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[o]" accesskey="o" class=""><span>로그인</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="더 많은 옵션" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="개인 도구" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">개인 도구</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="사용자 메뉴" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ko.wikipedia.org&uselang=ko"><span>기부</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%ED%8A%B9%EC%88%98:%EA%B3%84%EC%A0%95%EB%A7%8C%EB%93%A4%EA%B8%B0&returnto=%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95" title="계정을 만들고 로그인하는 것이 좋습니다. 하지만 필수는 아닙니다"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>계정 만들기</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%ED%8A%B9%EC%88%98:%EB%A1%9C%EA%B7%B8%EC%9D%B8&returnto=%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95" title="위키백과에 로그인하면 여러가지 편리한 기능을 사용할 수 있습니다. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>로그인</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> 로그아웃한 편집자를 위한 문서 <a href="/wiki/%EB%8F%84%EC%9B%80%EB%A7%90:%EC%86%8C%EA%B0%9C" aria-label="편집에 관해 더 알아보기"><span>더 알아보기</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/%ED%8A%B9%EC%88%98:%EB%82%B4%EA%B8%B0%EC%97%AC" title="이 IP 주소의 편집 목록 [y]" accesskey="y"><span>기여</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EC%82%AC%EC%9A%A9%EC%9E%90%ED%86%A0%EB%A1%A0" title="현재 사용하는 IP 주소에 대한 토론 문서 [n]" accesskey="n"><span>토론</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="사이트"> <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="목차" 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">목차</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">사이드바로 이동</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">숨기기</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">처음 위치</div> </a> </li> <li id="toc-기수법" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#기수법"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>기수법</span> </div> </a> <ul id="toc-기수법-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-소수" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#소수"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>소수</span> </div> </a> <ul id="toc-소수-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-명수법" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#명수법"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>명수법</span> </div> </a> <ul id="toc-명수법-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-용도" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#용도"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>용도</span> </div> </a> <ul id="toc-용도-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-같이_보기" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#같이_보기"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>같이 보기</span> </div> </a> <ul id="toc-같이_보기-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-외부_링크" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#외부_링크"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>외부 링크</span> </div> </a> <ul id="toc-외부_링크-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="목차" 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="목차 토글" > <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">목차 토글</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">십이진법</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="다른 언어로 문서를 방문합니다. 41개 언어로 읽을 수 있습니다" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-41" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">41개 언어</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D8%B8%D8%A7%D9%85_%D8%B9%D8%AF_%D8%A7%D8%AB%D9%86%D8%A7_%D8%B9%D8%B4%D8%B1%D9%8A" title="نظام عد اثنا عشري – 아랍어" lang="ar" hreflang="ar" data-title="نظام عد اثنا عشري" data-language-autonym="العربية" data-language-local-name="아랍어" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Sistema_duodecimal" title="Sistema duodecimal – 카탈로니아어" lang="ca" hreflang="ca" data-title="Sistema duodecimal" data-language-autonym="Català" data-language-local-name="카탈로니아어" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Dvan%C3%A1ctkov%C3%A1_soustava" title="Dvanáctková soustava – 체코어" lang="cs" hreflang="cs" data-title="Dvanáctková soustava" data-language-autonym="Čeština" data-language-local-name="체코어" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Deuddegol" title="Deuddegol – 웨일스어" lang="cy" hreflang="cy" data-title="Deuddegol" data-language-autonym="Cymraeg" data-language-local-name="웨일스어" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Duodecimal" title="Duodecimal – 덴마크어" lang="da" hreflang="da" data-title="Duodecimal" data-language-autonym="Dansk" data-language-local-name="덴마크어" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Duodezimalsystem" title="Duodezimalsystem – 독일어" lang="de" hreflang="de" data-title="Duodezimalsystem" data-language-autonym="Deutsch" data-language-local-name="독일어" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CF%89%CE%B4%CE%B5%CE%BA%CE%B1%CE%B4%CE%B9%CE%BA%CF%8C_%CF%83%CF%8D%CF%83%CF%84%CE%B7%CE%BC%CE%B1_%CE%B1%CF%81%CE%AF%CE%B8%CE%BC%CE%B7%CF%83%CE%B7%CF%82" title="Δωδεκαδικό σύστημα αρίθμησης – 그리스어" lang="el" hreflang="el" data-title="Δωδεκαδικό σύστημα αρίθμησης" data-language-autonym="Ελληνικά" data-language-local-name="그리스어" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Duodecimal" title="Duodecimal – 영어" lang="en" hreflang="en" data-title="Duodecimal" data-language-autonym="English" data-language-local-name="영어" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Dekduuma_sistemo" title="Dekduuma sistemo – 에스페란토어" lang="eo" hreflang="eo" data-title="Dekduuma sistemo" data-language-autonym="Esperanto" data-language-local-name="에스페란토어" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Sistema_duodecimal" title="Sistema duodecimal – 스페인어" lang="es" hreflang="es" data-title="Sistema duodecimal" data-language-autonym="Español" data-language-local-name="스페인어" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kaheteistk%C3%BCmnends%C3%BCsteem" title="Kaheteistkümnendsüsteem – 에스토니아어" lang="et" hreflang="et" data-title="Kaheteistkümnendsüsteem" data-language-autonym="Eesti" data-language-local-name="에스토니아어" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zenbaki-sistema_hamabitar" title="Zenbaki-sistema hamabitar – 바스크어" lang="eu" hreflang="eu" data-title="Zenbaki-sistema hamabitar" data-language-autonym="Euskara" data-language-local-name="바스크어" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AF%D8%B3%D8%AA%DA%AF%D8%A7%D9%87_%D8%A7%D8%B9%D8%AF%D8%A7%D8%AF_%D9%BE%D8%A7%DB%8C%D9%87_%DB%B1%DB%B2" title="دستگاه اعداد پایه ۱۲ – 페르시아어" lang="fa" hreflang="fa" data-title="دستگاه اعداد پایه ۱۲" data-language-autonym="فارسی" data-language-local-name="페르시아어" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Duodesimaalij%C3%A4rjestelm%C3%A4" title="Duodesimaalijärjestelmä – 핀란드어" lang="fi" hreflang="fi" data-title="Duodesimaalijärjestelmä" data-language-autonym="Suomi" data-language-local-name="핀란드어" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Syst%C3%A8me_duod%C3%A9cimal" title="Système duodécimal – 프랑스어" lang="fr" hreflang="fr" data-title="Système duodécimal" data-language-autonym="Français" data-language-local-name="프랑스어" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%91%D7%A1%D7%99%D7%A1_%D7%93%D7%95%D7%90%D7%95%D7%93%D7%A6%D7%99%D7%9E%D7%9C%D7%99" title="בסיס דואודצימלי – 히브리어" lang="he" hreflang="he" data-title="בסיס דואודצימלי" data-language-autonym="עברית" data-language-local-name="히브리어" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Tizenkettes_sz%C3%A1mrendszer" title="Tizenkettes számrendszer – 헝가리어" lang="hu" hreflang="hu" data-title="Tizenkettes számrendszer" data-language-autonym="Magyar" data-language-local-name="헝가리어" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Tylftakerfi" title="Tylftakerfi – 아이슬란드어" lang="is" hreflang="is" data-title="Tylftakerfi" data-language-autonym="Íslenska" data-language-local-name="아이슬란드어" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Sistema_numerico_duodecimale" title="Sistema numerico duodecimale – 이탈리아어" lang="it" hreflang="it" data-title="Sistema numerico duodecimale" data-language-autonym="Italiano" data-language-local-name="이탈리아어" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E9%80%B2%E6%B3%95" title="十二進法 – 일본어" lang="ja" hreflang="ja" data-title="十二進法" data-language-autonym="日本語" data-language-local-name="일본어" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Duodecim%C4%81l%C4%81_skait%C4%AB%C5%A1anas_sist%C4%93ma" title="Duodecimālā skaitīšanas sistēma – 라트비아어" lang="lv" hreflang="lv" data-title="Duodecimālā skaitīšanas