12都有特殊的对应单词，如<a href="/wiki/%E8%8B%B1%E8%AF%AD" title="英语">英语</a>中的eleven和twelve、<a href="/wiki/%E5%BE%B7%E8%AF%AD" title="德语">德语</a>中的elf和zwölf，导致这些语言常被误解为是基于十二进制的。事实上，从<a href="/wiki/%E8%AF%AD%E6%BA%90%E5%AD%A6" title="语源学">语源学</a>上来看，两者来自<a href="/wiki/%E5%8E%9F%E5%A7%8B%E6%97%A5%E8%80%B3%E6%9B%BC%E8%AA%9E" title="原始日耳曼語">原始日耳曼语</a>中的*ainlif和*twalif，字面含义为“剩下一个”和“剩下两个”，因此这些语言都是基于十进制的。 </p> <div class="mw-heading mw-heading2"><h2 id="乘法表"><span id=".E4.B9.98.E6.B3.95.E8.A1.A8"></span>乘法表</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=5" title="编辑章节：乘法表"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>比起十進制的<a href="/wiki/%E4%B9%9D%E4%B9%9D%E4%B9%98%E6%B3%95%E8%A1%A8" class="mw-redirect" title="九九乘法表">九九乘法表</a>，十二進制的乘法表更大。 </p> <table class="wikitable"> <caption>十二进制<a href="/wiki/%E4%B9%98%E6%B3%95%E8%A1%A8" title="乘法表">乘法表</a> </caption> <tbody><tr> <th>1</th> <th>2</th> <th>3</th> <th>4</th> <th>5</th> <th>6</th> <th>7</th> <th>8</th> <th>9</th> <th>A</th> <th>B</th> <th>10 </th></tr> <tr> <th>2 </th> <td>4</td> <td>6</td> <td>8</td> <td>A</td> <td>10</td> <td>12</td> <td>14</td> <td>16</td> <td>18</td> <td>1A</td> <td>20 </td></tr> <tr> <th>3 </th> <td>6</td> <td>9</td> <td>10</td> <td>13</td> <td>16</td> <td>19</td> <td>20</td> <td>23</td> <td>26</td> <td>29</td> <td>30 </td></tr> <tr> <th>4 </th> <td>8</td> <td>10</td> <td>14</td> <td>18</td> <td>20</td> <td>24</td> <td>28</td> <td>30</td> <td>34</td> <td>38</td> <td>40 </td></tr> <tr> <th>5 </th> <td>A</td> <td>13</td> <td>18</td> <td>21</td> <td>26</td> <td>2B</td> <td>34</td> <td>39</td> <td>42</td> <td>47</td> <td>50 </td></tr> <tr> <th>6 </th> <td>10</td> <td>16</td> <td>20</td> <td>26</td> <td>30</td> <td>36</td> <td>40</td> <td>46</td> <td>50</td> <td>56</td> <td>60 </td></tr> <tr> <th>7 </th> <td>12</td> <td>19</td> <td>24</td> <td>2B</td> <td>36</td> <td>41</td> <td>48</td> <td>53</td> <td>5A</td> <td>65</td> <td>70 </td></tr> <tr> <th>8 </th> <td>14</td> <td>20</td> <td>28</td> <td>34</td> <td>40</td> <td>48</td> <td>54</td> <td>60</td> <td>68</td> <td>74</td> <td>80 </td></tr> <tr> <th>9 </th> <td>16</td> <td>23</td> <td>30</td> <td>39</td> <td>46</td> <td>53</td> <td>60</td> <td>69</td> <td>76</td> <td>83</td> <td>90 </td></tr> <tr> <th>A </th> <td>18</td> <td>26</td> <td>34</td> <td>42</td> <td>50</td> <td>5A</td> <td>68</td> <td>76</td> <td>84</td> <td>92</td> <td>A0 </td></tr> <tr> <th>B </th> <td>1A</td> <td>29</td> <td>38</td> <td>47</td> <td>56</td> <td>65</td> <td>74</td> <td>83</td> <td>92</td> <td>A1</td> <td>B0 </td></tr> <tr> <th>10 </th> <td>20</td> <td>30</td> <td>40</td> <td>50</td> <td>60</td> <td>70</td> <td>80</td> <td>90</td> <td>A0</td> <td>B0</td> <td>100 </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="与十进制的相互转换"><span id=".E4.B8.8E.E5.8D.81.E8.BF.9B.E5.88.B6.E7.9A.84.E7.9B.B8.E4.BA.92.E8.BD.AC.E6.8D.A2"></span>与十进制的相互转换</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=6" title="编辑章节：与十进制的相互转换"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>注：下标<sub>12</sub>表示该数为十二进制，无下标则表示该数为十进制。 </p> <div class="mw-heading mw-heading3"><h3 id="十二进制转十进制"><span id=".E5.8D.81.E4.BA.8C.E8.BF.9B.E5.88.B6.E8.BD.AC.E5.8D.81.E8.BF.9B.E5.88.B6"></span>十二进制转十进制</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=7" title="编辑章节：十二进制转十进制"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>十二进制到十进制的转换可按下面的例子进行： </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 123456.78_{12}=1\times 12^{5}+2\times 12^{4}+3\times 12^{3}+4\times 12^{2}+5\times 12^{1}+6\times 12^{0}+7\times 12^{-1}+8\times 12^{-2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mn>123456.78</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo>×</mo> <msup> <mn>12</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msup> <mo>+</mo> <mn>2</mn> <mo>×</mo> <msup> <mn>12</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> <mo>+</mo> <mn>3</mn> <mo>×</mo> <msup> <mn>12</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>+</mo> <mn>4</mn> <mo>×</mo> <msup> <mn>12</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>5</mn> <mo>×</mo> <msup> <mn>12</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mn>6</mn> <mo>×</mo> <msup> <mn>12</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> <mo>+</mo> <mn>7</mn> <mo>×</mo> <msup> <mn>12</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mn>8</mn> <mo>×</mo> <msup> <mn>12</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 123456.78_{12}=1\times 12^{5}+2\times 12^{4}+3\times 12^{3}+4\times 12^{2}+5\times 12^{1}+6\times 12^{0}+7\times 12^{-1}+8\times 12^{-2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/91a6476c6b161b139e0bc04e79bd509db5d627da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:96.417ex; height:3.009ex;" alt="{\displaystyle 123456.78_{12}=1\times 12^{5}+2\times 12^{4}+3\times 12^{3}+4\times 12^{2}+5\times 12^{1}+6\times 12^{0}+7\times 12^{-1}+8\times 12^{-2}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =248832+41472+5184+576+60+6+0.58{\dot {3}}+0.05{\dot {5}}=296130.63{\dot {8}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mn>248832</mn> <mo>+</mo> <mn>41472</mn> <mo>+</mo> <mn>5184</mn> <mo>+</mo> <mn>576</mn> <mo>+</mo> <mn>60</mn> <mo>+</mo> <mn>6</mn> <mo>+</mo> <mn>0.58</mn> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mn>3</mn> <mo>˙</mo> </mover> </mrow> </mrow> <mo>+</mo> <mn>0.05</mn> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mn>5</mn> <mo>˙</mo> </mover> </mrow> </mrow> <mo>=</mo> <mn>296130.63</mn> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mn>8</mn> <mo>˙</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =248832+41472+5184+576+60+6+0.58{\dot {3}}+0.05{\dot {5}}=296130.63{\dot {8}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e903e686f61cb4f35bb8ca3c2cf234622716b4c2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:71.548ex; height:2.843ex;" alt="{\displaystyle =248832+41472+5184+576+60+6+0.58{\dot {3}}+0.05{\dot {5}}=296130.63{\dot {8}}}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="十进制转十二进制"><span id=".E5.8D.81.E8.BF.9B.E5.88.B6.E8.BD.AC.E5.8D.81.E4.BA.8C.E8.BF.9B.E5.88.B6"></span>十进制转十二进制</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=8" title="编辑章节：十进制转十二进制"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>十进制到十二进制的转换可按下面的例子进行： </p> <pre>123456 ÷ 12 = 10288 ... 0 10288 ÷ 12 = 857 ... 4 857 ÷ 12 = 71 ... 5 71 ÷ 12 = 5 ... 11 (B) 5 ÷ 12 = 0 ... 5 </pre> <p>将最右排的数从下往上依次写下，即得到123456 = 5B540<sub>12</sub>。 </p> <div class="mw-heading mw-heading2"><h2 id="分数与无理数"><span id=".E5.88.86.E6.95.B0.E4.B8.8E.E6.97.A0.E7.90.86.E6.95.B0"></span>分数与无理数</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=9" title="编辑章节：分数与无理数"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="分数"><span id=".E5.88.86.E6.95.B0"></span>分数</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=10" title="编辑章节：分数"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>在十二进制中，很多<a href="/wiki/%E5%88%86%E6%95%B0" class="mw-redirect" title="分数">分数</a>能表示成<a href="/wiki/%E6%9C%89%E9%99%90%E5%B0%8F%E6%95%B8" class="mw-redirect" title="有限小數">有限小數</a>的形式： </p> <ul><li>1/2 = 0.6</li> <li>1/3 = 0.4</li> <li>1/4 = 0.3</li> <li>1/6 = 0.2</li> <li>1/8 = 0.16</li> <li>1/9 = 0.14</li> <li>1/10 = 0.1</li> <li>1/14 = 0.09</li> <li>1/16 = 0.08</li> <li>1/20 = 0.06</li> <li>1/23 = 0.054</li> <li>1/28 = 0.046</li> <li>1/30 = 0.04</li> <li>1/40 = 0.03</li> <li>1/46 = 0.028</li> <li>1/54 = 0.023</li> <li>1/60 = 0.02</li> <li>1/69 = 0.0194</li> <li>1/80 = 0.016</li> <li>1/90 = 0.014</li> <li>1/A8 = 0.0116</li> <li>1/100 = 0.01</li></ul> <p><br /> 这些分数的共同特点是他们的分母都可以写成<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2^{i}3^{j}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msup> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{i}3^{j}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f2f4f16513454e80cf1f92f279d81914a8ee1e45" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.034ex; height:2.676ex;" alt="{\displaystyle 2^{i}3^{j}}"></span>的形式，換句話說，他們的分母都是3-<a href="/wiki/%E5%85%89%E6%BB%91%E6%95%B8" title="光滑數">光滑數</a>。 </p> <div class="mw-heading mw-heading3"><h3 id="倍數判別法"><span id=".E5.80.8D.E6.95.B8.E5.88.A4.E5.88.A5.E6.B3.95"></span>倍數判別法</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=11" title="编辑章节：倍數判別法"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Overly_detailed plainlinks metadata ambox ambox-style ambox-overly_detailed" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Edit-clear.svg/40px-Edit-clear.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Edit-clear.svg/60px-Edit-clear.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Edit-clear.svg/80px-Edit-clear.svg.png 2x" data-file-width="48" data-file-height="48" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>包含過多僅特定讀者會感興趣的<a href="/wiki/Wikipedia:NOT" class="mw-redirect" title="Wikipedia:NOT">過度細節內容</a></b>。<span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2019年6月14日</span>)</i></small><span class="hide-when-compact"><br /><small>請重新<a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit">整理</a>本條目以切合主題，並移除与<a href="/wiki/Wikipedia:NOT" class="mw-redirect" title="Wikipedia:NOT">維基百科內容方針</a>相悖的過度細節內容。詳情請參見<a href="/wiki/Talk:%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="Talk:十二进制">討論頁</a>。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Trivia plainlinks metadata ambox ambox-style" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Edit-clear.svg/40px-Edit-clear.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Edit-clear.svg/60px-Edit-clear.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Edit-clear.svg/80px-Edit-clear.svg.png 2x" data-file-width="48" data-file-height="48" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>應避免有<a href="/wiki/Wikipedia:%E6%A0%BC%E5%BC%8F%E6%89%8B%E5%86%8A/%E7%91%A3%E7%A2%8E%E7%AB%A0%E7%AF%80" title="Wikipedia:格式手冊/瑣碎章節">陳列雜項、瑣碎資料</a>的部分。</b><span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2019年6月14日</span>)</i></small><span class="hide-when-compact"><br /><small>請<a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit">協助</a>將有關資料重新編排成連貫性的文章，安置於適當章節或條目內。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <p>以下為在12進制中倍數的判別方法，由於小於12且與12互質的數只有1,5,7,11，而由於任何數都是1的倍數，且5<sup>2</sup>=2x12+1,7<sup>2</sup>=4x12+1，故5與7的倍數很好判別，而由於11=12-1，因此可仿照十進制中9的倍數之判別方式，來判別十二進制中11的倍數。 </p> <table class="wikitable"> <tbody><tr> <th><a href="/wiki/%E6%95%B8%E5%AD%97" title="數字">數字</a></th> <th>其<a href="/w/index.php?title=%E5%80%8D%E6%95%B8%E5%88%A4%E5%88%A5%E6%B3%95&action=edit&redlink=1" class="new" title="倍數判別法（页面不存在）">倍數判別法</a> </th></tr> <tr> <td><a href="/wiki/1" title="1">1</a></td> <td>任何數都是1的倍數 </td></tr> <tr> <td><a href="/wiki/2" title="2">2</a></td> <td>個位數為0,2,4,6,8,A </td></tr> <tr> <td><a href="/wiki/3" title="3">3</a></td> <td>個位數為0,3,6,9 </td></tr> <tr> <td><a href="/wiki/4" title="4">4</a></td> <td>個位數為0,4,8 </td></tr> <tr> <td><a href="/wiki/5" title="5">5</a></td> <td>每兩位一區間，奇數區間之和減去偶數區間之和為5的倍數(因為5可整除101)，當少於或等於兩位時，就把個位數乘以2再與其他位數相減(因為5可整除21) </td></tr> <tr> <td><a href="/wiki/6" title="6">6</a></td> <td>個位數為0,6 </td></tr> <tr> <td><a href="/wiki/7" title="7">7</a></td> <td>每三位一區間，奇數區間之和減去偶數區間之和為7的倍數(因為7可整除1001)，當少於或等於三位時，就把個位數乘以4再與其他位數相減(因為7可整除41) </td></tr> <tr> <td><a href="/wiki/8" title="8">8</a></td> <td>末兩位為8的倍數 </td></tr> <tr> <td><a href="/wiki/9" title="9">9</a></td> <td>末兩位為9的倍數 </td></tr> <tr> <td><a href="/wiki/10" title="10">A</a></td> <td>2與5的倍數 </td></tr> <tr> <td><a href="/wiki/11" title="11">B</a></td> <td>各位數字和為B的倍數 </td></tr> <tr> <td><a href="/wiki/12" title="12">10</a></td> <td>末尾為0 </td></tr> <tr> <td><a href="/wiki/13" title="13">11</a></td> <td>奇數位數與偶數位數之差為11的倍數 </td></tr> <tr> <td><a href="/wiki/14" title="14">12</a></td> <td>2與7的倍數 </td></tr> <tr> <td><a href="/wiki/15" title="15">13</a></td> <td>3與5的倍數 </td></tr> <tr> <td><a href="/wiki/16" title="16">14</a></td> <td>末兩位為14的倍數 </td></tr> <tr> <td><a href="/wiki/17" title="17">15</a></td> <td>個位乘以7再與其他位數相減(因15可整除71)，照此反覆做下去，若最後得到的結果是15的倍數的話就是，否則就不是！ </td></tr> <tr> <td><a href="/wiki/18" title="18">16</a></td> <td>末兩位為16的倍數 </td></tr> <tr> <td><a href="/wiki/19" title="19">17</a></td> <td>每三位一區間，奇數區間之和減去偶數區間之和為17的倍數(因為17可整除1001)，當少於或等於三位時，就把個位數乘以8再與其他位數相加(因為17可整除7B) </td></tr> <tr> <td><a href="/wiki/20" title="20">18</a></td> <td>4與5的倍數 </td></tr> <tr> <td><a href="/wiki/21" title="21">19</a></td> <td>3與7的倍數 </td></tr> <tr> <td><a href="/wiki/22" title="22">1A</a></td> <td>2與B的倍數 </td></tr> <tr> <td><a href="/wiki/23" title="23">1B</a></td> <td>個位乘以2再與其他位數相加(因1B可整除1B)，照此反覆做下去，若最後得到的結果是1B的倍數的話就是，否則就不是！ </td></tr> <tr> <td><a href="/wiki/24" title="24">20</a></td> <td>個位數為0，十位數為偶數 </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="十二進制中的水仙花數"><span id=".E5.8D.81.E4.BA.8C.E9.80.B2.E5.88.B6.E4.B8.AD.E7.9A.84.E6.B0.B4.E4.BB.99.E8.8A.B1.E6.95.B8"></span>十二進制中的<a href="/wiki/%E6%B0%B4%E4%BB%99%E8%8A%B1%E6%95%B0" title="水仙花数">水仙花數</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=12" title="编辑章节：十二進制中的水仙花數"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>可以證明，十二進制中的水仙花數有87個，其中最大的水仙花數是一個51位數。（見<span class="nowrap"><span typeof="mw:File"><a href="/wiki/OEIS" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/14px-OEISicon_light.svg.png" decoding="async" width="14" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/21px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/28px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span> <a href="//oeis.org/A161949" class="extiw" title="oeis:A161949">A161949</a></span>） </p><p>25:2<sup>2</sup>+5<sup>2</sup>=25<br /> A5:A<sup>2</sup>+5<sup>2</sup>=A5<br /> 577:5<sup>3</sup>+7<sup>3</sup>+7<sup>3</sup>=577<br /> 668:6<sup>3</sup>+6<sup>3</sup>+8<sup>3</sup>=668<br /> A83:A<sup>3</sup>+8<sup>3</sup>+3<sup>3</sup>=A83<br /> </p><p>顯然，任何一位數(從1到B)都是水仙花數，另外，在十二進制中，不存在四位數的水仙花數。 </p> <div class="mw-heading mw-heading3"><h3 id="循环小数"><span id=".E5.BE.AA.E7.8E.AF.E5.B0.8F.E6.95.B0"></span>循环小数</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=13" title="编辑章节：循环小数"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83732972"><table class="box-Trivia plainlinks metadata ambox ambox-style" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Edit-clear.svg/40px-Edit-clear.