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<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-計算" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#計算"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>計算</span> </div> </a> <ul id="toc-計算-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-十一進制加法表" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#十一進制加法表"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>十一進制加法表</span> </div> </a> <ul id="toc-十一進制加法表-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-十一進制乘法表" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#十一進制乘法表"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>十一進制乘法表</span> </div> </a> <ul id="toc-十一進制乘法表-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-使用" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#使用"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>使用</span> </div> </a> <button aria-controls="toc-使用-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>开关使用子章节</span> </button> <ul id="toc-使用-sublist" class="vector-toc-list"> <li id="toc-虛構作品" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#虛構作品"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>虛構作品</span> </div> </a> <ul id="toc-虛構作品-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ISBN" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ISBN"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>ISBN</span> </div> </a> <ul id="toc-ISBN-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-中华人民共和国身份證" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#中华人民共和国身份證"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3</span> <span>中华人民共和国身份證</span> </div> </a> <ul id="toc-中华人民共和国身份證-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-參考資料" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#參考資料"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>參考資料</span> </div> </a> <ul id="toc-參考資料-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-外部鏈結" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#外部鏈結"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>外部鏈結</span> </div> </a> <ul id="toc-外部鏈結-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">十一進位</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。8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-8" 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">8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-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Jeden%C3%A1ctkov%C3%A1_soustava" title="Jedenáctková soustava – 捷克语" lang="cs" hreflang="cs" data-title="Jedenáctková 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-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Undecimal" title="Undecimal – 英语" lang="en" hreflang="en" data-title="Undecimal" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Syst%C3%A8me_und%C3%A9cimal" title="Système undécimal – 法语" lang="fr" hreflang="fr" data-title="Système undécimal" data-language-autonym="Français" data-language-local-name="法语" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8D%81%E4%B8%80%E9%80%B2%E6%B3%95" title="十一進法 – 日语" lang="ja" hreflang="ja" data-title="十一進法" 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%BC%EC%A7%84%EB%B2%95" title="십일진법 – 韩语" lang="ko" hreflang="ko" data-title="십일진법" data-language-autonym="한국어" data-language-local-name="韩语" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Undecimala_talsystemet" title="Undecimala talsystemet – 瑞典语" lang="sv" hreflang="sv" data-title="Undecimala 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-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%8E%E0%AE%A3%E0%AF%8D%E0%AE%95%E0%AF%81%E0%AE%B1%E0%AE%BF_%E0%AE%B5%E0%AE%95%E0%AF%88%E0%AE%95%E0%AE%B3%E0%AE%BF%E0%AE%A9%E0%AF%8D_%E0%AE%AA%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D" title="எண்குறி வகைகளின் பட்டியல் – 泰米尔语" lang="ta" hreflang="ta" data-title="எண்குறி