sistēma" data-language-autonym="Latviešu" data-language-local-name="라트비아어" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Sistema_de_numera%C3%A7on_duodecimal" title="Sistema de numeraçon duodecimal – 미란데어" lang="mwl" hreflang="mwl" data-title="Sistema de numeraçon duodecimal" data-language-autonym="Mirandés" data-language-local-name="미란데어" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Twaalftallig_stelsel" title="Twaalftallig stelsel – 네덜란드어" lang="nl" hreflang="nl" data-title="Twaalftallig stelsel" data-language-autonym="Nederlands" data-language-local-name="네덜란드어" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Tolvtalsystemet" title="Tolvtalsystemet – 노르웨이어(니노르스크)" lang="nn" hreflang="nn" data-title="Tolvtalsystemet" data-language-autonym="Norsk nynorsk" data-language-local-name="노르웨이어(니노르스크)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Tolvtallsystemet" title="Tolvtallsystemet – 노르웨이어(보크말)" lang="nb" hreflang="nb" data-title="Tolvtallsystemet" data-language-autonym="Norsk bokmål" data-language-local-name="노르웨이어(보크말)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Dwunastkowy_system_liczbowy" title="Dwunastkowy system liczbowy – 폴란드어" lang="pl" hreflang="pl" data-title="Dwunastkowy system liczbowy" data-language-autonym="Polski" data-language-local-name="폴란드어" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Sistema_de_numera%C3%A7%C3%A3o_duodecimal" title="Sistema de numeração duodecimal – 포르투갈어" lang="pt" hreflang="pt" data-title="Sistema de numeração duodecimal" data-language-autonym="Português" data-language-local-name="포르투갈어" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Sistem_duodecimal" title="Sistem duodecimal – 루마니아어" lang="ro" hreflang="ro" data-title="Sistem duodecimal" data-language-autonym="Română" data-language-local-name="루마니아어" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%94%D0%B2%D0%B5%D0%BD%D0%B0%D0%B4%D1%86%D0%B0%D1%82%D0%B5%D1%80%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D1%81%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%B8%D1%8F" title="Двенадцатеричная система счисления – 러시아어" lang="ru" hreflang="ru" data-title="Двенадцатеричная система счисления" data-language-autonym="Русский" data-language-local-name="러시아어" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Duodecimal" title="Duodecimal – Simple English" lang="en-simple" hreflang="en-simple" data-title="Duodecimal" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Dvanajsti%C5%A1ki_%C5%A1tevilski_sistem" title="Dvanajstiški številski sistem – 슬로베니아어" lang="sl" hreflang="sl" data-title="Dvanajstiški številski sistem" data-language-autonym="Slovenščina" data-language-local-name="슬로베니아어" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Duodecimala_talsystemet" title="Duodecimala talsystemet – 스웨덴어" lang="sv" hreflang="sv" data-title="Duodecimala talsystemet" data-language-autonym="Svenska" data-language-local-name="스웨덴어" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%A5%E0%B8%82%E0%B8%90%E0%B8%B2%E0%B8%99%E0%B8%AA%E0%B8%B4%E0%B8%9A%E0%B8%AA%E0%B8%AD%E0%B8%87" title="เลขฐานสิบสอง – 태국어" lang="th" hreflang="th" data-title="เลขฐานสิบสอง" data-language-autonym="ไทย" data-language-local-name="태국어" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/On_ikili_say%C4%B1_sistemi" title="On ikili sayı sistemi – 터키어" lang="tr" hreflang="tr" data-title="On ikili sayı sistemi" data-language-autonym="Türkçe" data-language-local-name="터키어" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a 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3.3em}@media(max-width:720px){body.mediawiki .mw-parser-output .sidebar{width:100%!important;clear:both;float:none!important;margin-left:0!important;margin-right:0!important}}</style><table class="sidebar nomobile nowraplinks hlist"><tbody><tr><th class="sidebar-title"><a href="/wiki/%EA%B8%B0%EC%88%98%EB%B2%95" title="기수법">기수법</a></th></tr><tr><th class="sidebar-heading"> 개념</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/%EB%B0%91_(%EC%88%98%ED%95%99)" title="밑 (수학)">밑</a></li> <li><a href="/wiki/%EC%9C%84%EC%B9%98_%EA%B8%B0%EC%88%98%EB%B2%95" title="위치 기수법">위치 기수법</a></li> <li><a href="/w/index.php?title=%EB%B9%84%EC%A0%95%EC%88%98_%EA%B8%B0%EC%88%98%EB%B2%95&action=edit&redlink=1" class="new" title="비정수 기수법 (없는 문서)">비정수 기수법</a></li></ul></td> </tr><tr><th class="sidebar-heading"> <a href="/wiki/%EC%88%AB%EC%9E%90" title="숫자">숫자</a></th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/%EB%B0%94%EB%B9%8C%EB%A1%9C%EB%8B%88%EC%95%84_%EC%88%AB%EC%9E%90" title="바빌로니아 