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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-常見進位制及其用途" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#常見進位制及其用途"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>常見進位制及其用途</span> </div> </a> <ul id="toc-常見進位制及其用途-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-参考文獻" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#参考文獻"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>参考文獻</span> </div> </a> <ul id="toc-参考文獻-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-參見" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#參見"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>參見</span> </div> </a> <ul id="toc-參見-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-外部連結" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#外部連結"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>外部連結</span> </div> </a> <ul id="toc-外部連結-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"><span class="mw-page-title-main">进位制</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。33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-33" 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">33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/%D8%AF%D9%84%D8%A7%D9%84%D8%A9_%D9%85%D9%88%D8%B6%D8%B9%D9%8A%D8%A9" title="دلالة موضعية – 阿拉伯语" lang="ar" hreflang="ar" data-title="دلالة موضعية" 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-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Notaci%C3%B3n_posicional" title="Notación posicional – 阿斯图里亚斯语" lang="ast" hreflang="ast" data-title="Notación posicional" data-language-autonym="Asturianu" data-language-local-name="阿斯图里亚斯语" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Notaci%C3%B3_posicional" title="Notació posicional – 加泰罗尼亚语" lang="ca" hreflang="ca" data-title="Notació posicional" 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-de badge-Q17437798 badge-goodarticle mw-list-item" title="优良条目"><a href="https://de.wikipedia.org/wiki/Stellenwertsystem" title="Stellenwertsystem – 德语" lang="de" hreflang="de" data-title="Stellenwertsystem" data-language-autonym="Deutsch" data-language-local-name="德语" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Positional_notation" title="Positional notation – 英语" lang="en" hreflang="en" data-title="Positional notation" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Notaci%C3%B3n_posicional" title="Notación posicional – 西班牙语" lang="es" hreflang="es" data-title="Notación posicional" 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-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Kokapen-notazio" title="Kokapen-notazio – 巴斯克语" lang="eu" hreflang="eu" data-title="Kokapen-notazio" 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%A7%D8%B1%D8%B2%D8%B4_%D9%85%DA%A9%D8%A7%D9%86%DB%8C" title="ارزش مکانی – 波斯语" lang="fa" hreflang="fa" data-title="ارزش مکانی" 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/Paikkamerkint%C3%A4" title="Paikkamerkintä – 芬兰语" lang="fi" hreflang="fi" data-title="Paikkamerkintä" 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/Notation_positionnelle" title="Notation positionnelle – 法语" lang="fr" hreflang="fr" data-title="Notation positionnelle" data-language-autonym="Français" data-language-local-name="法语" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Notaci%C3%B3n_posicional" title="Notación posicional – 加利西亚语" lang="gl" hreflang="gl" data-title="Notación posicional" data-language-autonym="Galego" data-language-local-name="加利西亚语" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BE%E0%A4%A8%E0%A4%BF%E0%A4%95_%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="स्थानिक मान – 印地语" lang="hi" hreflang="hi" data-title="स्थानिक मान" data-language-autonym="हिन्दी" data-language-local-name="印地语" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Helyi%C3%A9rt%C3%A9k" title="Helyiérték – 匈牙利语" lang="hu" hreflang="hu" data-title="Helyiérték" 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-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Notasi_posisional" title="Notasi