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class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_no.wikipedia.org&uselang=nb" class=""><span>Doner</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Spesial:Opprett_konto&returnto=Tolvtallsystemet" title="Du oppfordres til å opprette en konto og logge inn, men det er ikke obligatorisk" class=""><span>Opprett konto</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Spesial:Logg_inn&returnto=Tolvtallsystemet" title="Du oppfordres til å logge inn, men det er ikke 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data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Innhold</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flytt til sidefeltet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skjul</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">(Til toppen)</div> </a> </li> <li id="toc-Omregninger" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Omregninger"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Omregninger</span> </div> </a> <ul id="toc-Omregninger-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mengde-_og_måleenheter" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Mengde-_og_måleenheter"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Mengde- og måleenheter</span> </div> </a> <ul id="toc-Mengde-_og_måleenheter-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referanser" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referanser"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Referanser</span> </div> </a> <ul id="toc-Referanser-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="Innhold" 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="Vis/skjul innholdsfortegnelsen" > <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">Vis/skjul innholdsfortegnelsen</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">Tolvtallsystemet</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="Gå til en artikkel på et annet språk. Tilgjengelig på 41 språk" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-41" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">41 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Tolvtalsystemet" title="Tolvtalsystemet – norsk nynorsk" lang="nn" hreflang="nn" data-title="Tolvtalsystemet" data-language-autonym="Norsk nynorsk" data-language-local-name="norsk nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Duodecimal" title="Duodecimal – dansk" lang="da" hreflang="da" data-title="Duodecimal" data-language-autonym="Dansk" data-language-local-name="dansk" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Duodecimala_talsystemet" title="Duodecimala talsystemet – svensk" lang="sv" hreflang="sv" data-title="Duodecimala talsystemet" data-language-autonym="Svenska" data-language-local-name="svensk" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Tylftakerfi" title="Tylftakerfi – islandsk" lang="is" hreflang="is" data-title="Tylftakerfi" data-language-autonym="Íslenska" data-language-local-name="islandsk" class="interlanguage-link-target"><span>Íslenska</span></a></li><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 – arabisk" lang="ar" hreflang="ar" data-title="نظام عد اثنا عشري" data-language-autonym="العربية" data-language-local-name="arabisk" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Si%CC%8Dp-j%C4%AB-ch%C3%ACn-hoat" title="Si̍p-jī-chìn-hoat – minnan" lang="nan" hreflang="nan" data-title="Si̍p-jī-chìn-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Sistema_duodecimal" title="Sistema duodecimal – katalansk" lang="ca" hreflang="ca" data-title="Sistema duodecimal" data-language-autonym="Català" data-language-local-name="katalansk" 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 – tsjekkisk" lang="cs" hreflang="cs" data-title="Dvanáctková soustava" data-language-autonym="Čeština" data-language-local-name="tsjekkisk" 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 – walisisk" lang="cy" hreflang="cy" data-title="Deuddegol" data-language-autonym="Cymraeg" data-language-local-name="walisisk" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Duodezimalsystem" title="Duodezimalsystem – tysk" lang="de" hreflang="de" data-title="Duodezimalsystem" data-language-autonym="Deutsch" data-language-local-name="tysk" class="interlanguage-link-target"><span>Deutsch</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 – estisk" lang="et" hreflang="et" data-title="Kaheteistkümnendsüsteem" data-language-autonym="Eesti" data-language-local-name="estisk" class="interlanguage-link-target"><span>Eesti</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 – gresk" lang="el" hreflang="el" data-title="Δωδεκαδικό σύστημα αρίθμησης" data-language-autonym="Ελληνικά" data-language-local-name="gresk" 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 – engelsk" lang="en" hreflang="en" data-title="Duodecimal" data-language-autonym="English" data-language-local-name="engelsk" 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/Sistema_duodecimal" title="Sistema duodecimal – spansk" lang="es" hreflang="es" data-title="Sistema duodecimal" data-language-autonym="Español" data-language-local-name="spansk" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Dekduuma_sistemo" title="Dekduuma sistemo – esperanto" lang="eo" hreflang="eo" data-title="Dekduuma sistemo" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</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 – baskisk" lang="eu" hreflang="eu" data-title="Zenbaki-sistema hamabitar" data-language-autonym="Euskara" data-language-local-name="baskisk" 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 – persisk" lang="fa" hreflang="fa" data-title="دستگاه اعداد پایه ۱۲" data-language-autonym="فارسی" data-language-local-name="persisk" class="interlanguage-link-target"><span>فارسی</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 – fransk" lang="fr" hreflang="fr" data-title="Système duodécimal" data-language-autonym="Français" data-language-local-name="fransk" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95" title="십이진법 – koreansk" lang="ko" hreflang="ko" data-title="십이진법" data-language-autonym="한국어" data-language-local-name="koreansk" class="interlanguage-link-target"><span>한국어</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 – italiensk" lang="it" hreflang="it" data-title="Sistema numerico