숫자">바빌로니아 숫자</a></li> <li><a href="/wiki/%EC%9D%B4%EC%A7%91%ED%8A%B8_%EC%88%AB%EC%9E%90" title="이집트 숫자">이집트 숫자</a></li> <li><a href="/wiki/%EA%B7%B8%EB%A6%AC%EC%8A%A4_%EC%88%AB%EC%9E%90" title="그리스 숫자">그리스 숫자</a></li> <li><a href="/wiki/%EB%A1%9C%EB%A7%88_%EC%88%AB%EC%9E%90" title="로마 숫자">로마 숫자</a></li> <li><a href="/wiki/%EB%A7%88%EC%95%BC_%EC%88%AB%EC%9E%90" title="마야 숫자">마야 숫자</a></li> <li><a href="/wiki/%EC%95%84%EB%9D%BC%EB%B9%84%EC%95%84_%EC%88%AB%EC%9E%90" title="아라비아 숫자">아라비아 숫자</a></li> <li><a href="/wiki/%ED%95%9C%EC%9E%90_%EC%88%AB%EC%9E%90" class="mw-redirect" title="한자 숫자">한자 숫자</a></li></ul></td> </tr><tr><th class="sidebar-heading"> 진법</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/%EC%9D%BC%EC%A7%84%EB%B2%95" title="일진법">단항 기수법</a> (1)</li> <li><a href="/wiki/%EC%9D%B4%EC%A7%84%EB%B2%95" title="이진법">이진법</a> (2)</li> <li><a href="/wiki/%EC%82%BC%EC%A7%84%EB%B2%95" title="삼진법">삼진법</a> (3)</li> <li><a href="/wiki/%EC%82%AC%EC%A7%84%EB%B2%95" title="사진법">사진법</a> (4)</li> <li><a href="/wiki/%EC%98%A4%EC%A7%84%EB%B2%95" title="오진법">오진법</a> (5)</li> <li><a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a> (6)</li> <li><a href="/wiki/%ED%8C%94%EC%A7%84%EB%B2%95" title="팔진법">팔진법</a> (8)</li> <li><a href="/wiki/%EA%B5%AC%EC%A7%84%EB%B2%95" title="구진법">구진법</a> (9)</li> <li><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a> (10)</li> <li><a href="/wiki/%EC%8B%AD%EC%9D%BC%EC%A7%84%EB%B2%95" title="십일진법">십일진법</a> (11)</li> <li><a class="mw-selflink selflink">십이진법</a> (12)</li> <li><a href="/wiki/%EC%8B%AD%EC%98%A4%EC%A7%84%EB%B2%95" title="십오진법">십오진법</a> (15)</li> <li><a href="/wiki/%EC%8B%AD%EC%9C%A1%EC%A7%84%EB%B2%95" title="십육진법">십육진법</a> (16)</li> <li><a href="/wiki/%EC%8B%AD%ED%8C%94%EC%A7%84%EB%B2%95" title="십팔진법">십팔진법</a> (18)</li> <li><a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> (20)</li> <li><a href="/wiki/%EC%82%BC%EC%8B%AD%EC%9C%A1%EC%A7%84%EB%B2%95" title="삼십육진법">삼십육진법</a> (36)</li> <li><a href="/wiki/%EC%9C%A1%EC%8B%AD%EC%A7%84%EB%B2%95" title="육십진법">육십진법</a> (60)</li></ul></td> </tr></tbody></table> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Duodecimal_digits_Arial.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Duodecimal_digits_Arial.svg/220px-Duodecimal_digits_Arial.svg.png" decoding="async" width="220" height="22" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Duodecimal_digits_Arial.svg/330px-Duodecimal_digits_Arial.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Duodecimal_digits_Arial.svg/440px-Duodecimal_digits_Arial.svg.png 2x" data-file-width="621" data-file-height="62" /></a><figcaption></figcaption></figure> <p><b>십이진법</b>(十二進法, <span lang="en">duodecimal</span>, <span lang="en">dozenal</span>)은 <a href="/wiki/12" title="12">12</a>를 밑으로 한 <a href="/wiki/%EA%B8%B0%EC%88%98%EB%B2%95" title="기수법">기수법</a>이다. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="기수법"><span id=".EA.B8.B0.EC.88.98.EB.B2.95"></span>기수법</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=1" title="부분 편집: 기수법"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th><a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a> </th> <td>0</td> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5</td> <td>10</td> <td>11</td> <td>12</td> <td>13</td> <td>14</td> <td>15</td> <td>20</td> <td>21</td> <td>22</td> <td>23</td> <td>24</td> <td>25</td> <td>30</td> <td>31</td> <td>32 </td></tr> <tr> <th><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a> </th> <td>0</td> <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>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>20 </td></tr> <tr> <th>십이진법 </th> <td><b>0</b></td> <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>X</td> <td>E</td> <td><b>10</b></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><a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> </th> <td>0</td> <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>B</td> <td>C</td> <td>D</td> <td>E</td> <td>F</td> <td>G</td> <td>H</td> <td>I</td> <td>J</td> <td>10 </td></tr></tbody></table> <p>십이진수를 나타 내기위한 통일 된 표기법은 아니지만, 일반적으로는 <a href="/wiki/0" title="0">0</a>, <a href="/wiki/1" title="1">1</a>, <a href="/wiki/2" title="2">2</a>, <a href="/wiki/3" title="3">3</a>, <a href="/wiki/4" title="4">4</a>, <a href="/wiki/5" title="5">5</a>, <a href="/wiki/6" title="6">6</a>, <a href="/wiki/7" title="7">7</a>, <a href="/wiki/8" title="8">8</a>, <a href="/wiki/9" title="9">9</a>의 십 개의 숫자 이외에 <a href="/wiki/10" title="10">십</a>를 나타내는 <a href="/wiki/A" title="A">A</a>, <a href="/wiki/11" title="11">십일</a>을 나타내는 <a href="/wiki/B" title="B">B</a>를 사용한다. 