posisional – 印度尼西亚语" lang="id" hreflang="id" data-title="Notasi posisional" data-language-autonym="Bahasa Indonesia" data-language-local-name="印度尼西亚语" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Notazione_posizionale" title="Notazione posizionale – 意大利语" lang="it" hreflang="it" data-title="Notazione posizionale" 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/%E4%BD%8D%E5%8F%96%E3%82%8A%E8%A8%98%E6%95%B0%E6%B3%95" title="位取り記数法 – 日语" lang="ja" hreflang="ja" data-title="位取り記数法" 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-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9E%E1%83%9D%E1%83%96%E1%83%98%E1%83%AA%E1%83%98%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%99%E1%83%9D%E1%83%93%E1%83%98" title="პოზიციური კოდი – 格鲁吉亚语" lang="ka" hreflang="ka" data-title="პოზიციური კოდი" data-language-autonym="ქართული" data-language-local-name="格鲁吉亚语" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9C%84%EC%B9%98_%EA%B8%B0%EC%88%98%EB%B2%95" title="위치 기수법 – 韩语" lang="ko" hreflang="ko" data-title="위치 기수법" data-language-autonym="한국어" data-language-local-name="韩语" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Notatio_positionalis" title="Notatio positionalis – 拉丁语" lang="la" hreflang="la" data-title="Notatio positionalis" data-language-autonym="Latina" data-language-local-name="拉丁语" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Pozicion%C4%81ls_skait%C4%BCu_pieraksts" title="Pozicionāls skaitļu pieraksts – 拉脱维亚语" lang="lv" hreflang="lv" data-title="Pozicionāls skaitļu pieraksts" 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-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Positiestelsel" title="Positiestelsel – 荷兰语" lang="nl" hreflang="nl" data-title="Positiestelsel" 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-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Nota%C3%A7%C3%A3o_posicional" title="Notação posicional – 葡萄牙语" lang="pt" hreflang="pt" data-title="Notação posicional" 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-ru badge-Q70894304 mw-list-item" title=""><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%BE%D0%B7%D0%B8%D1%86%D0%B8%D0%BE%D0%BD%D0%BD%D0%B0%D1%8F_%D0%BD%D0%BE%D1%82%D0%B0%D1%86%D0%B8%D1%8F" title="Позиционная нотация – 俄语" lang="ru" hreflang="ru" data-title="Позиционная нотация" 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/Place_value" title="Place value – Simple English" lang="en-simple" hreflang="en-simple" data-title="Place value" 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-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Tsika_yezvinzvimbo_zvenhamba" title="Tsika yezvinzvimbo zvenhamba – 绍纳语" lang="sn" hreflang="sn" data-title="Tsika yezvinzvimbo zvenhamba" data-language-autonym="ChiShona" data-language-local-name="绍纳语" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Poziciona_notacija" title="Poziciona notacija – 塞尔维亚语" lang="sr" hreflang="sr" data-title="Poziciona notacija" data-language-autonym="Српски / srpski" data-language-local-name="塞尔维亚语" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Positionssystem" title="Positionssystem – 瑞典语" lang="sv" hreflang="sv" data-title="Positionssystem" 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%87%E0%AE%9F%E0%AE%9E%E0%AF%8D%E0%AE%9A%E0%AE%BE%E0%AE%B0%E0%AF%8D_%E0%AE%95%E0%AF%81%E0%AE%B1%E0%AE%BF%E0%AE%AF%E0%AF%80%E0%AE%9F%E0%AF%81" title="இடஞ்சார் குறியீடு – 泰米尔语" lang="ta" hreflang="ta" data-title="இடஞ்சார் குறியீடு" 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-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Basamak_(matematik)" title="Basamak (matematik) – 土耳其语" lang="tr" hreflang="tr" data-title="Basamak (matematik)" 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 badge-Q70893996 mw-list-item" title=""><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%BE%D0%B7%D0%B8%D1%86%D1%96%D0%B9%D0%BD%D0%B0_%D0%BD%D0%BE%D1%82%D0%B0%D1%86%D1%96%D1%8F" title="Позиційна нотація – 乌克兰语" lang="uk" hreflang="uk" data-title="Позиційна нотація" 