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Edit-clear.svg/60px-Edit-clear.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Edit-clear.svg/80px-Edit-clear.svg.png 2x" data-file-width="48" data-file-height="48" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">此條目<b>應避免有<a href="/wiki/Wikipedia:%E6%A0%BC%E5%BC%8F%E6%89%8B%E5%86%8A/%E7%91%A3%E7%A2%8E%E7%AB%A0%E7%AF%80" title="Wikipedia:格式手冊/瑣碎章節">陳列雜項、瑣碎資料</a>的部分。</b><span class="hide-when-compact"></span> <small class="date-container"><i>(<span class="date">2019年6月14日</span>)</i></small><span class="hide-when-compact"><br /><small>請<a class="external text" href="https://zh.wikipedia.org/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit">協助</a>將有關資料重新編排成連貫性的文章，安置於適當章節或條目內。</small></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <p>通常，日常生活中遇到与3或4有关的<a href="/wiki/%E9%99%A4%E6%B3%95" title="除法">除法</a>问题比起与5有关的更多，因而如果使用十二进制来计数比起十进制遇到<a href="/wiki/%E5%BE%AA%E7%8E%AF%E5%B0%8F%E6%95%B0" title="循环小数">循环小数</a>的可能性更小。这也是有些人支持十二进制的原因，他们认为既然一年有十二个月（一天有十二時辰，半天有十二小時），使用十二进制在财务问题的计算上会方便很多。 </p><p>但在真正遇到循环小数的时候，十二进制的表示比起十进制通常又会有更长的循环项。这是因为12位于两个素数11和13之间，而10则与一个<a href="/wiki/%E5%90%88%E6%95%B0" title="合数">合数</a>9相邻。尽管如此，在更多的情况下我们都对数字进行<a href="/wiki/%E6%95%B0%E5%80%BC%E4%BF%AE%E7%BA%A6%E8%A7%84%E5%88%99" class="mw-redirect" title="数值修约规则">修约</a>，这点上的区别并不是那么明显。另外，由于12的因子分解中2出现了两次，而10只有一次，因而对于大多分母是<a href="/wiki/2%E7%9A%84%E5%B9%82" title="2的幂">2的幂</a>的分数，十二进制的表示形式更简短。如1/2<sup>2</sup> = 0.25 = 0.3<sub>12</sub>，1/2<sup>3</sup> = 0.125 = 0.16<sub>12</sub>，1/2<sup>4</sup> = 0.0625 = 0.09<sub>12</sub>，1/2<sup>5</sup> = 0.03125 = 0.046<sub>12</sub>，1/2<sup>6</sup> = 0.015625 = 0.023<sub>12</sub>，1/2<sup>7</sup> = 0.0078125 = 0.0116<sub>12</sub>，1/2<sup>8</sup> = 0.00390625 = 0.0069<sub>12</sub>，1/2<sup>9</sup> = 0.001953125 = 0.00346<sub>12</sub>，1/2<sup>10</sup> = 0.0009765625 = 0.00183<sub>12</sub>，1/2<sup>11</sup> = 0.00048828125 = 0.000A16<sub>12</sub>，1/2<sup>12</sup> = 0.000244140625 = 0.000509<sub>12</sub>等等。 </p> <table class="wikitable"> <tbody><tr> <th colspan="3" align="center"><b>十进制</b><br /><small>底数的素数因子： <style data-mw-deduplicate="TemplateStyles:r83933911">@media screen{html.skin-theme-clientpref-night .mw-parser-output div:not(.notheme)>.tmp-color,html.skin-theme-clientpref-night .mw-parser-output p>.tmp-color,html.skin-theme-clientpref-night .mw-parser-output table:not(.notheme) .tmp-color{color:inherit!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output div:not(.notheme)>.tmp-color,html.skin-theme-clientpref-os .mw-parser-output p>.tmp-color,html.skin-theme-clientpref-os .mw-parser-output table:not(.notheme) .tmp-color{color:inherit!important}}</style><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>5</b></span></small> </th> <th colspan="3" align="center"><b>十二进制</b><br /><small>底数的素数因子：<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span></small> </th></tr> <tr> <th>分数 </th> <th>分母的素数因子 </th> <th>小数表示 </th> <th>小数表示 </th> <th>分母的素数因子 </th> <th>分数 </th></tr> <tr> <td align="center">1/2 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td><b>0.5</b> </td> <td><b>0.6</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td align="center">1/2 </td></tr> <tr> <td align="center">1/3 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b>3333... = <b>0.</b><span style="text-decoration:overline;">3</span> </td> <td><b>0.4</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span> </td> <td align="center">1/3 </td></tr> <tr> <td align="center">1/4 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td><b>0.25</b> </td> <td><b>0.3</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td align="center">1/4 </td></tr> <tr> <td align="center">1/5 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>5</b></span> </td> <td><b>0.2</b> </td> <td bgcolor="#c0c0c0"><b>0.</b>24972497... = <b>0.</b><span style="text-decoration:overline;">2497</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>5</b></span> </td> <td align="center">1/5 </td></tr> <tr> <td align="center">1/6 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span> </td> <td bgcolor="#c0c0c0"><b>0.1</b><span style="text-decoration:overline;">6</span> </td> <td><b>0.2</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span> </td> <td align="center">1/6 </td></tr> <tr> <td align="center">1/7 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">142857</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">186A35</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td align="center">1/7 </td></tr> <tr> <td align="center">1/8 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td><b>0.125</b> </td> <td><b>0.16</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td align="center">1/8 </td></tr> <tr> <td align="center">1/9 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">1</span> </td> <td><b>0.14</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span> </td> <td align="center">1/9 </td></tr> <tr> <td align="center">1/10 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>5</b></span> </td> <td><b>0.1</b> </td> <td bgcolor="#c0c0c0"><b>0.1</b><span style="text-decoration:overline;">2497</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>5</b></span> </td> <td align="center">1/A </td></tr> <tr> <td align="center">1/11 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>11</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">09</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">1</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>B</b></span> </td> <td align="center">1/B </td></tr> <tr> <td align="center">1/12 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span> </td> <td bgcolor="#c0c0c0"><b>0.08</b><span style="text-decoration:overline;">3</span> </td> <td><b>0.1</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span> </td> <td align="center">1/10 </td></tr> <tr> <td align="center">1/13 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>13</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">076923</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">0B</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>11</b></span> </td> <td align="center">1/11 </td></tr> <tr> <td align="center">1/14 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">714285</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">A35186</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td align="center">1/12 </td></tr> <tr> <td align="center">1/15 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>5</b></span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">6</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">9724</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>5</b></span> </td> <td align="center">1/13 </td></tr> <tr> <td align="center">1/16 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td><b>0.0625</b> </td> <td><b>0.09</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td align="center">1/14 </td></tr> <tr> <td align="center">1/17 