수열 도 위의 표와 같이 십진법 <a href="/wiki/12" title="12">12</a>가 "10", 십진법 <a href="/wiki/13" title="13">13</a>가 "11", 십진법 <a href="/wiki/14" title="14">14</a>가 "12"이된다. </p><p>십이진법은 "<a href="/wiki/3" title="3">3</a>의 <a href="/wiki/4" title="4">4</a> 배는 10" "4의 3 배는 10"이므로, <a href="/wiki/%EC%86%8C%EC%9D%B8%EC%88%98" class="mw-redirect" title="소인수">소인수</a>는 <a href="/wiki/2" title="2">2</a>와 3에서 <a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a> (2의 3 배는 10)와 같지만, 구조는 "<a href="/wiki/%ED%99%80%EC%88%98" class="mw-redirect" title="홀수">홀수</a>의 4 배"에서 <a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> (4의 <a href="/wiki/5" title="5">5</a> 배는 10)과 같다. 따라서, <a href="/wiki/%EB%82%98%EB%88%97%EC%85%88" title="나눗셈">나눗셈</a>이 쉬운 점은 <a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a>과 같지만, "큰 소를 겸하는"라는 본질은 <a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a>과 같다. 또한 십이진법과 <a href="/wiki/%EC%8B%AD%ED%8C%94%EC%A7%84%EB%B2%95" title="십팔진법">십팔진법</a>는 4와 <a href="/wiki/9" title="9">9</a>의 입장이 역전한다. 십팔진법으로는 한 자리에서 9 분할이 가능하지만 한 자리에서 4 분할 할 수 없는 반면, 십이진법은 한 자리에서 4 분할이 가능하지만 한 자리에서 9 분할 수 없다. </p><p>자리수의 증가 속도는 육진법보다 이십진법에 가깝다. 예를 들어, 십이진법 1000은 육진법에서는 12000 (8 배 느린)하지만 이십진법에서는 468 (5 배 빠른), <a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a>은 1728 (1 배 반 느린)이다. 4 승수 인 10000은 육진법에 240000 (24<sub>육진</sub> 배 = 16<sub>십진</sub> 배 느린)가 이십진법에서는 2BGG (8 배 빠른), 십진법에서는 20736 (2 배 느린)가된다. </p> <dl><dt>정수의 예</dt></dl> <ul><li>26 = <a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a> 30 (2×12 + 6)</li> <li>30 = <a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a> 100 = 십진법 36 (3×12)</li> <li>39 = 십진법 45 (3×12 + 9)</li> <li>50 = 십진법 60 (5×12)</li> <li>54 = <a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a> 144 = 십진법 64 (5×12 + 4)</li> <li>76 = 십진법 90 (7×12 + 6)</li> <li>100 = 육진법 400 = 십진법 144 (1×12<sup>2</sup>)</li> <li>160 = 육진법 1000 = 십진법 216 (1×12<sup>2</sup> + 6×12<sup>1</sup>)</li> <li>1A6 = 십진법 270 (1×12<sup>2</sup> + 10×12<sup>1</sup> + 6)</li> <li>260 = 십진법 360 (2×12<sup>2</sup> + 6×12<sup>1</sup>)</li> <li>294 = <a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> 100 = 십진법 400 (2×12<sup>2</sup> + 9×12<sup>1</sup> + 4)</li> <li>441 = 십진법 625 (4×12<sup>2</sup> + 4×12<sup>1</sup> + 1)</li> <li>500 = 십진법 720 (5×12<sup>2</sup>)</li> <li>6B4 = 십진법 1000 (6×12<sup>2</sup> + 11×12<sup>1</sup> + 4)</li> <li>859 = 십진법 1221 (8×12<sup>2</sup> + 5×12<sup>1</sup> + 9)</li> <li>900 = 육진법 10000 = 십진법 1296 (9×12<sup>2</sup>)</li> <li>1000 = 십진법 1728 (1×12<sup>3</sup>)</li> <li>11A8 = 십진법 2000 (1×12<sup>3</sup> + 1×12<sup>2</sup> + 10×12<sup>1</sup> + 8)</li> <li>1945 = 십진법 3077 (1×12<sup>3</sup> + 9×12<sup>2</sup> + 4×12<sup>1</sup> + 5)</li> <li>2454 = <a href="/wiki/%EC%8B%AD%EC%9C%A1%EC%A7%84%EB%B2%95" title="십육진법">십육진법</a> 1000 = 십진법 4096 (2×12<sup>3</sup> + 4×12<sup>2</sup> + 5×12<sup>1</sup> + 4)</li> <li>3460 = <a href="/wiki/%EC%8B%AD%ED%8C%94%EC%A7%84%EB%B2%95" title="십팔진법">십팔진법</a> 1000 = 십진법 5832 (3×12<sup>3</sup> + 4×12<sup>2</sup> + 6×12<sup>1</sup> + 0)</li> <li>3969 = <a href="/wiki/%EA%B5%AC%EC%A7%84%EB%B2%95" title="구진법">구진법</a> 10000 = 십진법 6561 (3×12<sup>3</sup> + 9×12<sup>2</sup> + 6×12<sup>1</sup> + 9)</li> <li>4768 = <a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> 1000 = 십진법 8000 (4×12<sup>3</sup> + 7×12<sup>2</sup> + 6×12<sup>1</sup> + 8)</li> <li>5000 = 이십진법 11C0 = 십진법 8640 (5×12<sup>3</sup>)</li> <li>6000 = 십진법 10368 (6×12<sup>3</sup>)</li> <li>BA95 = 십진법 20561 (11×12<sup>3</sup> + 10×12<sup>2</sup> + 9×12<sup>1</sup> + 5)</li> <li>10000 = 십진법 20736 (1×12<sup>4</sup>)</li> <li>23000 = 육진법 1,000,000 = 십진법 46656 (2×12<sup>4</sup> + 3×12<sup>3</sup>)</li></ul> <dl><dt>사칙 연산의 예</dt> <dd></dd></dl> <ul><li>십이진법 2454 + 68 = 2500 : 십육진법 1000 + 50 = 1050 : 십진법 4096 + 80 = 4176 : 육진법 30544 + 212 = 31200</li> <li>십이진법 11A8 - 39 = 116B : 이십진법 500 - 25 = 4HF : 십진법 2000 - 45 = 1955 : 육진법 13132 - 113 = 13015</li> <li>십이진법 1A6 × 4 = 760 : 이십진법 DA × 4 = 2E0 : 십진법 270 × 4 = 1080 : 육진법 1130 × 4 = 5000</li> <li>십이진법 3460 ÷ 9 = 460 : 십팔진법 1000 ÷ 9 = 200 : 십진법 5832 ÷ 9 = 648 : 육진법 43000 ÷ 13 = 3000</li></ul> <div class="mw-heading mw-heading2"><h2 id="소수"><span id=".EC.86.8C.EC.88.98"></span>소수</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=2" title="부분 편집: 소수"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dt>주요 분수</dt></dl> <ul><li>1/2 = 0.6</li> <li>1/3 = 0.4 (<a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a> 0.2, <a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a> 0.