வகைகளின் பட்டியல்" data-language-autonym="தமிழ்" data-language-local-name="泰米尔语" class="interlanguage-link-target"><span>தமிழ்</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-it-ch%C3%ACn-hoat" title="Si̍p-it-chìn-hoat – 闽南语" lang="nan" hreflang="nan" data-title="Si̍p-it-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> </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/Q5357322#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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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%B8%80%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 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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 class="mw-selflink selflink">十一進制</a></li> <li><a href="/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="十二进制">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> <p><b>十一進制</b>（英語：<span lang="en">Undecimal</span>、Base-11）是一種不常用的<a href="/wiki/%E9%80%B2%E4%BD%8D%E5%88%B6" class="mw-redirect" title="進位制">進位制</a>，以<a href="/wiki/11" title="11">11</a>為<a href="/wiki/%E5%BA%95%E6%95%B0_(%E8%BF%9B%E5%88%B6)" title="底数 (进制)">底</a>。 </p><p>在十一進制中，需要11個<a href="/wiki/%E6%95%B8%E5%AD%97" title="數字">數字</a>代表各種<a href="/wiki/%E5%AF%A6%E6%95%B8" class="mw-redirect" title="實數">實數</a>，即為0、1、2、3、4、5、6、7、8、9、A。 </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="計算"><span id=".E8.A8.88.E7.AE.97"></span>計算</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&action=edit&section=1" title="编辑章节：計算"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>一般以正數為底的進位制都可以寫成以下的分解式： </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 \cdots +c_{2}K^{2}+c_{1}K^{1}+c_{0}K^{0}+c_{-1}K^{-1}+c_{-2}K^{-2}+\cdots }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>⋯</mo> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msup> <mi>K</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msup> <mi>K</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mi>K</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msub> <msup> <mi>K</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>2</mn> </mrow> </msub> <msup> <mi>K</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo>⋯</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cdots +c_{2}K^{2}+c_{1}K^{1}+c_{0}K^{0}+c_{-1}K^{-1}+c_{-2}K^{-2}+\cdots }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da37a211f444a646b31695c477df8e14af9515c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:53.649ex; height:3.009ex;" alt="{\displaystyle \cdots +c_{2}K^{2}+c_{1}K^{1}+c_{0}K^{0}+c_{-1}K^{-1}+c_{-2}K^{-2}+\cdots }"></span></dd></dl> <p>記數時寫作： </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 \left(\cdots c_{2}c_{1}c_{0}.c_{-1}c_{-2}\cdots \right)_{K}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow> <mo>(</mo> <mrow> <mo>⋯</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>.</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>2</mn> </mrow> </msub> <mo>⋯</mo> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>K</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left(\cdots c_{2}c_{1}c_{0}.c_{-1}c_{-2}\cdots \right)_{K}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/26df1e0e16445f5bdf9f5aa97a038f0686440bb4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:23.62ex; height:3.009ex;" alt="{\displaystyle \left(\cdots c_{2}c_{1}c_{0}.c_{-1}c_{-2}\cdots \right)_{K}}"></span></dd></dl> <p>在十一進制中，<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 K}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>K</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle K}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2b76fce82a62ed5461908f0dc8f037de4e3686b0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.066ex; height:2.176ex;" alt="{\displaystyle K}"></span>的值為11。整數部分可以透過不斷取餘所得到，而小數部分可以透過不斷相乘並取整數的方法得到。 </p><p>例如：將<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 307{\frac {37}{121}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>307</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>37</mn> <mn>121</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 307{\frac {37}{121}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/921b1864c3a3fa1a1af76233a565580663d6b547" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.811ex; height:5.176ex;" alt="{\displaystyle 307{\frac {37}{121}}}"></span>轉為十一進制： </p><p><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 307=2\times 11^{2}+5\times 11^{1}+10\times 11^{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>307</mn> <mo>=</mo> <mn>2</mn> <mo>×</mo> <msup> <mn>11</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>5</mn> <mo>×</mo> <msup> <mn>11</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mn>10</mn> <mo>×</mo> <msup> <mn>11</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 307=2\times 11^{2}+5\times 11^{1}+10\times 11^{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1584dbc353279fb606ae3ebbd769eb11144db89d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:35.575ex; height:2.843ex;" alt="{\displaystyle 307=2\times 11^{2}+5\times 11^{1}+10\times 11^{0}}"></span>，故<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 \left(307\right)_{10}=\left(25A\right)_{11}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow> <mo>(</mo> <mn>307</mn> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mo>(</mo> <mrow> <mn>25</mn> <mi>A</mi> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left(307\right)_{10}=\left(25A\right)_{11}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ce23e788a904211d46cbd116fd8512d50026f892" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:18.025ex; height:3.009ex;" alt="{\displaystyle \left(307\right)_{10}=\left(25A\right)_{11}}"></span>。 </p><p>又<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 {\frac {37}{121}}\times 11=3+{\frac {4}{11}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>37</mn> <mn>121</mn> </mfrac> </mrow> <mo>×</mo> <mn>11</mn> <mo>=</mo> <mn>3</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>11</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {37}{121}}\times 11=3+{\frac {4}{11}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/687aae3b2c2b833ef383dc0c68b2607e17edd8d0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:19.751ex; height:5.176ex;" alt="{\displaystyle {\frac {37}{121}}\times 11=3+{\frac {4}{11}}}"></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 {\frac {4}{11}}\times 11=4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>11</mn> </mfrac> </mrow> <mo>×</mo> <mn>11</mn> <mo>=</mo> <mn>4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {4}{11}}\times 11=4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c56ee4b702234ef17a5e7b6e1d2f08945b8323ac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:12.587ex; height:5.176ex;" alt="{\displaystyle {\frac {4}{11}}\times 11=4}"></span>，故<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 \left({\frac {37}{121}}\right)_{10}=\left(0.34\right)_{11}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>37</mn> <mn>121</mn> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mo>(</mo> <mn>0.34</mn> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left({\frac {37}{121}}\right)_{10}=\left(0.34\right)_{11}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed142257cdcefc5ca01c023c9b011ae5262032a7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:20.539ex; height:6.176ex;" alt="{\displaystyle \left({\frac {37}{121}}\right)_{10}=\left(0.34\right)_{11}}"></span>。 </p><p>因此，<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 \left(307{\frac {37}{121}}\right)_{10}=\left(25A.34\right)_{11}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow> <mo>(</mo> <mrow> <mn>307</mn> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>37</mn> <mn>121</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mo>(</mo> <mrow> <mn>25</mn> <mi>A</mi> <mn>.34</mn> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left(307{\frac {37}{121}}\right)_{10}=\left(25A.34\right)_{11}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8886977e6869da5aa9408a3bdc0629b7d15c597d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:26.932ex; height:6.176ex;" alt="{\displaystyle \left(307{\frac {37}{121}}\right)_{10}=\left(25A.34\right)_{11}}"></span>。 </p> <div class="mw-heading mw-heading2"><h2 id="十一進制加法表"><span id=".E5.8D.81.E4.B8.80.E9.80.B2.E5.88.B6.E5.8A.A0.E6.B3.95.E8.A1.A8"></span>十一進制加法表</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&action=edit&section=2" title="编辑章节：十一進制加法表"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th>+</th> <th><b>1</b></th> <th><b>2</b></th> <th><b>3</b></th> <th><b>4</b></th> <th><b>5</b></th> <th><b>6</b></th> <th><b>7</b></th> <th><b>8</b></th> <th><b>9</b></th> <th><b>A</b></th> <th><b>10</b></th> <th><b>11</b></th> <th><b>12</b> </th></tr> <tr> <th><b>1</b> </th> <td>2</td> <td>3</td> <td>4</td> <td>5</td> <td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>A</td> <td>10</td> <td>11</td> <td>12</td> <td>13 </td></tr> <tr> <th><b>2</b> </th> <td>3</td> <td>4</td> <td>5</td> <td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>A</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14 </td></tr> <tr> <th><b>3</b> </th> <td>4</td> <td>5</td> <td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>A</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15 </td></tr> <tr> <th><b>4</b> </th> <td>5</td> <td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>A</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16 </td></tr> <tr> <th><b>5</b> </th> <td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>A</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17 </td></tr> <tr> <th><b>6</b> </th> <td>7</td> <td>8</td> <td>9</td> <td>A</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18 </td></tr> <tr> <th><b>7</b> </th> <td>8</td> <td>9</td> <td>A</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td> <td>19 </td></tr> <tr> <th><b>8</b> </th> <td>9</td> <td>A</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td> <td>19</td> <td>1A </td></tr> <tr> <th><b>9</b> </th> <td>A</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td> <td>19</td> <td>1A</td> <td>20 </td></tr> <tr> <th><b>A</b> </th> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td> <td>19</td> <td>1A</td> <td>20</td> <td>21 </td></tr> <tr> <th><b>10</b> </th> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td> <td>19</td> <td>1A</td> <td>20</td> <td>21</td> <td>22 </td></tr> <tr> <th><b>11</b> </th> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td> <td>19</td> <td>1A</td> <td>20</td> <td>21</td> <td>22</td> <td>23 </td></tr> <tr> <th><b>12</b> </th> <td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td> <td>19</td> <td>1A</td> <td>20</td> <td>21</td> <td>22</td> <td>23</td> <td>24 </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="十一進制乘法表"><span id=".E5.8D.81.E4.B8.80.E9.80.B2.E5.88.B6.E4.B9.98.E6.B3.95.E8.A1.A8"></span>十一進制乘法表</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&action=edit&section=3" title="编辑章节：十一進制乘法表"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th>X</th> <th><b>1</b></th> <th><b>2</b></th> <th><b>3</b></th> <th><b>4</b></th> <th><b>5</b></th> <th><b>6</b></th> <th><b>7</b></th> <th><b>8</b></th> <th><b>9</b></th> <th><b>A</b></th> <th><b>10</b></th> <th><b>11</b></th> <th><b>12</b> </th></tr> <tr> <th><b>1</b> </th> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5</td> <td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>A</td> <td>10</td> <td>11</td> <td>12 </td></tr> <tr> <th><b>2</b> </th> <td>2</td> <td>4</td> <td>6</td> <td>8</td> <td>A</td> <td>11</td> <td>13</td> <td>15</td> <td>17</td> <td>19</td> <td>20</td> <td>22</td> <td>24 </td></tr> <tr> <th><b>3</b> </th> <td>3</td> <td>6</td> <td>9</td> <td>11</td> <td>14</td> <td>17</td> <td>1A</td> <td>22</td> <td>25</td> <td>28</td> <td>30</td> <td>33</td> <td>36 </td></tr> <tr> <th><b>4</b> </th> <td>4</td> <td>8</td> <td>11</td> <td>15</td> <td>19</td> <td>22</td> <td>26</td> <td>2A</td> <td>33</td> <td>37</td> <td>40</td> <td>44</td> <td>48 </td></tr> <tr> <th><b>5</b> </th> <td>5</td> <td>A</td> <td>14</td> <td>19</td> <td>23</td> <td>28</td> <td>32</td> <td>37</td> <td>41</td> <td>46</td> <td>50</td> <td>55</td> <td>5A </td></tr> <tr> <th><b>6</b> </th> <td>6</td> <td>11</td> <td>17</td> <td>22</td> <td>28</td> <td>33</td> <td>39</td> <td>44</td> <td>4A</td> <td>55</td> <td>60</td> <td>66</td> <td>71 </td></tr> <tr> <th><b>7</b> </th> <td>7</td> <td>13</td> <td>1A</td> <td>26</td> <td>32</td> <td>39</td> <td>45</td> <td>51</td> <td>58</td> <td>64</td> <td>70</td> <td>77</td> <td>83 </td></tr> <tr> <th><b>8</b> </th> <td>8</td> <td>15</td> <td>22</td> <td>2A</td> <td>37</td> <td>44</td> <td>51</td> <td>59</td> <td>66</td> <td>73</td> <td>80</td> <td>88</td> <td>95 </td></tr> <tr> <th><b>9</b> </th> <td>9</td> <td>17</td> <td>25</td> <td>33</td> <td>41</td> <td>4A</td> <td>58</td> <td>66</td> <td>74</td> <td>82</td> <td>90</td> <td>99</td> <td>A7 </td></tr> <tr> <th><b>A</b> </th> <td>A</td> <td>19</td> <td>28</td> <td>37</td> <td>46</td> <td>55</td> <td>64</td> <td>73</td> <td>82</td> <td>91</td> <td>A0</td> <td>AA</td> <td>109 </td></tr> <tr> <th><b>10</b> </th> <td>10</td> <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>100</td> <td>110</td> <td>120 </td></tr> <tr> <th><b>11</b> </th> <td>11</td> <td>22</td> <td>33</td> <td>44</td> <td>55</td> <td>66</td> <td>77</td> <td>88</td> <td>99</td> <td>AA</td> <td>110</td> <td>121</td> <td>132 </td></tr> <tr> <th><b>12</b> </th> <td>12</td> <td>24</td> <td>36</td> <td>48</td> <td>5A</td> <td>71</td> <td>83</td> <td>95</td> <td>A7</td> <td>109</td> <td>120</td> <td>132</td> <td>144 </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="使用"><span id=".E4.BD.BF.E7.94.A8"></span>使用</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&action=edit&section=4" title="编辑章节：使用"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="虛構作品"><span id=".E8.99.9B.E6.A7.8B.E4.BD.9C.E5.93.81"></span>虛構作品</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&action=edit&section=5" title="编辑章节：虛構作品"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%E7%BE%8E%E5%9C%8B" class="mw-redirect" title="美國">美國</a><a href="/wiki/%E7%A7%91%E5%B9%BB%E5%B0%8F%E8%AA%AA" class="mw-redirect" title="科幻小說">科幻小說</a>作家<a href="/wiki/%E5%8D%A1%E5%B0%94%C2%B7%E8%90%A8%E6%A0%B9" title="卡尔·萨根">卡爾·薩根</a>的小說《<a href="/wiki/%E6%8E%A5%E8%A7%B8%E6%9C%AA%E4%BE%86_(%E5%B0%8F%E8%AA%AA)" title="接觸未來 (小說)">接觸未來</a>》中提到<a href="/wiki/%E5%9C%93%E5%91%A8%E7%8E%87" title="圓周率">圓周率</a>隱含的訊息在十一進制中最為明顯<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>。美國科幻電視劇《<a href="/wiki/%E5%B7%B4%E6%AF%94%E4%BC%A6%E4%BA%94%E5%8F%B7" title="巴比伦五号">巴比倫五號</a>》中的外星種族<span class="ilh-all" data-orig-title="Minbari" data-lang-code="en" data-lang-name="英语" data-foreign-title="Minbari"><span class="ilh-page"><a href="/w/index.php?title=Minbari&action=edit&redlink=1" class="new" title="Minbari（页面不存在）">Minbari</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/Minbari" class="extiw" title="en:Minbari"><span lang="en" dir="auto">Minbari</span></a></span>）</span></span>人使用的數字系統即為十一進制。 </p> <div class="mw-heading mw-heading3"><h3 id="ISBN">ISBN</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&action=edit&section=6" title="编辑章节：ISBN"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%E5%9B%BD%E9%99%85%E6%A0%87%E5%87%86%E4%B9%A6%E5%8F%B7" title="国际标准书号">ISBN-10</a>的<a href="/wiki/%E6%A0%A1%E9%AA%8C%E7%A0%81" title="校验码">校验码</a>由原始碼進行一系列運算後<a href="/wiki/%E6%A8%A1%E7%AE%97%E6%95%B8" title="模算數">mod</a> 11所得到。由於校验码會產生出11種結果，ISBN選擇使用「X」作為除了數字0～9以外的第十一個符號，理由是X在<a href="/wiki/%E7%BE%85%E9%A6%AC%E6%95%B8%E5%AD%97" class="mw-redirect" title="羅馬數字">羅馬數字</a>中代表的值即是10。新版ISBN-13的校驗碼則使用mod 10，因此不再需要額外的符號<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>。 </p> <div class="mw-heading mw-heading3"><h3 id="中华人民共和国身份證"><span id=".E4.B8.AD.E5.8D.8E.E4.BA.BA.E6.B0.91.E5.85.B1.E5.92.8C.E5.9B.BD.E8.BA.AB.E4.BB.BD.E8.AD.89"></span>中华人民共和国身份證</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&action=edit&section=7" title="编辑章节：中华人民共和国身份證"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%E4%B8%AD%E5%8D%8E%E4%BA%BA%E6%B0%91%E5%85%B1%E5%92%8C%E5%9B%BD%E5%85%AC%E6%B0%91%E8%BA%AB%E4%BB%BD%E5%8F%B7%E7%A0%81" class="mw-redirect" title="中华人民共和国公民身份号码">中华人民共和国公民身份号码</a>的最後一碼為<a href="/wiki/%E6%A0%A1%E9%AA%8C%E7%A0%81" title="校验码">校驗碼</a>，且同樣使用<a href="/wiki/%E6%A8%A1%E7%AE%97%E6%95%B8" title="模算數">mod</a> 11得到，並以「X」代表取餘得到的值為10的情況<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>。 </p> <div class="mw-heading mw-heading2"><h2 id="參考資料"><span id=".E5.8F.83.E8.80.83.E8.B3.87.E6.96.99"></span>參考資料</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&action=edit&section=8" title="编辑章节：參考資料"><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 class="citation web"><a rel="nofollow" class="external text" href="http://kasmana.people.cofc.edu/MATHFICT/mf55-spoiler.html">How Contact by Carl Sagan Ends</a>. <span class="reference-accessdate"> [<span class="nowrap">2019-09-30</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20190920173821/http://kasmana.people.cofc.edu/MATHFICT/mf55-spoiler.html">存档</a>于2019-09-20）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&rft.btitle=How+Contact+by+Carl+Sagan+Ends&rft.genre=unknown&rft_id=http%3A%2F%2Fkasmana.people.cofc.edu%2FMATHFICT%2Fmf55-spoiler.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 class="citation web"><a rel="nofollow" class="external text" href="https://www.isbn-international.org/sites/default/files/ISBN%20users%27%20Manual%202017-simplified%20chinese%20%28Chinese%20translation%20of%20seventh%20edition%29.pdf">国际标准书号系统 - ISBN 用户手册</a> <span style="font-size:85%;">(PDF)</span>. <span class="reference-accessdate"> [<span class="nowrap">2019-09-30</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20220308033355/https://www.isbn-international.org/sites/default/files/ISBN%20users%27%20Manual%202017-simplified%20chinese%20%28Chinese%20translation%20of%20seventh%20edition%29.pdf">存档</a> <span style="font-size:85%;">(PDF)</span>于2022-03-08）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&rft.btitle=%E5%9B%BD%E9%99%85%E6%A0%87%E5%87%86%E4%B9%A6%E5%8F%B7%E7%B3%BB%E7%BB%9F+-+ISBN+%E7%94%A8%E6%88%B7%E6%89%8B%E5%86%8C&rft.genre=unknown&rft_id=https%3A%2F%2Fwww.isbn-international.org%2Fsites%2Fdefault%2Ffiles%2FISBN%2520users%2527%2520Manual%25202017-simplified%2520chinese%2520%2528Chinese%2520translation%2520of%2520seventh%2520edition%2529.pdf&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" 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"><a href="https://zh.wikisource.org/wiki/GB_11643-1999_%E5%85%AC%E6%B0%91%E8%BA%AB%E4%BB%BD%E5%8F%B7%E7%A0%81" class="extiw" title="s:GB 11643-1999 公民身份号码">維基文庫：GB 11643-1999 公民身份号码</a></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="外部鏈結"><span id=".E5.A4.96.E9.83.A8.E9.8F.88.E7.B5.90"></span>外部鏈結</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E5%8D%81%E4%B8%80%E8%BF%9B%E5%88%B6&action=edit&section=9" title="编辑章节：外部鏈結"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://archive.org/details/Base11">The First 1000 Counting Numbers in Base 11</a>- Hamid N. Yeganeh</li></ul> <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 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.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 class="mw-selflink selflink">十一进制</a></li> <li><a href="/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="十二进制">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=十一进制&oldid=71010062">https://zh.wikipedia.org/w/index.php?title=十一进制&oldid=71010062</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></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">隐藏分类：<ul><li><a 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