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>17</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">0588235294117647</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">08579214B36429A7</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>15</b></span> </td> <td align="center">1/15 </td></tr> <tr> <td align="center">1/18 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">5</span> </td> <td><b>0.08</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span> </td> <td align="center">1/16 </td></tr> <tr> <td align="center">1/19 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>19</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">052631578947368421</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">076B45</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>17</b></span> </td> <td align="center">1/17 </td></tr> <tr> <td align="center">1/20 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>5</b></span> </td> <td><b>0.05</b> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">7249</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>5</b></span> </td> <td align="center">1/18 </td></tr> <tr> <td align="center">1/21 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">047619</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">6A3518</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td align="center">1/19 </td></tr> <tr> <td align="center">1/22 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>11</b></span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">45</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">6</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>B</b></span> </td> <td align="center">1/1A </td></tr> <tr> <td align="center">1/23 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>23</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">0434782608695652173913</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">06316948421</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>1B</b></span> </td> <td align="center">1/1B </td></tr> <tr> <td align="center">1/24 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span> </td> <td bgcolor="#c0c0c0"><b>0.041</b><span style="text-decoration:overline;">6</span> </td> <td><b>0.06</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span> </td> <td align="center">1/20 </td></tr> <tr> <td align="center">1/25 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>5</b></span> </td> <td><b>0.04</b> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">05915343A0B62A68781B</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>5</b></span> </td> <td align="center">1/21 </td></tr> <tr> <td align="center">1/26 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>13</b></span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">384615</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">56</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>11</b></span> </td> <td align="center">1/22 </td></tr> <tr> <td align="center">1/27 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">037</span> </td> <td><b>0.054</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span> </td> <td align="center">1/23 </td></tr> <tr> <td align="center">1/28 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td bgcolor="#c0c0c0"><b>0.03</b><span style="text-decoration:overline;">571428</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">5186A3</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td align="center">1/24 </td></tr> <tr> <td align="center">1/29 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>29</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">0344827586206896551724137931</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">04B7</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>25</b></span> </td> <td align="center">1/25 </td></tr> <tr> <td align="center">1/30 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>5</b></span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">3</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">4972</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>5</b></span> </td> <td align="center">1/26 </td></tr> <tr> <td align="center">1/31 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>31</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">032258064516129</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">0478AA093598166B74311B28623A55</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>27</b></span> </td> <td align="center">1/27 </td></tr> <tr> <td align="center">1/32 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td><b>0.03125</b> </td> <td><b>0.046</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span> </td> <td align="center">1/28 </td></tr> <tr> <td align="center">1/33 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>11</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">03</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">4</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>B</b></span> </td> <td align="center">1/29 </td></tr> <tr> <td align="center">1/34 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>17</b></span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">2941176470588235</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">429A708579214B36</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>15</b></span> </td> <td align="center">1/2A </td></tr> <tr> <td align="center">1/35 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>5</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">285714</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">0414559B3931</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>5</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>7</b></span> </td> <td align="center">1/2B </td></tr> <tr> <td align="center">1/36 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span> </td> <td bgcolor="#c0c0c0"><b>0.02</b><span style="text-decoration:overline;">7</span> </td> <td><b>0.04</b> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span> </td> <td align="center">1/30 </td></tr> <tr> <td align="center">1/37 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>37</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">027</span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">03A85232B</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>31</b></span> </td> <td align="center">1/31 </td></tr> <tr> <td align="center">1/38 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>19</b></span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">263157894736842105</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">395826</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>17</b></span> </td> <td align="center">1/32 </td></tr> <tr> <td align="center">1/39 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>13</b></span> </td> <td bgcolor="#c0c0c0"><b>0.