<u>3</u>333…, <a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> 0.<u>6D</u>6D…)</li> <li>2/3 = 0.8</li> <li>1/4 = 0.3 (육진법 0.<a href="/wiki/9" title="9">13</a>, 십진법 0.<a href="/wiki/25" title="25">25</a>, 이십진법 0.5)</li> <li>3/4 = 0.9</li> <li>1/5 = 0.<u>2497</u>… (육진법 0.<u>1</u>111…, 십진법 0.2, 이십진법 0.4)</li> <li>2/5 = 0.<u>4972</u>…</li> <li>3/5 = 0.<u>7249</u>…</li> <li>4/5 = 0.<u>9724</u>…</li> <li>1/6 = 0.2 (육진법 0.1)</li> <li>1/7 = 0.<u>186A35</u>…</li> <li>1/8 = 0.16 (육진법 0.043, 십진법 0.125, 이십진법 0.2A)</li> <li>1/9 = 0.14 (육진법 0.04, 십진법 0.<u>1</u>111…, 이십진법 0.<u>248HFB</u>… )</li> <li>1/A = 0.1<u>2497</u>…</li> <li>1/B = 0.<u>1</u>111…</li> <li>1/10 = 0.1 (육진법 0.03, 1/20 ; 십진법 0.08<u>3</u>33…, 1/12 ; 이십진법 0.1<u>D6</u>D6…)</li></ul> <dl><dt>기타</dt></dl> <ul><li>1/14 = 0.09 (<a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a> 0.0213, 2<sup>-4</sup> ; 십진법 0.0625, 1/16 ; 이십진법 0.15)</li> <li>1/16 = 0.08 (육진법 0.02, 1/30 ; 십진법 1/18)</li> <li>1/18 = 0.0<u>7249</u>… (육진법 0.01<u>4</u>44…, 1/32 ; 십진법 0.05, 1/20 ; 이십진법 0.1)</li> <li>1/20 = 0.06 (육진법 0.013, 1/40 ; 십진법 1/24)</li> <li>1/23 = 0.054 (육진법 0.012, 3<sup>-3</sup>, 십진법 1/27)</li> <li>1/28 = 0.046 (육진법 0.01043, 2<sup>-5</sup>, 십진법 1/32)</li> <li>1/30 = 0.04 (육진법 0.01, 1/100 ; 십진법 1/36)</li> <li>1/40 = 0.03 (육진법 0.0043, 십진법 1/48)</li> <li>1/46 = 0.028 (육진법 0.004, 십진법 1/54)</li> <li>1/54 = 0.023 (육진법 0.003213, 2<sup>-10</sup>; 십진법 1/64, 2<sup>-6</sup>)</li> <li>1/60 = 0.02 (육진법 0.003, 1/200 ; 십진법 1/72)</li> <li>1/69 = 0.0194 (육진법 0.0024, 3<sup>-4</sup>, 십진법 1/81)</li> <li>1/80 = 0.016 (육진법 0.00213, 1/240 ; 십진법 1/96)</li> <li>1/90 = 0.014 (육진법 0.002, 1/300 ; 십진법 1/108)</li> <li>1/A8 = 0.0116 (육진법 0.0014043, 2<sup>-11</sup> ; 십진법 1/128, 2<sup>-7</sup>)</li> <li>1/100 = 0.01 (육진법 0.0013, 1/400 ; 십진법 1/144)</li> <li>1/116 = 0.00A8 (육진법 0.0012, 1/430 ; 십진법 1/162)</li> <li>1/160 = 0.008 (육진법 0.001, 1/1000 ; 십진법 1/216)</li> <li>1/183 = 0.00714 (육진법 0.00052, 3<sup>-5</sup> ; 십진법 1/243)</li> <li>1/194 = 0.0069 (육진법 0.00050213, 2<sup>-12</sup> ; 십진법 1/256, 2<sup>-8</sup>)</li> <li>1/200 = 0.006 (육진법 0.00043, 1/1200 ; 십진법 1/288)</li> <li>1/230 = 0.0054 (육진법 0.0004, 1/1300 ; 십진법 1/324)</li> <li>1/300 = 0.004 (육진법 0.0003, 1/2000 ; 십진법 1/432)</li></ul> <table class="wikitable"> <caption>2의 멱수에 의한 제산 </caption> <tbody><tr> <th>멱 지수</th> <th><a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a></th> <th>십이진법</th> <th><a href="/wiki/%EC%8B%AD%ED%8C%94%EC%A7%84%EB%B2%95" title="십팔진법">십팔진법</a> </th></tr> <tr> <td>2<sup>-1</sup></td> <td>0.3<br />(3 / 10)</td> <td>0.6<br />(10 / 20)</td> <td>0.9<br />(13 / 30) → 분자가 3<sup>2</sup> </td></tr> <tr> <td>2<sup>-2</sup></td> <td>0.13<br />(13 / 100)</td> <td>0.3<br />(3 / 20) → 분자가 2√13</td> <td>0.49<br />(213 / 1300) → 분자가 13<sup>2</sup> </td></tr> <tr> <td>2<sup>-3</sup></td> <td>0.043<br />(43 / 1000)</td> <td>0.16<br />(30 / 400)</td> <td>0.249<br />(3213 / 43000) → 분자가 43<sup>2</sup> </td></tr> <tr> <td>2<sup>-4</sup></td> <td>0.0213<br />(213 / 10000)</td> <td>0.09<br />(13 / 400) → 분자가 2√213</td> <td>0.1249<br />(50213 / 2,130000) → 분자가 213<sup>2</sup> </td></tr> <tr> <td>2<sup>-5</sup></td> <td>0.01043<br />(1043 / 100000)</td> <td>0.046<br />(130 / 12000)</td> <td>0.0A249<br />(1,133213 / 104,300000) → 분자가 1043<sup>2</sup> </td></tr> <tr> <td>2<sup>-6</sup></td> <td>0.003213<br />(3213 / 1,000000)</td> <td>0.023<br />(43 / 12000) → 분자가 2√3213</td> <td>0.051249<br />(15,220213 / 3213,000000) → 분자가 3213<sup>2</sup> </td></tr> <tr> <td>2<sup>-7</sup></td> <td>0.0014043<br />(14043 / 10,000000)</td> <td>0.0116<br />(430 / 240000)</td> <td>0.029A249<br />(250,303213 / 140430,000000) → 분자가 14043<sup>2</sup> </td></tr> <tr> <td>2<sup>-8</sup></td> <td>0.00050213<br />(50213 / 100,000000)</td> <td>0.0069<br />(213 / 240000) → 분자가 2√50213</td> <td>0.014E1249<br />(4134,350213 / 5,021300,000000) → 분자가 50213<sup>2</sup> </td></tr></tbody></table> <p>※ 육진 분수로의 환산 치도 함께 게재한다. 