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-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D8%AD%D9%84%DB%8C_%D8%AA%D8%B1%D9%82%DB%8C%D9%85" title="محلی ترقیم – 乌尔都语" lang="ur" hreflang="ur" data-title="محلی ترقیم" data-language-autonym="اردو" data-language-local-name="乌尔都语" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/%C5%AAi-t%C3%AC_k%C3%AC-si%C3%A0u-hoat" title="Ūi-tì kì-siàu-hoat – 闽南语" lang="nan" hreflang="nan" data-title="Ūi-tì kì-siàu-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" 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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"><div id="noteTA-41769e2b" class="noteTA"><div class="noteTA-group"><div data-noteta-group-source="module" data-noteta-group="IT"></div><div data-noteta-group-source="module" data-noteta-group="Electronics"></div> <p class="mw-empty-elt"> </p><p><br /> </p> <div data-noteta-group-source="template" data-noteta-group="Physics"></div> <p class="mw-empty-elt"> </p> <div data-noteta-group-source="template" data-noteta-group="Chemistry"></div> <p class="mw-empty-elt"> </p><p class="mw-empty-elt"> </p><p class="mw-empty-elt"> </p><p class="mw-empty-elt"> </p><p><br /> </p> <div data-noteta-group-source="template" data-noteta-group="Lifesciences"></div> <p class="mw-empty-elt"> </p> <div data-noteta-group-source="template" data-noteta-group="Medicine"></div> <p class="mw-empty-elt"> </p><p class="mw-empty-elt"> </p><p class="mw-empty-elt"> </p> <div data-noteta-group-source="template" data-noteta-group="Unit"></div> <p class="mw-empty-elt"> </p><p class="mw-empty-elt"> </p> <div data-noteta-group-source="template" data-noteta-group="Ecology"></div> <p class="mw-empty-elt"> </p> <div data-noteta-group-source="template" data-noteta-group="Astronomy"></div> <p class="mw-empty-elt"> </p> <div data-noteta-group-source="template" data-noteta-group="Earthquake"></div> <p class="mw-empty-elt"> </p> </div><div class="noteTA-local"><div data-noteta-code="zh-hans:进制;zh-hant:進制;"></div><div data-noteta-code="zh-hans:进位;zh-hant:進位;"></div></div></div> <p><b>进位制</b><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>（carry system）又称<b>进制</b><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><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>、<b>進位系統</b><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>，是一种<a href="/wiki/%E8%AE%B0%E6%95%B0%E7%B3%BB%E7%BB%9F" title="记数系统">记数制度</a>、系統或方法；利用这种“<a href="/wiki/%E8%AE%B0%E6%95%B0%E6%B3%95" class="mw-redirect" title="记数法">记数法</a>”，可以使用有限种的“<a href="/wiki/%E6%95%B8%E5%AD%97" title="數字">數字</a>符号”来表示所有的数值。<b>進位</b>（carry）則是傳送<a href="/w/index.php?title=%E9%80%B2%E4%BD%8D%E6%95%B8&action=edit&redlink=1" class="new" title="進位數（页面不存在）">進位數</a>之動作或過程<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>進位制，「進」表示在一個位值的數字達到基數後，將其重置為零並使高一位（位值）的數字加一。「位」代表位值（place value）。 </p><p>进位制的其他名稱：<b>位置记法</b><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>（positional notation）、<b>數字命位法</b><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup>、<b>定位記法</b>、<b>进位记数法</b>、<b>位值记数法</b>（place-value notation）、<b>位置数值系统</b>（positional numeral system）。 </p><p>一种进位制中可以使用的數字符号的数目，称为这种进位制的<a href="/wiki/%E5%9F%BA%E6%95%B8_(%E9%80%B2%E4%BD%8D%E8%A8%98%E6%95%B8%E6%B3%95)" class="mw-redirect" title="基數 (進位記數法)">基数</a>或<a href="/wiki/%E5%BA%95%E6%95%B0_(%E8%BF%9B%E5%88%B6)" title="底数 (进制)">底数</a>。若一个进位制的基数为 <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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span>，即可称之为 <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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span>进位制，简称 <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 n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span>进制。现在最常用的进位制是<a href="/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6" title="十进制">十进制</a>，这种进位制通常使用10个<a href="/wiki/%E9%98%BF%E6%8B%89%E4%BC%AF%E6%95%B8%E5%AD%97" class="mw-redirect" title="阿拉伯數字">阿拉伯數字</a>（即 0-9 ）进行记数。<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </p><p>我们可以用不同的进位制来表示同一个数。