</b><span style="text-decoration:overline;">025641</span> </td> <td bgcolor="#c0c0c0"><b>0.0</b><span style="text-decoration:overline;">38</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>3</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>11</b></span> </td> <td align="center">1/33 </td></tr> <tr> <td align="center">1/40 </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>5</b></span> </td> <td><b>0.025</b> </td> <td bgcolor="#c0c0c0"><b>0.03</b><span style="text-decoration:overline;">7249</span> </td> <td align="center"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:green"><b>2</b></span>, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r83933911"><span class="tmp-color" style="color:Red"><b>5</b></span> </td> <td align="center">1/34 </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="无理数"><span id=".E6.97.A0.E7.90.86.E6.95.B0"></span>无理数</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=14" title="编辑章节：无理数"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>无论对于十进制、十二进制还是其他以有理数为底数的记数系统，所有的<a href="/wiki/%E6%97%A0%E7%90%86%E6%95%B0" class="mw-redirect" title="无理数">无理数</a>都只能表示成<a href="/wiki/%E6%97%A0%E9%99%90%E4%B8%8D%E5%BE%AA%E7%8E%AF%E5%B0%8F%E6%95%B0" class="mw-redirect" title="无限不循环小数">无限不循环小数</a>。下表列出了一些<a href="/wiki/%E4%BB%A3%E6%95%B0%E6%95%B0" class="mw-redirect" title="代数数">代数无理数</a>和<a href="/wiki/%E8%B6%85%E8%B6%8A%E6%95%B0" class="mw-redirect" title="超越数">超越无理数</a>的十进制与十二进制的表示。 </p> <table class="wikitable"> <tbody><tr> <th>代数数 </th> <th>十进制 </th> <th>十二进制 </th></tr> <tr> <td align="center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4afc1e27d418021bf10898eb44a7f5f315735ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.098ex; height:3.009ex;" alt="{\displaystyle {\sqrt {2}}}"></span> </td> <td>1.41421356237309... (≈ 1.414) </td> <td>1.4B79170A07B857... (≈ 1.4B8) </td></tr> <tr> <td align="center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\sqrt {3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3b19c09494138b5082459afac7f9a8d99c546fcd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.098ex; height:2.843ex;" alt="{\displaystyle {\sqrt {3}}}"></span> </td> <td>1.73205080756887... (≈ 1.732) </td> <td>1.894B97BB968704... (≈ 1.895) </td></tr> <tr> <td align="center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\sqrt {5}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {5}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2b78ccdb7e18e02d4fc567c66aac99bf524acb5f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.098ex; height:2.843ex;" alt="{\displaystyle {\sqrt {5}}}"></span> </td> <td>2.2360679774997... (≈ 2.236) </td> <td>2.29BB132540589... (≈ 2.2A) </td></tr> <tr> <td align="center"><a href="/wiki/%E9%BB%84%E9%87%91%E5%88%86%E5%89%B2" class="mw-redirect" title="黄金分割">φ</a>（黄金分割，<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle ={\tfrac {1+{\sqrt {5}}}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>5</mn> </msqrt> </mrow> </mrow> <mn>2</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle ={\tfrac {1+{\sqrt {5}}}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/772a3e817f3d19a879feef698efec8bd1491eecf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:7.581ex; height:4.176ex;" alt="{\displaystyle ={\tfrac {1+{\sqrt {5}}}{2}}}"></span>） </td> <td>1.6180339887498... (≈ 1.618) </td> <td>1.74BB6772802A4... (≈ 1.75) </td></tr> <tr> <th>超越无理数 </th> <th>十进制 </th> <th>十二进制 </th></tr> <tr> <td align="center"><i><a href="/wiki/%E5%9C%86%E5%91%A8%E7%8E%87" class="mw-redirect" title="圆周率">π</a></i>（圆周率） </td> <td>3.1415926535897932384626433<br />8327950288419716939937510...<br />(≈ 3.1416) </td> <td>3.184809493B918664573A6211B<br />B151551A05729290A7809A492...<br />(≈ 3.1848) </td></tr> <tr> <td align="center"><a href="/wiki/E_(%E6%95%B0%E5%AD%A6%E5%B8%B8%E6%95%B0)" title="E (数学常数)">e</a>（自然对数的底） </td> <td>2.718281828459045... (≈ 2.718) </td> <td>2.8752360698219B8... (≈ 2.875) </td></tr></tbody></table> <p>下面是另一个重要常数<a href="/wiki/%E6%AC%A7%E6%8B%89-%E9%A9%AC%E6%AD%87%E7%BD%97%E5%B0%BC%E5%B8%B8%E6%95%B0" class="mw-redirect" title="欧拉-马歇罗尼常数">欧拉-马歇罗尼常数</a>在十进制与十二进制中的表示（现在仍无法确定其是有理数还是无理数）： </p> <table class="wikitable"> <tbody><tr> <th>数 </th> <th>十进制 </th> <th>十二进制 </th></tr> <tr> <td align="center"><a href="/wiki/%E6%AC%A7%E6%8B%89-%E9%A9%AC%E6%AD%87%E7%BD%97%E5%B0%BC%E5%B8%B8%E6%95%B0" class="mw-redirect" title="欧拉-马歇罗尼常数">γ</a>（欧拉-马歇罗尼常数） </td> <td>0.57721566490153... (~ 0.577) </td> <td>0.6B15188A6760B3... (~ 0.6B1) </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="支持"><span id=".E6.94.AF.E6.8C.81"></span>支持</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=15" title="编辑章节：支持"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>F·爱默生·安德鲁斯（F. Emerson Adnrews）在其1935年出版的著作《新的数字：接受十二进制使数学更简单》（New Numbers: How Acceptance of Duodecimal Base Would Simplify Mathematics）中详细地提出了一种基于十二进制的体系。安德鲁斯写到，由于12的因子在许多传统度量衡中很普遍，很多所谓米制在计算上的优势在十二进制中同样存在。 </p><p>十二进制和十六进制与二十进制一样，一般都都以A代表10，而B代表11。而安德鲁斯在他的书中提出了一种新的方案，使用手写体的X和E，即<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13b85d29899b2b2e4931388408d51f4fb086e7ec" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.271ex; width:1.214ex; height:1.676ex;" alt="{\displaystyle x\!}"></span>(<a href="/wiki/Unicode" title="Unicode">U+</a>1D4B3)和<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {E}}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">E</mi> </mrow> </mrow> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {E}}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2713483baa90a003df305a5baa8b3af1ead58a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:1.311ex; height:2.176ex;" alt="{\displaystyle {\mathcal {E}}\!}"></span>(U+2130)来分别代表10和11。原因是这两个符号能与其他的字母与数字很好地区别开，同时<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13b85d29899b2b2e4931388408d51f4fb086e7ec" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.271ex; width:1.214ex; height:1.676ex;" alt="{\displaystyle x\!}"></span>和X（即罗马数字10）很相像，而<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {E}}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">E</mi> </mrow> </mrow> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {E}}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2713483baa90a003df305a5baa8b3af1ead58a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:1.311ex; height:2.176ex;" alt="{\displaystyle {\mathcal {E}}\!}"></span>则是单词eleven（即英文11）的首字母。 </p><p>另一种知名的标记方法是<a href="/w/index.php?title=%E8%89%BE%E8%90%A8%E5%85%8B%C2%B7%E7%9A%AE%E7%89%B9%E6%9B%BC&action=edit&redlink=1" class="new" title="艾萨克·皮特曼（页面不存在）">艾萨克·皮特曼</a>提出的，它主张用翻转的2表示10，水平翻转的3代表11（也就是<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {E}}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">E</mi> </mrow> </mrow> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {E}}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2713483baa90a003df305a5baa8b3af1ead58a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:1.311ex; height:2.176ex;" alt="{\displaystyle {\mathcal {E}}\!}"></span>）。这一方案被大不列颠十二进制协会（Donzel Society of Great Britain）所采用，其优势是与现有数字相似，比较容易辩认。而美国十二进制协会则用<a href="/wiki/%E6%98%9F%E5%8F%B7" class="mw-redirect" title="星号">星号</a>*和<a href="/wiki/%E4%BA%95%E5%8F%B7" class="mw-redirect" title="井号">井号</a>#分别代表10和11，原因在于*类似加上删除线的X、#类似加上双删除线的11，而且两者正好都能在电话拨号盘上找到。然而，批评者则指责说这些符号看起来完全不像数字。还有些系统用ɸ表示10（1与0的合体）以及交叉的十字+、x、或者†表示11。