자리수는 육개 마다 ( (2×3)<sup>2×3</sup> = 1,000000 육진수 = 46656 십진수)로 구분되어있다. </p> <table class="wikitable"> <caption>3의 멱수에 의한 제산 </caption> <tbody><tr> <th>멱 지수</th> <th>육진법</th> <th>십이진법</th> <th>십팔진법 </th></tr> <tr> <td>3<sup>-1</sup></td> <td>0.2<br />(2 / 10)</td> <td>0.4<br />(4 / 20) → 분자가 2<sup>2</sup></td> <td>0.6<br />(10 / 30) </td></tr> <tr> <td>3<sup>-2</sup></td> <td>0.04<br />(4 / 100)</td> <td>0.14<br />(24 / 400) → 분자가 4<sup>2</sup></td> <td>0.2<br />(2 / 30) → 분자가 2√4 </td></tr> <tr> <td>3<sup>-3</sup></td> <td>0.012<br />(12 / 1000)</td> <td>0.054<br />(144 / 12000) → 분자가 12<sup>2</sup></td> <td>0.0C<br />(20 / 1300) </td></tr> <tr> <td>3<sup>-4</sup></td> <td>0.0024<br />(24 / 10000)</td> <td>0.0194<br />(1104 / 240000) → 분자가 24<sup>2</sup></td> <td>0.04<br />(4 / 1300) → 분자가 2√24 </td></tr> <tr> <td>3<sup>5</sup></td> <td>0.00052<br />(52 / 100000)</td> <td>0.00714<br />(4424 / 5,200000) → 분자가 52<sup>2</sup></td> <td>0.016<br />(40 / 43000) </td></tr> <tr> <td>3<sup>-6</sup></td> <td>0.000144<br />(144 / 1,000000)</td> <td>0.002454<br />(30544 / 144,000000) → 분자가 144<sup>2</sup></td> <td>0.008<br />(12 / 43000) → 분자가 2√144 </td></tr> <tr> <td>3<sup>-7</sup></td> <td>0.0000332<br />(332 / 10,000000)</td> <td>0.0009594<br />(203504 / 3320,000000) → 분자가 332<sup>2</sup></td> <td>0.002C<br />(120 / 2,130000) </td></tr> <tr> <td>3<sup>-8</sup></td> <td>0.00001104<br /> (1104 / 100,000000)</td> <td>0.00031B14<br />(1,223224 / 110400,000000) → 분자가 1104<sup>2</sup></td> <td>0.000G<br />(24 / 2,130000) → 분자가 2√1104 </td></tr></tbody></table> <p>※ 육진 분수로의 환산 치도 함께 게재한다. 자리수는 육개 마다 ( (2×3)<sup>2×3</sup> = 1,000000 육진수 = 46656 십진수)로 구분되어있다. </p> <div class="mw-heading mw-heading2"><h2 id="명수법"><span id=".EB.AA.85.EC.88.98.EB.B2.95"></span>명수법</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=3" title="부분 편집: 명수법"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>십이진수에 이름을 붙이는 방법에도 통일된 방법은 없으나 <a href="/wiki/%EC%98%81%EC%96%B4" title="영어">영어</a>로는 아래와 같이 표현하는 방법이 있다. </p> <table class="wikitable"> <tbody><tr> <th>십이진수 </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>B</td> <td>10 </td></tr> <tr> <th>명칭 </th> <td>one</td> <td>two</td> <td>three</td> <td>four</td> <td>five</td> <td>six</td> <td>seven</td> <td>eight</td> <td>nine</td> <td>dek</td> <td>el</td> <td>do </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="용도"><span id=".EC.9A.A9.EB.8F.84"></span>용도</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=4" title="부분 편집: 용도"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>"십이"는 "<b>이육</b>" (10<sub>(12)</sub>, 12<sub>(10)</sub>, 20<sub>(6)</sub>) 라고도 부를 수있는 숫자로, <a href="/wiki/2" title="2">2</a>, <a href="/wiki/3" title="3">3</a>, <a href="/wiki/4" title="4">4</a>, <a href="/wiki/6" title="6">6</a>의 배수인 관계로 편리하기 때문에 생겨났으며, 다양한 단위로 이용되어왔다. </p><p>현재도 다양한 단위로 십이진법에 해당하는 것을 볼 수 있다. 이를테면 1 <a href="/wiki/%ED%83%80_(%EB%8B%A8%EC%9C%84)" title="타 (단위)">타</a>는 12<sub>(10)</sub> 개, 1 그로스는 12<sub>(10)</sub> 타 (144<sub>(10)</sub>개 = 400<sub>(6)</sub>개), 1 <a href="/wiki/%EC%9D%B8%EC%B9%98" title="인치">인치</a>는 12<sub>(10)</sub> <a href="/wiki/%EB%9D%BC%EC%9D%B8" class="mw-disambig" title="라인">라인</a>, 1 <a href="/wiki/%ED%94%BC%ED%8A%B8" title="피트">피트</a>는 12<sub>(10)</sub> 인치 (144<sub>(10)</sub> 라인)에 해당하는 것 등이다. </p><p><a href="/wiki/10" title="10">십</a> (A<sub>(12)</sub>, 10<sub>(10)</sub>, 14<sub>(6)</sub>)은 2와 <a href="/wiki/5" title="5">5</a>로 밖에 나눌 수 없다. <a href="/wiki/16" title="16">십육</a> (14<sub>(12)</sub>, 16<sub>(10)</sub>, 24<sub>(6)</sub>)은 <a href="/wiki/2%EC%9D%98_%EA%B1%B0%EB%93%AD%EC%A0%9C%EA%B3%B1" title="2의 거듭제곱">2의 멱 승수</a> (2,4, <a href="/wiki/8" title="8">8</a>,십육)로 밖에 나눌 수 없다. 육 (6, 10<sub>(6)</sub>)은 2와 3에서 분할 수 있지만, 하나의 자릿수에서 4 분할 못하고, 4 분할는 2 승수를 가진 십진법 <a href="/wiki/36" title="36">36</a> (<a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a> 100 = 십이진법 30)까지 기다려야한다. 십이는 하나의 자릿수에서 2,3,4,6의 상관 없음 나누기 수있다. </p><p>조금 큰 숫자는 <a href="/wiki/20" title="20">이십</a> (18<sub>(12)</sub>, 20<sub>(10)</sub>, 32<sub>(6)</sub>)는 십이와 유사하고, 이쪽은 3과 5가 역전한 다음 하나의 자릿수에서 2,4,5,A의 상관 없음 나누기 수있다. 마찬가지로, <a href="/wiki/18" title="18">십팔</a> ("<b>삼육</b>", 16<sub>(12)</sub>, 18<sub>(10)</sub>, 30<sub>(6)</sub>)도 십이과 유사하며, 이쪽은 4과 <a href="/wiki/9" title="9">9</a>가 역전한 다음 하나의 자릿수에서 2,3,6,9의 상관 없음 나누기 수있다. 