比如：<a href="/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6" title="十进制">十进数</a><a href="/wiki/57" title="57">57</a><sub><a href="/wiki/%E5%8D%81%E9%80%B2%E5%88%B6" class="mw-redirect" title="十進制">(10)</a></sub>，可以用<a href="/wiki/%E4%BA%8C%E8%BF%9B%E5%88%B6" title="二进制">二进制</a>表示为<a href="/wiki/57" title="57">111001</a><sub><a href="/wiki/%E4%BA%8C%E9%80%B2%E5%88%B6" class="mw-redirect" title="二進制">(2)</a></sub>，也可以用<a href="/wiki/%E4%BA%94%E9%80%B2%E5%88%B6" title="五進制">五进制</a>表示为<a href="/wiki/57" title="57">212</a><sub><a href="/wiki/%E4%BA%94%E9%80%B2%E5%88%B6" title="五進制">(5)</a></sub>，同时也可以用<a href="/wiki/%E5%85%AB%E8%BF%9B%E5%88%B6" title="八进制">八进制</a>表示为<a href="/wiki/57" title="57">71</a><sub><a href="/wiki/%E5%85%AB%E9%80%B2%E5%88%B6" class="mw-redirect" title="八進制">(8)</a></sub>，可用<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>表示為<a href="/wiki/57" title="57">49</a><sub><a href="/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="十二进制">(12)</a></sub>，亦可用<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>表示为<a href="/wiki/57" title="57">39</a><sub><a href="/wiki/%E5%8D%81%E5%85%AD%E9%80%B2%E5%88%B6" class="mw-redirect" title="十六進制">(16)</a></sub>，它们所代表的数值都是一样的。 </p><p>在10进制中有10个數字（0 - 9），比如： </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 2506=2\times 10^{3}+5\times 10^{2}+0\times 10^{1}+6\times 10^{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2506</mn> <mo>=</mo> <mn>2</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>+</mo> <mn>5</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>0</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mn>6</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2506=2\times 10^{3}+5\times 10^{2}+0\times 10^{1}+6\times 10^{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c6617450f44e84f579d7ac171b8368669cf8e04b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:45.797ex; height:2.843ex;" alt="{\displaystyle 2506=2\times 10^{3}+5\times 10^{2}+0\times 10^{1}+6\times 10^{0}}"></span>.</dd></dl> <p>在16进制中有16个數字（0–9 和 A–F），比如： </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 171B=1\times 16^{3}+7\times 16^{2}+1\times 16^{1}+B\times 16^{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>171</mn> <mi>B</mi> <mo>=</mo> <mn>1</mn> <mo>×</mo> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>+</mo> <mn>7</mn> <mo>×</mo> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>1</mn> <mo>×</mo> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mi>B</mi> <mo>×</mo> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 171B=1\times 16^{3}+7\times 16^{2}+1\times 16^{1}+B\times 16^{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7f9714f05ac7223d8d77735f7748e74ab0e5f288" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:47.001ex; height:2.843ex;" alt="{\displaystyle 171B=1\times 16^{3}+7\times 16^{2}+1\times 16^{1}+B\times 16^{0}}"></span> (16進制中A代表10,B代表11,C代表12,D代表13,E代表14,F代表15）</dd></dl> <p>一般说来，<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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span>进制有<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 b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span>个數字，如果<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 a_{3},a_{2},a_{1},a_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{3},a_{2},a_{1},a_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/210d6f4fd2987a7a7fa380e6ec32c32146fb5217" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.238ex; height:2.009ex;" alt="{\displaystyle a_{3},a_{2},a_{1},a_{0}}"></span>是其中四个數字，那么就有 </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 a_{3}a_{2}a_{1}a_{0}=a_{3}\times b^{3}+a_{2}\times b^{2}+a_{1}\times b^{1}+a_{0}\times b^{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>×</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>×</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>×</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>×</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{3}a_{2}a_{1}a_{0}=a_{3}\times b^{3}+a_{2}\times b^{2}+a_{1}\times b^{1}+a_{0}\times