而所有这些符号的缺点是无法在计算器上通过<a href="/w/index.php?title=%E4%B8%83%E6%AE%B5LED%E6%95%B0%E7%A0%81%E7%AE%A1&action=edit&redlink=1" class="new" title="七段LED数码管（页面不存在）">七段LED数码管</a>来显示（<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {E}}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">E</mi> </mrow> </mrow> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {E}}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2713483baa90a003df305a5baa8b3af1ead58a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:1.311ex; height:2.176ex;" alt="{\displaystyle {\mathcal {E}}\!}"></span>是个例外，但很多计算器上已经用E来表示错误信息了）。不过，10和11本身倒是能够在一个数码内显示（11显然可以，10需要进行翻转，如同O加上了<a href="/wiki/%E9%95%BF%E9%9F%B3%E7%AC%A6%E5%8F%B7" class="mw-redirect" title="长音符号">长音符号</a>，即ō或<u>0</u>）。A和B也可以做到这一点，只是B需要改用小写的b。 </p><p>在美国动漫教学片《校舍摇滚》（Schoolhouse Rock!）的一集中，描绘了一个外星小孩使用十二进制算术的场景，分别用dek、el和doh作为10、11和12的名称，还使用安德鲁斯的符号<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13b85d29899b2b2e4931388408d51f4fb086e7ec" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.271ex; width:1.214ex; height:1.676ex;" alt="{\displaystyle x\!}"></span>和<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathcal {E}}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">E</mi> </mrow> </mrow> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathcal {E}}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2713483baa90a003df305a5baa8b3af1ead58a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:1.311ex; height:2.176ex;" alt="{\displaystyle {\mathcal {E}}\!}"></span>来表示10和11。（dek来自前缀deca，el是eleven的缩写，而doh是dozen的缩写） </p><p>美国十二进制协会和大不列颠十二进制协会都在促进十二进制在更大范围内的使用。他们还使用dozenal替代duodecimal（英语：十二进制），原因是后者来自<a href="/wiki/%E6%8B%89%E4%B8%81%E8%AF%AD" title="拉丁语">拉丁语</a>词根，用十进制的方法来表示12，即将12拆为了2和10。 </p><p>知名数学家<a href="/w/index.php?title=%E4%BA%9A%E5%8E%86%E5%B1%B1%E5%A4%A7%C2%B7%E8%89%BE%E7%89%B9%E8%82%AF&action=edit&redlink=1" class="new" title="亚历山大·艾特肯（页面不存在）">亚历山大·艾特肯</a>（Alexander Craig Aitken）曾说“十二进制比十进制更易于掌握，使用十二进制进行计算会比用十进制快一半以上”，<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup>他还说如果十二进制的效率是100分的话，十进制只有65分或更低。<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p><p>在<a href="/w/index.php?title=%E9%87%8C%E5%A5%A5%C2%B7%E5%BC%97%E5%85%B0%E5%85%8B%E6%96%AF%E5%9F%BA&action=edit&redlink=1" class="new" title="里奥·弗兰克斯基（页面不存在）">里奥·弗兰克斯基</a>（Leo Frankowski）的小说《康拉德·施塔加德》（Conrad Stargard）中，康拉德在商人中引入了一种十二进制的体系，其中的买卖都是以一打或一罗作为单位来计数的。他还发明了一整套十二进制的<a href="/wiki/%E8%AE%A1%E9%87%8F%E5%8D%95%E4%BD%8D%E5%88%B6" title="计量单位制">计量单位制</a>，包括每天只有12个小时的时钟。 </p><p>支持过十二进制的还包括<a href="/wiki/%E8%B5%AB%E4%BC%AF%E7%89%B9%C2%B7%E6%96%AF%E5%AE%BE%E5%A1%9E" title="赫伯特·斯宾塞">赫伯特·斯宾塞</a>、<a href="/wiki/%E7%BA%A6%E7%BF%B0%C2%B7%E6%98%86%E8%A5%BF%C2%B7%E4%BA%9A%E5%BD%93%E6%96%AF" title="约翰·昆西·亚当斯">约翰·昆西·亚当斯</a>和<a href="/wiki/%E8%90%A7%E4%BC%AF%E7%BA%B3" title="萧伯纳">萧伯纳</a>等。<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="参考"><span id=".E5.8F.82.E8.80.83"></span>参考</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&action=edit&section=16" title="编辑章节：参考"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><cite id="CITEREFNishikawa2002" class="citation">Nishikawa, Yoshiaki, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20080329150110/http://www.kankyok.co.jp/nue/nue11/nue11_01.html">ヒマラヤの満月と十二進法 (The Full Moon in the Himalayas and the Duodecimal System)</a>, 2002 <span class="reference-accessdate"> [<span class="nowrap">2008-03-24</span>]</span>, （<a rel="nofollow" class="external text" href="http://www.kankyok.co.jp/nue/nue11/nue11_01.html">原始内容</a>存档于2008-03-29）</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&rft.aufirst=Yoshiaki&rft.aulast=Nishikawa&rft.btitle=%E3%83%92%E3%83%9E%E3%83%A9%E3%83%A4%E3%81%AE%E6%BA%80%E6%9C%88%E3%81%A8%E5%8D%81%E4%BA%8C%E9%80%B2%E6%B3%95+%28The+Full+Moon+in+the+Himalayas+and+the+Duodecimal+System%29&rft.date=2002&rft.genre=book&rft_id=http%3A%2F%2Fwww.kankyok.co.jp%2Fnue%2Fnue11%2Fnue11_01.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><cite id="CITEREFMatsushita1998" class="citation">Matsushita, Shuji, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20081005230737/http://www3.aa.tufs.ac.jp/~P_aflang/TEXTS/oct98/decimal.html">Decimal vs. Duodecimal: An interaction between two systems of numeration</a>, 2nd Meeting of the AFLANG, October 1998, Tokyo, 1998 <span class="reference-accessdate"> [<span class="nowrap">2008-03-17</span>]</span>, （<a rel="nofollow" class="external text" href="http://www3.aa.tufs.ac.jp/~P_aflang/TEXTS/oct98/decimal.html">原始内容</a>存档于2008-10-05）</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&rft.atitle=Decimal+vs.+Duodecimal%3A+An+interaction+between+two+systems+of+numeration&rft.aufirst=Shuji&rft.aulast=Matsushita&rft.date=1998&rft.genre=article&rft.jtitle=2nd+Meeting+of+the+AFLANG%2C+October+1998%2C+Tokyo&rft_id=http%3A%2F%2Fwww3.aa.tufs.ac.jp%2F~P_aflang%2FTEXTS%2Foct98%2Fdecimal.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><cite id="CITEREFMazaudon2002" class="citation">Mazaudon, Martine, Les principes de construction du nombre dans les langues tibéto-birmanes, François, Jacques (编), <a rel="nofollow" class="external text" href="http://halshs.archives-ouvertes.fr/docs/00/16/68/91/PDF/numerationTB_SLP.pdf">La Pluralité</a> <span style="font-size:85%;">(PDF)</span>, Leuven: Peeters: 91–119, 2002 <span class="reference-accessdate"> [<span class="nowrap">2010-01-27</span>]</span>, <a href="/wiki/Special:%E7%BD%91%E7%BB%9C%E4%B9%A6%E6%BA%90/9042912952" title="Special:网络书源/9042912952"><span title="国际标准书号">ISBN</span> 9042912952</a>, （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20100827054740/http://halshs.archives-ouvertes.fr/docs/00/16/68/91/PDF/numerationTB_SLP.pdf">存档</a> <span style="font-size:85%;">(PDF)</span>于2010-08-27）</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&rft.atitle=Les+principes+de+construction+du+nombre+dans+les+langues+tib%C3%A9to-birmanes&rft.aufirst=Martine&rft.aulast=Mazaudon&rft.btitle=La+Pluralit%C3%A9&rft.date=2002&rft.genre=bookitem&rft.isbn=9042912952&rft.pages=91-119&rft.place=Leuven&rft.pub=Peeters&rft_id=http%3A%2F%2Fhalshs.archives-ouvertes.fr%2Fdocs%2F00%2F16%2F68%2F91%2FPDF%2FnumerationTB_SLP.pdf&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="http://www.dozenalsociety.org.uk/leafletsetc/aitken.html">Basic Stuff</a>. <span class="reference-accessdate"> [<span class="nowrap">2010-01-27</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20100520061820/http://www.dozenalsociety.org.uk/leafletsetc/aitken.html">存档</a>于2010-05-20）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&rft.btitle=Basic+Stuff&rft.genre=unknown&rft_id=http%3A%2F%2Fwww.dozenalsociety.org.uk%2Fleafletsetc%2Faitken.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="http://www.dozenalsociety.org.uk/pdfs/aitken.pdf">The Case against Decimalisation</a> <span style="font-size:85%;">(PDF)</span>. <span class="reference-accessdate"> [<span class="nowrap">2010-01-27</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20111008062619/http://www.dozenalsociety.org.uk/pdfs/aitken.pdf">存档</a> <span style="font-size:85%;">(PDF)</span>于2011-10-08）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&rft.btitle=The+Case+against+Decimalisation&rft.genre=unknown&rft_id=http%3A%2F%2Fwww.dozenalsociety.org.uk%2Fpdfs%2Faitken.pdf&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><cite class="citation web"><a href="/wiki/%E5%9F%83%E9%87%8C%E5%85%8B%C2%B7%E9%9F%A6%E6%96%AF%E5%9D%A6%E5%9B%A0" title="埃里克·韦斯坦因">Weisstein, Eric W.