이들 중 육 (2×3), 십이 (3×4), 이십 (4×5)의 세 가지 장방형 수 (rectanglar number)이며, 십이는 중앙에 온다. </p><p>그러나 견해를 바꾸면, 십이진법은 자릿수 감축, 4 분할 과 4의 배수에 의한 설정의 용이 화 (이들은 <a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a>에서도 같은), 게다가 3 분할 수 있는 장점을 가지고있는 반면, 4 (= 2<sup>2</sup>)와 9 (= 3<sup>2</sup>)를 대조 물에 취급 할 수 없는 단점을 가지고있다. 십이진법에서는 "9 분할은 100 (육진법 400 = 십진법 144)까지 기다리지 않으면 안된다." 이와는 반대로, 육진법에서는 자리수가 늘어날 대신에 4와 9 (13<sub>(6)</sub>)를 동일하게 처리할 수 있는 장점을 가지고 있으며, 4 분할 과 9 분할을 동일한 자리수 (100)에서 수행할 수 있다. </p><p>마찬가지로 육진법에서는 3 승수 인 십진법 <a href="/wiki/216" title="216">216</a> (십이진법 160 = 육진법 1000)에서 <a href="/wiki/8" title="8">8</a> 분할 (2<sup>-3</sup>) 과 <a href="/wiki/27" title="27">27</a><sub>(10)</sub> 분할 (3<sup>-3</sup>)이 가능하며, 4 승수 인 십진법 <a href="/wiki/1296" class="mw-redirect" title="1296">1296</a> (십이진법 900 = 육진법 10000)에서 <a href="/wiki/16" title="16">16</a><sub>(10)</sub> 분할 (2<sup>-4</sup>) 과 <a href="/wiki/81" title="81">81</a><sub>(10)</sub> 분할 (3<sup>-4</sup>)이 가능하게 되는 반면, 십이진법에서는 27<sub>(10)</sub> 분할은 십진법 <a href="/wiki/1728" class="mw-redirect" title="1728">1728</a> (십이진법 1000 = 육진법 12000)까지 기다려야한다. 나눗셈도 육진법에서는 3<sup>4</sup>의 <a href="/wiki/%EC%97%AD%EC%88%98" class="mw-redirect" title="역수">역수</a>는 분자가 2<sup>4</sup>이지만, 십이진법에서는 3<sup>4</sup>의 역수는 분자가 2<sup>8</sup>이되어 버린다. </p> <table class="wikitable"> <caption>2의 멱수와 3의 멱수의 곱셈 </caption> <tbody><tr> <th>곱셈</th> <th><a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a></th> <th>십이진법</th> <th><a href="/wiki/%EC%8B%AD%ED%8C%94%EC%A7%84%EB%B2%95" title="십팔진법">십팔진법</a></th> <th><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a></th> <th><a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> </th></tr> <tr> <td>2<sup>2</sup>×3<sup>2</sup></td> <td>4×13 = <b>100</b></td> <td>4×9 = 30</td> <td>4×9 = 20</td> <td>4×9 = 36</td> <td>4×9 = 1G </td></tr> <tr> <td>2<sup><b>4</b></sup>×3<sup>2</sup></td> <td>24×13 = 400</td> <td>14×9 = <b>100</b></td> <td>G×9 = 80</td> <td>16×9 = 144</td> <td>G×9 = 74 </td></tr> <tr> <td>2<sup>3</sup>×3<sup>3</sup></td> <td>12×43 = 1000</td> <td>8×23 = 160</td> <td>8×19 = C0</td> <td>8×27 = 216</td> <td>8×17 = AG </td></tr> <tr> <td>2<sup>2</sup>×3<sup><b>4</b></sup></td> <td>4×213 = 1300</td> <td>4×69 = 230</td> <td>4×49 = <b>100</b></td> <td>4×81 = 324</td> <td>4×41 = G4 </td></tr> <tr> <td>2<sup>4</sup>×3<sup>4</sup></td> <td>24×213 = 10000</td> <td>14×69 = 900</td> <td>G×49 = 400</td> <td>16×81 = 1296</td> <td>G×41 = 34G </td></tr> <tr> <td>2<sup><b>6</b></sup>×3<sup>3</sup></td> <td>144×43 = 12000</td> <td>54×23 = <b>1000</b></td> <td>3A×19 = 560</td> <td>64×27 = 1728</td> <td>34×17 = 468 </td></tr> <tr> <td>2<sup>3</sup>×3<sup><b>6</b></sup></td> <td>12×3213 = 43000</td> <td>8×509 = 3460</td> <td>8×249 = <b>1000</b></td> <td>8×729 = 5832</td> <td>8×1G9 = EBC </td></tr> <tr> <td>2<sup>5</sup>×3<sup>5</sup></td> <td>52×1043 = 100000</td> <td>28×183 = 4600</td> <td>1E×D9 = 1600</td> <td>32×243 = 7776</td> <td>1C×C3 = J8G </td></tr> <tr> <td>2<sup><b>8</b></sup>×3<sup>4</sup></td> <td>1104×213 = 240000</td> <td>194×69 = <b>10000</b></td> <td>E4×49 = 3A00</td> <td>256×81 = 20736</td> <td>CG×41 = 2BGG </td></tr> <tr> <td>2<sup>6</sup>×3<sup>6</sup></td> <td>144×3213 = <b>1000000</b></td> <td>54×509 = 23000</td> <td>3A×249 = 8000</td> <td>64×729 = 46656</td> <td>34×1G9 = 5GCG </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="같이_보기"><span id=".EA.B0.99.EC.9D.B4_.EB.B3.B4.EA.B8.B0"></span>같이 보기</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=5" title="부분 편집: 같이 보기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a></li> <li><a href="/wiki/%EC%9C%A1%EC%8B%AD%EC%A7%84%EB%B2%95" title="육십진법">육십진법</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="외부_링크"><span id=".EC.99.B8.EB.B6.80_.EB.A7.81.ED.81.AC"></span>외부 링크</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=6" title="부분 편집: 외부 링크"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><b><span style="font-size: smaller;" title="언어: 영어">(영어)</span></b> <a rel="nofollow" class="external text" href="http://www.dozenal.org">미국십이진법학회</a></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">원본 주소 "<a dir="ltr" href="https://ko.wikipedia.org/w/index.php?title=십이진법&oldid=37282056">https://ko.wikipedia.org/w/index.php?title=십이진법&oldid=37282056</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%B6%84%EB%A5%98" title="특수:분류">분류</a>: <ul><li><a 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