b^{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/783b50aec4601646f52ce60f279ef65907b9f781" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:49.461ex; height:3.009ex;" alt="{\displaystyle a_{3}a_{2}a_{1}a_{0}=a_{3}\times b^{3}+a_{2}\times b^{2}+a_{1}\times b^{1}+a_{0}\times b^{0}}"></span> (注意，<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 a_{3}a_{2}a_{1}a_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{3}a_{2}a_{1}a_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/894bf4e81c14ae3394f7b5b054bb8d3352f1daa7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.136ex; height:2.009ex;" alt="{\displaystyle a_{3}a_{2}a_{1}a_{0}}"></span> 表示一个數字序列, 而不是數字的<a href="/wiki/%E4%B9%98%E6%B3%95" title="乘法">相乘</a>)</dd></dl> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="常見進位制及其用途"><span id=".E5.B8.B8.E8.A6.8B.E9.80.B2.E4.BD.8D.E5.88.B6.E5.8F.8A.E5.85.B6.E7.94.A8.E9.80.94"></span>常見進位制及其用途</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E8%BF%9B%E4%BD%8D%E5%88%B6&action=edit&section=1" title="编辑章节：常見進位制及其用途"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable sortable"> <tbody><tr> <th>底/基數 </th> <th>名稱 </th> <th>描述 </th></tr> <tr> <td><a href="/wiki/10" title="10">10</a> </td> <td><a href="/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6" title="十进制">十进制</a> </td> <td>世界上最常見的算術運算位進制系統，它是<a href="/wiki/2" title="2">2</a>和<a href="/wiki/5" title="5">5</a>的<a href="/wiki/%E4%B9%98%E7%A7%AF" class="mw-redirect" title="乘积">乘積</a>，用於大多數機械計數器。其十位數字為 “0-9”。 </td></tr> <tr> <td><a href="/wiki/12" title="12">12</a> </td> <td><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> </td> <td>因為有多個因數如2，<a href="/wiki/3" title="3">3</a>，<a href="/wiki/4" title="4">4</a>和<a href="/wiki/6" title="6">6</a>的易於整除性，它傳統上用以表示數量和總數，如一打即為十二個單位。十二位數字為“0-9”，接著是“A”和“B”。 </td></tr> <tr> <td><a href="/wiki/20" title="20">20</a> </td> <td><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> </td> <td>因為有多個因數如2，<a href="/wiki/4" title="4">4</a>，<a href="/wiki/5" title="5">5</a>和<a href="/wiki/10" title="10">10</a>的易於整除性，在幾種傳統文化中的數字系統，仍然被用於計數。二十位數字為“0-9”，接著是“A-J”。 </td></tr> <tr> <td><a href="/wiki/2" title="2">2</a> </td> <td><a href="/wiki/%E4%BA%8C%E8%BF%9B%E5%88%B6" title="二进制">二进制</a> </td> <td>幾乎所有的<a href="/wiki/%E7%94%B5%E5%AD%90%E8%AE%A1%E7%AE%97%E6%9C%BA" title="电子计算机">电子計算機</a>內部都使用二進位制，分別為“0”和“1”表示“關”和“開”。用於大多數<a href="/wiki/%E7%94%B5%E5%AD%90%E8%AE%A1%E6%95%B0%E5%99%A8" class="mw-redirect" title="电子计数器">電子計數器</a>。 </td></tr> <tr> <td><a href="/wiki/16" title="16">16</a> </td> <td><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> </td> <td>經常用於計算機領域，2到4次<a href="/wiki/%E5%86%AA" title="冪">冪</a>。十六位數字為“0-9”，接著是“A-F”。 </td></tr> <tr> <td><a href="/wiki/8" title="8">8</a> </td> <td><a href="/wiki/%E5%85%AB%E8%BF%9B%E5%88%B6" title="八进制">八进制</a> </td> <td>偶爾用於計算機領域，2到3次冪。八位數字為“0-7”。 </td></tr> <tr> <td><a href="/wiki/60" title="60">60</a> </td> <td><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> </td> <td>起源於古代蘇美爾並傳給巴比倫人。六十成為3,4和5的乘積。今天用作現代<a href="/wiki/%E5%9C%93%E5%BD%A2" class="mw-redirect" title="圓形">圓形</a><a href="/wiki/%E5%9D%90%E6%A8%99%E7%B3%BB" title="坐標系">坐標系</a>（度，分，秒）和<a href="/wiki/%E6%99%82%E9%96%93" class="mw-redirect" title="時間">時間</a><a href="/wiki/%E6%B8%AC%E9%87%8F" class="mw-disambig" title="測量">測量</a>（小時，分鐘和秒）的基礎。 </td></tr> </tbody></table> <p>八进位制和十六进位制系统通常用于计算机領域，因为它们可方便當作二进位制的简写。十六进位制数字对应于四位二进位制数字的序列，因为十六是二的四次方; 例如，十六进位制 78<sub>16</sub> 是二进制 1111000<sub>2</sub>。八进位制数和二进位制的数字序列之间也有类似关系，因为八是二的立方。底數通常是<a href="/wiki/%E8%87%AA%E7%84%B6%E6%95%B0" title="自然数">自然数</a>。然而，其它位進制系统也是可能的。<a href="/wiki/%E9%BB%84%E9%87%91%E8%BF%9B%E5%88%B6" title="黄金进制">黄金比率底數</a>（其底为非整数代数）和负底數（其底为负数）。 </p> <div class="mw-heading mw-heading2"><h2 id="参考文獻"><span id=".E5.8F.82.E8.80.83.E6.96.87.E7.8D.BB"></span>参考文獻</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E8%BF%9B%E4%BD%8D%E5%88%B6&action=edit&section=2" title="编辑章节：参考文獻"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <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="https://terms.naer.edu.tw/detail/09d5f8a74269a6c75c87d98e127a8088">十進位制</a>. 