</a> (编). <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Duodecimal.html">Duodecimal</a>. at <a href="/wiki/MathWorld" title="MathWorld"><i>MathWorld</i></a>--A Wolfram Web Resource. <a href="/wiki/%E6%B2%83%E5%B0%94%E5%A4%AB%E5%8B%92%E5%A7%86%E7%A0%94%E7%A9%B6%E5%85%AC%E5%8F%B8" title="沃尔夫勒姆研究公司">Wolfram Research, Inc.</a> <span class="reference-accessdate"> [<span class="nowrap">2010-01-27</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20100520023206/http://mathworld.wolfram.com/Duodecimal.html">存档</a>于2010-05-20） <span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="连接到英语网页">（英语）</span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&rft.atitle=Duodecimal&rft.aufirst=Eric+W.&rft.aulast=Weisstein&rft.genre=unknown&rft.jtitle=at+%27%27MathWorld%27%27--A+Wolfram+Web+Resource&rft_id=http%3A%2F%2Fmathworld.wolfram.com%2FDuodecimal.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div> <p class="mw-empty-elt"> </p> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84265675"><style data-mw-deduplicate="TemplateStyles:r84261037">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{text-align:center;padding-left:1em;padding-right:1em}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd}.mw-parser-output .navbox-list{border-color:#fdfdfd}.mw-parser-output .navbox-list-with-group{text-align:left;border-left-width:2px;border-left-style:solid}.mw-parser-output tr+tr>.navbox-abovebelow,.mw-parser-output tr+tr>.navbox-group,.mw-parser-output tr+tr>.navbox-image,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf;position:relative}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em;width:auto;padding-left:0.2em;position:absolute;left:1em}.mw-parser-output .navbox .mw-collapsible-toggle{margin-left:0.5em;position:absolute;right:1em}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}</style></div><div role="navigation" class="navbox" aria-labelledby="进制的记数系统" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="collapsible-title navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84265675"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84244141"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Pns" title="Template:Pns"><abbr title="查看该模板">查</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Pns" title="Template talk:Pns"><abbr title="讨论该模板">论</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:%E7%BC%96%E8%BE%91%E9%A1%B5%E9%9D%A2/Template:Pns" title="Special:编辑页面/Template:Pns"><abbr title="编辑该模板">编</abbr></a></li></ul></div><div id="进制的记数系统" style="font-size:110%;margin:0 5em"><a href="/wiki/%E8%BF%9B%E4%BD%8D%E5%88%B6" title="进位制">进制</a>的<a href="/wiki/%E8%AE%B0%E6%95%B0%E7%B3%BB%E7%BB%9F" title="记数系统">记数系统</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">基本进位制</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E4%B8%80%E8%BF%9B%E5%88%B6" title="一进制">一进制</a></li> <li><a href="/wiki/%E4%BA%8C%E8%BF%9B%E5%88%B6" title="二进制">二进制</a></li> <li><a href="/wiki/%E4%B8%89%E8%BF%9B%E5%88%B6" title="三进制">三进制</a></li> <li><a href="/wiki/%E5%9B%9B%E9%80%B2%E5%88%B6" title="四進制">四进制</a></li> <li><a href="/wiki/%E4%BA%94%E9%80%B2%E5%88%B6" title="五進制">五进制</a></li> <li><a href="/wiki/%E5%85%AD%E8%BF%9B%E5%88%B6" title="六进制">六进制</a></li> <li><a href="/w/index.php?title=%E4%B8%83%E9%80%B2%E5%88%B6&action=edit&redlink=1" class="new" title="七進制（页面不存在）">七進制</a></li> <li><a href="/wiki/%E5%85%AB%E8%BF%9B%E5%88%B6" title="八进制">八进制</a></li> <li><a href="/wiki/%E4%B9%9D%E9%80%B2%E4%BD%8D" title="九進位">九进制</a></li> <li><a href="/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6" title="十进制">十进制</a></li> <li><a href="/wiki/%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6" title="十一进制">十一进制</a></li> <li><a class="mw-selflink selflink">十二进制</a></li> <li><a href="/w/index.php?title=%E5%8D%81%E4%B8%89%E8%BF%9B%E5%88%B6&action=edit&redlink=1" class="new" title="十三进制（页面不存在）">十三进制</a></li> <li><a href="/w/index.php?title=%E5%8D%81%E5%9B%9B%E8%BF%9B%E5%88%B6&action=edit&redlink=1" class="new" title="十四进制（页面不存在）">十四进制</a></li> <li><a href="/w/index.php?title=%E5%8D%81%E4%BA%94%E8%BF%9B%E5%88%B6&action=edit&redlink=1" class="new" title="十五进制（页面不存在）">十五进制</a></li> <li><a href="/wiki/%E5%8D%81%E5%85%AD%E8%BF%9B%E5%88%B6" title="十六进制">十六进制</a></li> <li><a href="/w/index.php?title=%E5%8D%81%E4%B8%83%E8%BF%9B%E5%88%B6&action=edit&redlink=1" class="new" title="十七进制（页面不存在）">十七进制</a></li> <li><a href="/w/index.php?title=%E5%8D%81%E5%85%AB%E8%BF%9B%E5%88%B6&action=edit&redlink=1" class="new" title="十八进制（页面不存在）">十八进制</a></li> <li><a href="/w/index.php?title=%E5%8D%81%E4%B9%9D%E8%BF%9B%E5%88%B6&action=edit&redlink=1" class="new" title="十九进制（页面不存在）">十九进制</a></li> <li><a href="/wiki/%E4%BA%8C%E5%8D%81%E8%BF%9B%E5%88%B6" title="二十进制">二十进制</a></li> <li><a href="/wiki/%E4%BA%8C%E5%8D%81%E5%85%AD%E8%BF%9B%E5%88%B6" class="mw-disambig" title="二十六进制">二十六进制</a></li> <li><a href="/wiki/%E4%B8%89%E5%8D%81%E5%85%AD%E8%BF%9B%E5%88%B6" title="三十六进制">三十六进制</a></li> <li><a href="/wiki/%E5%85%AD%E5%8D%81%E9%80%B2%E5%88%B6" title="六十進制">六十进制</a></li> <li><a href="/wiki/%E8%BF%9B%E4%BD%8D%E5%88%B6" title="进位制">六十四进制</a></li> <li><a href="/w/index.php?title=%E4%B8%80%E7%99%BE%E9%80%B2%E5%88%B6&action=edit&redlink=1" class="new" title="一百進制（页面不存在）">一百进制</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">平衡进位制</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/wiki/%E5%B9%B3%E8%A1%A1%E4%B8%89%E9%80%B2%E4%BD%8D" title="平衡三進位">平衡三进制</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E5%B9%BF%E4%B9%89%E7%9A%84%E8%BF%9B%E5%88%B6%E7%B3%BB%E7%BB%9F" title="广义的进制系统">广义的进制系统</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Base64" title="Base64">Base64</a></li> <li><a href="/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6#十进位制" title="十进制">十进位制</a></li> <li><a href="/w/index.php?title=%E4%BA%8C%E9%80%B2%E6%8C%87%E6%95%B8%E6%B3%95&action=edit&redlink=1" class="new" title="二進指數法（页面不存在）">二進指數法</a></li> <li><a href="/wiki/%E9%9D%9E%E6%95%B4%E6%95%B0%E8%BF%9B%E4%BD%8D%E5%88%B6" title="非整数进位制">非整数进位制</a> <ul><li><a href="/w/index.php?title=%E6%A0%B9%E5%8F%B72%E8%BF%9B%E5%88%B6&action=edit&redlink=1" class="new" title="根号2进制（页面不存在）">根號2进制</a></li> <li><a href="/wiki/%E9%BB%84%E9%87%91%E8%BF%9B%E5%88%B6" title="黄金进制">黄金进制</a></li> <li><a href="/wiki/E%E8%BF%9B%E5%88%B6" title="E进制">e进制</a></li></ul></li> <li><span class="ilh-all" data-orig-title="负底数进制" data-lang-code="en" data-lang-name="英语" data-foreign-title="Negative base"><span class="ilh-page"><a href="/w/index.php?title=%E8%B4%9F%E5%BA%95%E6%95%B0%E8%BF%9B%E5%88%B6&action=edit&redlink=1" class="new" title="负底数进制（页面不存在）">负底数进制</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Negative_base" class="extiw" title="en:Negative base"><span lang="en" dir="auto">Negative base</span></a></span>）</span></span></li> <li><a href="/wiki/%E5%A4%8D%E5%BA%95%E6%95%B0%E8%BF%9B%E5%88%B6" title="复底数进制">複底数进制</a> <ul><li><a href="/wiki/2i%E9%80%B2%E5%88%B6" title="2i進制">2i进制</a></li> <li><a href="/wiki/-1%C2%B1i%E8%BF%9B%E5%88%B6" class="mw-redirect" title="-1±i进制">-1±i进制</a></li></ul></li> <li><span class="ilh-all" data-orig-title="混合底數" data-lang-code="en" data-lang-name="英语" data-foreign-title="Mixed radix"><span class="ilh-page"><a href="/w/index.php?title=%E6%B7%B7%E5%90%88%E5%BA%95%E6%95%B8&action=edit&redlink=1" class="new" title="混合底數（页面不存在）">混合底數</a></span><span class="noprint ilh-comment">（<span class="ilh-lang">英语</span><span class="ilh-colon">：</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Mixed_radix" class="extiw" title="en:Mixed radix"><span lang="en" dir="auto">Mixed radix</span></a></span>）</span></span> <ul><li><a href="/wiki/%E9%98%B6%E4%B9%98%E8%BF%9B%E5%88%B6" title="阶乘进制">阶乘进制</a></li></ul></li> <li><a href="/wiki/%E6%96%90%E6%B3%A2%E9%82%A3%E5%A5%91%E7%BC%96%E7%A0%81" title="斐波那契编码">斐波那契編碼</a></li> <li><a href="/wiki/%E9%9B%99%E5%B0%84%E8%A8%98%E6%95%B8" title="雙射記數">双射记数系统</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">相關條目</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E5%BA%95%E6%95%B0_(%E8%BF%9B%E5%88%B6)" title="底数 (进制)">底数</a></li> <li><a href="/wiki/%E6%95%B0%E4%BD%8D_(%E6%95%B0%E5%AD%A6)" title="数位 (数学)">数位</a></li> <li><a href="/wiki/%E4%BD%8D%E5%85%83" title="位元"> 比特 </a></li> <li><a href="/wiki/%E5%AD%97%E8%8A%82" title="字节">位元組</a></li> <li><a href="/wiki/%E8%BF%9B%E4%BD%8D%E5%88%B6" title="进位制">进位制</a></li> <li><a href="/wiki/%E7%B1%B3%E8%BF%AA%E5%AE%9A%E7%90%86" title="米迪定理">米迪定理</a></li> <li><a href="/wiki/%E8%AE%B0%E6%95%B0%E7%B3%BB%E7%BB%9F" title="记数系统">记数系统</a></li></ul> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">检索自“<a dir="ltr" href="https://zh.wikipedia.org/w/index.php?title=十二进制&oldid=82112466">https://zh.wikipedia.org/w/index.php?title=十二进制&oldid=82112466</a>”</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Special:%E9%A1%B5%E9%9D%A2%E5%88%86%E7%B1%BB" title="Special:页面分类">分类</a>：<ul><li><a href="/wiki/Category:%E8%BF%9B%E4%BD%8D%E5%88%B6" title="Category:进位制">进位制</a></li><li><a href="/wiki/Category:12" title="Category:12">12</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">隐藏分类：<ul><li><a href="/wiki/Category:CS1%E8%8B%B1%E8%AF%AD%E6%9D%A5%E6%BA%90_(en)" title="Category:CS1英语来源 (en)">CS1英语来源 (en)</a></li><li><a href="/wiki/Category:%E8%87%AA2019%E5%B9%B46%E6%9C%88%E5%BC%95%E7%94%A8%E4%B8%8D%E5%BD%93%E7%9A%84%E6%9D%A1%E7%9B%AE" title="Category:自2019年6月引用不当的条目">自2019年6月引用不当的条目</a></li><li><a href="/wiki/Category:%E6%8B%92%E7%BB%9D%E5%BD%93%E9%80%89%E9%A6%96%E9%A1%B5%E6%96%B0%E6%9D%A1%E7%9B%AE%E6%8E%A8%E8%8D%90%E6%A0%8F%E7%9B%AE%E7%9A%84%E6%9D%A1%E7%9B%AE" title="Category:拒绝当选首页新条目推荐栏目的条目">拒绝当选首页新条目推荐栏目的条目</a></li><li><a href="/wiki/Category:%E8%87%AA2019%E5%B9%B46%E6%9C%88%E5%87%86%E7%A1%AE%E6%80%A7%E6%9C%89%E4%BA%89%E8%AE%AE%E7%9A%84%E4%BD%9C%E5%93%81" title="Category:自2019年6月准确性有争议的作品">自2019年6月准确性有争议的作品</a></li><li><a href="/wiki/Category:%E8%87%AA2019%E5%B9%B46%E6%9C%88%E5%8F%AF%E8%83%BD%E5%B8%A6%E6%9C%89%E5%8E%9F%E5%88%9B%E7%A0%94%E7%A9%B6%E7%9A%84%E6%9D%A1%E7%9B%AE" title="Category:自2019年6月可能带有原创研究的条目">自2019年6月可能带有原创研究的条目</a></li><li><a href="/wiki/Category:%E8%87%AA2019%E5%B9%B46%E6%9C%88%E9%9C%80%E8%A1%A5%E5%85%85%E6%9D%A5%E6%BA%90%E7%9A%84%E6%9D%A1%E7%9B%AE" title="Category:自2019年6月需补充来源的条目">自2019年6月需补充来源的条目</a></li><li><a href="/wiki/Category:%E5%90%AB%E6%9C%89%E5%A4%9A%E4%B8%AA%E9%97%AE%E9%A2%98%E7%9A%84%E6%9D%A1%E7%9B%AE" title="Category:含有多个问题的条目">含有多个问题的条目</a></li><li><a href="/wiki/Category:%E8%87%AA2019%E5%B9%B46%E6%9C%88%E7%BB%B4%E5%9F%BA%E7%99%BE%E7%A7%91%E9%9C%80%E8%A6%81%E9%A3%8E%E6%A0%BC%E7%BC%96%E8%BE%91%E7%9A%84%E6%9D%A1%E7%9B%AE" title="Category:自2019年6月维基百科需要风格编辑的条目">自2019年6月维基百科需要风格编辑的条目</a></li><li><a href="/wiki/Category:%E8%87%AA2019%E5%B9%B46%E6%9C%88%E9%9C%80%E8%A6%81%E6%B8%85%E7%90%86%E7%9A%84%E5%85%A7%E5%AE%B9%E7%91%A3%E7%A2%8E%E6%A2%9D%E7%9B%AE" title="Category:自2019年6月需要清理的內容瑣碎條目">自2019年6月需要清理的內容瑣碎條目</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> 本页面最后修订于2024年4月1日 (星期一) 12:55。</li> <li id="footer-info-copyright">本站的全部文字在<a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.zh">知识共享署名-相同方式共享 4.0协议</a>之条款下提供，附加条款亦可能应用。（请参阅<a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">使用条款</a>）<br /> Wikipedia®和维基百科标志是<a rel="nofollow" class="external text" href="https://wikimediafoundation.org/zh">维基媒体基金会</a>的注册商标；维基™是维基媒体基金会的商标。<br /> 维基媒体基金会是按美国国內稅收法501(c)(3)登记的<a class="external text" href="https://donate.wikimedia.org/wiki/Special:MyLanguage/Tax_deductibility">非营利慈善机构</a>。<br /></li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">隐私政策</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:%E5%85%B3%E4%BA%8E">关于维基百科</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:%E5%85%8D%E8%B4%A3%E5%A3%B0%E6%98%8E">免责声明</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">行为准则</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">开发者</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/zh.wikipedia.org">统计</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie声明</a></li> <li id="footer-places-mobileview"><a href="//zh.m.wikipedia.org/w/index.php?title=%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">手机版视图</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-57488d5c7d-pkznn","wgBackendResponseTime":164,"wgPageParseReport":{"limitreport":{"cputime":"0.604","walltime":"0.814","ppvisitednodes":{"value":7742,"limit":1000000},"postexpandincludesize":{"value":279776,"limit":2097152},"templateargumentsize":{"value":29056,"limit":2097152},"expansiondepth":{"value":16,"limit":100},"expensivefunctioncount":{"value":47,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":148759,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 548.526 1 -total"," 51.75% 283.870 2 Template:Sidebar_with_collapsible_lists"," 31.91% 175.016 1 Template:Table_Numeral_Systems"," 23.34% 128.021 1 Template:Multiple_issues"," 17.60% 96.546 8 Template:Ambox"," 13.20% 72.406 1 Template:Reflist"," 12.71% 69.728 37 Template:Tsl"," 12.57% 68.935 1 Template:Citecheck"," 7.90% 43.331 124 Template:Color"," 7.75% 42.506 3 Template:Citation"]},"scribunto":{"limitreport-timeusage":{"value":"0.230","limit":"10.000"},"limitreport-memusage":{"value":5070611,"limit":52428800}},"cachereport":{"origin":"mw-web.codfw.main-6d67bf974d-hbfbd","timestamp":"20241127233156","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"\u5341\u4e8c\u8fdb\u5236","url":"https:\/\/zh.wikipedia.org\/wiki\/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6","sameAs":"http:\/\/www.wikidata.org\/entity\/Q212177","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q212177","author":{"@type":"Organization","name":"\u7ef4\u57fa\u5a92\u4f53\u9879\u76ee\u8d21\u732e\u8005"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2010-01-27T15:18:36Z","dateModified":"2024-04-01T12:55:25Z","headline":"\u4ee512\u4e3a\u5e95\u6570\u7684\u8ba1\u6570\u7cfb\u7edf"}</script> </body> </html>