樂詞網. <a href="/wiki/%E5%9C%8B%E5%AE%B6%E6%95%99%E8%82%B2%E7%A0%94%E7%A9%B6%E9%99%A2" title="國家教育研究院">國家教育研究院</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.atitle=%E5%8D%81%E9%80%B2%E4%BD%8D%E5%88%B6&rft.genre=unknown&rft.jtitle=%E6%A8%82%E8%A9%9E%E7%B6%B2&rft_id=https%3A%2F%2Fterms.naer.edu.tw%2Fdetail%2F09d5f8a74269a6c75c87d98e127a8088&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span> <span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="中文">（繁體中文）</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://terms.naer.edu.tw/detail/79a86f13bf0d47aa1de46b168524d83d">二進制</a>. 樂詞網. <a href="/wiki/%E5%9C%8B%E5%AE%B6%E6%95%99%E8%82%B2%E7%A0%94%E7%A9%B6%E9%99%A2" title="國家教育研究院">國家教育研究院</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.atitle=%E4%BA%8C%E9%80%B2%E5%88%B6&rft.genre=unknown&rft.jtitle=%E6%A8%82%E8%A9%9E%E7%B6%B2&rft_id=https%3A%2F%2Fterms.naer.edu.tw%2Fdetail%2F79a86f13bf0d47aa1de46b168524d83d&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span> <span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="中文">（繁體中文）</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 class="citation web"><a rel="nofollow" class="external text" href="https://www.termonline.cn/wordDetail?subject=4fd1a1b626b111ee8685b068e6519520&base=1">二进制</a>. <a href="/wiki/%E6%9C%AF%E8%AF%AD%E5%9C%A8%E7%BA%BF" title="术语在线">术语在线</a>. <a href="/wiki/%E5%85%A8%E5%9B%BD%E7%A7%91%E5%AD%A6%E6%8A%80%E6%9C%AF%E5%90%8D%E8%AF%8D%E5%AE%A1%E5%AE%9A%E5%A7%94%E5%91%98%E4%BC%9A" title="全国科学技术名词审定委员会">全国科学技术名词审定委员会</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.atitle=%E4%BA%8C%E8%BF%9B%E5%88%B6&rft.genre=unknown&rft.jtitle=%E6%9C%AF%E8%AF%AD%E5%9C%A8-%7B%7D-%E7%BA%BF&rft_id=https%3A%2F%2Fwww.termonline.cn%2FwordDetail%3Fsubject%3D4fd1a1b626b111ee8685b068e6519520%26base%3D1&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span> <span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="中文">（简体中文）</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="https://terms.naer.edu.tw/detail/b8f710a1179510abb4ebf110afa4daea">進位系統</a>. 樂詞網. <a href="/wiki/%E5%9C%8B%E5%AE%B6%E6%95%99%E8%82%B2%E7%A0%94%E7%A9%B6%E9%99%A2" title="國家教育研究院">國家教育研究院</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.atitle=%E9%80%B2%E4%BD%8D%E7%B3%BB%E7%B5%B1&rft.genre=unknown&rft.jtitle=%E6%A8%82%E8%A9%9E%E7%B6%B2&rft_id=https%3A%2F%2Fterms.naer.edu.tw%2Fdetail%2Fb8f710a1179510abb4ebf110afa4daea&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span> <span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="中文">（繁體中文）</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="https://terms.naer.edu.tw/detail/6e05bf88a7edb122f6afabde591fe327">進位</a>. 樂詞網. <a href="/wiki/%E5%9C%8B%E5%AE%B6%E6%95%99%E8%82%B2%E7%A0%94%E7%A9%B6%E9%99%A2" title="國家教育研究院">國家教育研究院</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.atitle=%E9%80%B2%E4%BD%8D&rft.genre=unknown&rft.jtitle=%E6%A8%82%E8%A9%9E%E7%B6%B2&rft_id=https%3A%2F%2Fterms.naer.edu.tw%2Fdetail%2F6e05bf88a7edb122f6afabde591fe327&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span> <span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="中文">（繁體中文）</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 rel="nofollow" class="external text" href="https://terms.naer.edu.tw/detail/1596ab2bfa290d991bac63099bf1d616">位置记法位</a>. 樂詞網. <a href="/wiki/%E5%9C%8B%E5%AE%B6%E6%95%99%E8%82%B2%E7%A0%94%E7%A9%B6%E9%99%A2" title="國家教育研究院">國家教育研究院</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.atitle=%E4%BD%8D%E7%BD%AE%E8%AE%B0%E6%B3%95%E4%BD%8D&rft.genre=unknown&rft.jtitle=%E6%A8%82%E8%A9%9E%E7%B6%B2&rft_id=https%3A%2F%2Fterms.naer.edu.tw%2Fdetail%2F1596ab2bfa290d991bac63099bf1d616&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span> <span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="中文">（繁體中文）</span> </span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://terms.naer.edu.tw/detail/2315ecbaece0313cf362e02e68376cc6">數字命位法</a>. 樂詞網. <a href="/wiki/%E5%9C%8B%E5%AE%B6%E6%95%99%E8%82%B2%E7%A0%94%E7%A9%B6%E9%99%A2" title="國家教育研究院">國家教育研究院</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.atitle=%E6%95%B8%E5%AD%97%E5%91%BD%E4%BD%8D%E6%B3%95&rft.genre=unknown&rft.jtitle=%E6%A8%82%E8%A9%9E%E7%B6%B2&rft_id=https%3A%2F%2Fterms.naer.edu.tw%2Fdetail%2F2315ecbaece0313cf362e02e68376cc6&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span> <span style="font-family: sans-serif; cursor: default; color:var(--color-subtle, #54595d); font-size: 0.8em; bottom: 0.1em; font-weight: bold;" title="中文">（繁體中文）</span> </span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><cite class="citation web">张彦;梁清华. <a rel="nofollow" class="external text" href="http://mall.cnki.net/magazine/Article/ZXSZ200812031.htm">浅谈进位制</a>. 《中学数学杂志》2008年第12期. <span class="reference-accessdate"> [<span class="nowrap">2012-12-29</span>]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20140714230416/http://mall.cnki.net/magazine/Article/ZXSZ200812031.htm">存档</a>于2014-07-14）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.au=%E5%BC%A0%E5%BD%A6%3B%E6%A2%81%E6%B8%85%E5%8D%8E&rft.btitle=%E6%B5%85%E8%B0%88%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.genre=unknown&rft.pub=%E3%80%8A%E4%B8%AD%E5%AD%A6%E6%95%B0%E5%AD%A6%E6%9D%82%E5%BF%97%E3%80%8B2008%E5%B9%B4%E7%AC%AC12%E6%9C%9F&rft_id=http%3A%2F%2Fmall.cnki.net%2Fmagazine%2FArticle%2FZXSZ200812031.htm&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol> <ul><li><cite class="citation web">O'Connor, John; Robertson, Edmund. <a rel="nofollow" class="external text" href="http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Babylonian_numerals.html">Babylonian Numerals</a>. December 2000 <span class="reference-accessdate"> [<span class="nowrap">21 August</span> 2010]</span>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20140911192557/http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Babylonian_numerals.html">存档</a>于2014-09-11）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.au=Robertson%2C+Edmund&rft.aufirst=John&rft.aulast=O%27Connor&rft.btitle=Babylonian+Numerals&rft.date=2000-12&rft.genre=unknown&rft_id=http%3A%2F%2Fwww-groups.dcs.st-and.ac.uk%2F~history%2FHistTopics%2FBabylonian_numerals.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation journal">Kadvany, John. Positional Value and Linguistic Recursion. Journal of Indian Philosophy. December 2007.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.atitle=Positional+Value+and+Linguistic+Recursion&rft.aufirst=John&rft.aulast=Kadvany&rft.date=2007-12&rft.genre=article&rft.jtitle=Journal+of+Indian+Philosophy&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book"><a href="/wiki/Donald_Knuth" class="mw-redirect" title="Donald Knuth">Knuth, Donald</a>. The art of Computer Programming <b>2</b>. Addison-Wesley. 1997: 195–213. <a href="/wiki/Special:%E7%BD%91%E7%BB%9C%E4%B9%A6%E6%BA%90/0-201-89684-2" title="Special:网络书源/0-201-89684-2"><span title="国际标准书号">ISBN</span> 0-201-89684-2</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.aufirst=Donald&rft.aulast=Knuth&rft.btitle=The+art+of+Computer+Programming&rft.date=1997&rft.genre=book&rft.isbn=0-201-89684-2&rft.pages=195-213&rft.pub=Addison-Wesley&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book">Ifrah, George. <a rel="nofollow" class="external text" href="https://archive.org/details/universalhistory0000ifra">The Universal History of Numbers: From Prehistory to the Invention of the Computer</a>. Wiley. 2000. <a href="/wiki/Special:%E7%BD%91%E7%BB%9C%E4%B9%A6%E6%BA%90/0-471-37568-3" title="Special:网络书源/0-471-37568-3"><span title="国际标准书号">ISBN</span> 0-471-37568-3</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.aufirst=George&rft.aulast=Ifrah&rft.btitle=The+Universal+History+of+Numbers%3A+From+Prehistory+to+the+Invention+of+the+Computer&rft.date=2000&rft.genre=book&rft.isbn=0-471-37568-3&rft.pub=Wiley&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Funiversalhistory0000ifra&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation book"><a href="/w/index.php?title=Alfred_Kroeber&action=edit&redlink=1" class="new" title="Alfred Kroeber（页面不存在）">Kroeber, Alfred</a>. <a rel="nofollow" class="external text" href="http://books.google.com/books?id=Plqf_OTz4ukC">Handbook of the Indians of California</a>. Courier Dover Publications. 1976: 176 [1925] <span class="reference-accessdate"> [<span class="nowrap">2014-07-17</span>]</span>. <a href="/wiki/Special:%E7%BD%91%E7%BB%9C%E4%B9%A6%E6%BA%90/9780486233680" title="Special:网络书源/9780486233680"><span title="国际标准书号">ISBN</span> 9780486233680</a>. （原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20160505132821/https://books.google.com/books?id=Plqf_OTz4ukC">存档</a>于2016-05-05）.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E8%BF%9B%E4%BD%8D%E5%88%B6&rft.aufirst=Alfred&rft.aulast=Kroeber&rft.btitle=Handbook+of+the+Indians+of+California&rft.date=1976&rft.genre=book&rft.isbn=9780486233680&rft.pages=176&rft.pub=Courier+Dover+Publications&rft_id=http%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DPlqf_OTz4ukC&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="參見"><span id=".E5.8F.83.E8.A6.8B"></span>參見</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E8%BF%9B%E4%BD%8D%E5%88%B6&action=edit&section=3" title="编辑章节：參見"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r82655521">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><div class="side-box side-box-right plainlinks sistersitebox" style="font-size:small;"><style data-mw-deduplicate="TemplateStyles:r82655520">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0b/Wikiversity_logo_2017.svg/40px-Wikiversity_logo_2017.svg.png" decoding="async" width="40" height="33" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0b/Wikiversity_logo_2017.svg/60px-Wikiversity_logo_2017.svg.png 1.5x, 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href="//web.archive.org/web/20140331185859/http://www.kwuntung.net/hkunit/base/base.php">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20170204004954/http://ultrastudio.org/en/MechengburakalkanApplet-1.7.zip">Accurate Base Conversion</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20120321111930/http://sciences.aum.edu/~sbrown/Hindu%20Arabic%20and%20Chinese.pdf">The Development of Hindu Arabic and Traditional Chinese Arithmetics</a></li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/recurrence/conversion.shtml">Implementation of Base Conversion</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20110805065708/http://www.cut-the-knot.org/recurrence/conversion.shtml">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>） at <a href="/wiki/Cut-the-knot" class="mw-redirect" title="Cut-the-knot">cut-the-knot</a></li> <li><a rel="nofollow" class="external text" href="http://www.intuitor.com/counting/">Learn to count other bases on your fingers</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20110808035532/http://www.intuitor.com/counting/">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li> <li><a rel="nofollow" class="external text" href="http://www.codeproject.com/Articles/350252/From-one-to-another-number-system/">From one to another number system</a> （<a rel="nofollow" class="external text" href="//web.archive.org/web/20140726085420/http://www.codeproject.com/Articles/350252/From-one-to-another-number-system/">页面存档备份</a>，存于<a href="/wiki/%E4%BA%92%E8%81%94%E7%BD%91%E6%A1%A3%E6%A1%88%E9%A6%86" title="互联网档案馆">互联网档案馆</a>）</li></ul> <p class="mw-empty-elt"> </p> <div 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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: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 class="mw-selflink selflink">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 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 class="mw-selflink selflink">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 class="mw-selflink selflink">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?useformat=desktop&type=1x1&usesul3=0" 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=进位制&oldid=83165877">https://zh.wikipedia.org/w/index.php?title=进位制&oldid=83165877</a>”</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" 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