duodecimale" data-language-autonym="Italiano" data-language-local-name="italiensk" class="interlanguage-link-target"><span>Italiano</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 – hebraisk" lang="he" hreflang="he" data-title="בסיס דואודצימלי" data-language-autonym="עברית" data-language-local-name="hebraisk" class="interlanguage-link-target"><span>עברית</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 – latvisk" lang="lv" hreflang="lv" data-title="Duodecimālā skaitīšanas sistēma" data-language-autonym="Latviešu" data-language-local-name="latvisk" class="interlanguage-link-target"><span>Latviešu</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 – ungarsk" lang="hu" hreflang="hu" data-title="Tizenkettes számrendszer" data-language-autonym="Magyar" data-language-local-name="ungarsk" class="interlanguage-link-target"><span>Magyar</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 – mirandesisk" lang="mwl" hreflang="mwl" data-title="Sistema de numeraçon duodecimal" data-language-autonym="Mirandés" data-language-local-name="mirandesisk" 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 – nederlandsk" lang="nl" hreflang="nl" data-title="Twaalftallig stelsel" data-language-autonym="Nederlands" data-language-local-name="nederlandsk" class="interlanguage-link-target"><span>Nederlands</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 – japansk" lang="ja" hreflang="ja" data-title="十二進法" data-language-autonym="日本語" data-language-local-name="japansk" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/O%CA%BBn_ikkilik_sanoq_sistemasi" title="Oʻn ikkilik sanoq sistemasi – usbekisk" lang="uz" hreflang="uz" data-title="Oʻn ikkilik sanoq sistemasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="usbekisk" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</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 – polsk" lang="pl" hreflang="pl" data-title="Dwunastkowy system liczbowy" data-language-autonym="Polski" data-language-local-name="polsk" 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 – portugisisk" lang="pt" hreflang="pt" data-title="Sistema de numeração duodecimal" data-language-autonym="Português" data-language-local-name="portugisisk" 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 – rumensk" lang="ro" hreflang="ro" data-title="Sistem duodecimal" data-language-autonym="Română" data-language-local-name="rumensk" 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 – russisk" lang="ru" hreflang="ru" data-title="Двенадцатеричная система счисления" data-language-autonym="Русский" data-language-local-name="russisk" 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 – enkel engelsk" lang="en-simple" hreflang="en-simple" data-title="Duodecimal" data-language-autonym="Simple English" data-language-local-name="enkel engelsk" 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 – slovensk" lang="sl" hreflang="sl" data-title="Dvanajstiški številski sistem" data-language-autonym="Slovenščina" data-language-local-name="slovensk" class="interlanguage-link-target"><span>Slovenščina</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 – finsk" lang="fi" hreflang="fi" data-title="Duodesimaalijärjestelmä" data-language-autonym="Suomi" data-language-local-name="finsk" class="interlanguage-link-target"><span>Suomi</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 – thai" lang="th" hreflang="th" data-title="เลขฐานสิบสอง" data-language-autonym="ไทย" data-language-local-name="thai" 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 – tyrkisk" lang="tr" hreflang="tr" data-title="On ikili sayı sistemi" data-language-autonym="Türkçe" data-language-local-name="tyrkisk" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%94%D0%B2%D0%B0%D0%BD%D0%B0%D0%B4%D1%86%D1%8F%D1%82%D0%BA%D0%BE%D0%B2%D0%B0_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%BD%D1%8F" title="Дванадцяткова система числення – ukrainsk" lang="uk" hreflang="uk" data-title="Дванадцяткова система числення" data-language-autonym="Українська" data-language-local-name="ukrainsk" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%E1%BB%87_th%E1%BA%ADp_nh%E1%BB%8B_ph%C3%A2n" title="Hệ thập nhị phân – vietnamesisk" lang="vi" hreflang="vi" data-title="Hệ thập nhị phân" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamesisk" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E9%80%B2%E5%88%B6" title="十二進制 – klassisk kinesisk" lang="lzh" hreflang="lzh" data-title="十二進制" data-language-autonym="文言" data-language-local-name="klassisk kinesisk" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E9%80%B2%E5%88%B6" title="十二進制 – kantonesisk" lang="yue" hreflang="yue" data-title="十二進制" data-language-autonym="粵語" data-language-local-name="kantonesisk" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8D%81%E4%BA%8C%E8%BF%9B%E5%88%B6" title="十二进制 – kinesisk" lang="zh" hreflang="zh" data-title="十二进制" data-language-autonym="中文" data-language-local-name="kinesisk" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q212177#sitelinks-wikipedia" title="Rediger lenker til artikkelen på andre språk" class="wbc-editpage">Rediger lenker</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Navnerom"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul 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accesskey="e"><span>Rediger kilde</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Tolvtallsystemet&action=history" title="Tidligere sideversjoner av denne siden [h]" accesskey="h"><span>Vis historikk</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sideverktøy"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Verktøy" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Verktøy</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Verktøy</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">flytt til sidefeltet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">skjul</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Flere alternativer" > <div class="vector-menu-heading"> Handlinger </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Tolvtallsystemet"><span>Les</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Tolvtallsystemet&veaction=edit" title="Rediger siden [v]" accesskey="v"><span>Rediger</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Tolvtallsystemet&action=edit" title="Rediger kildekoden for denne siden [e]" accesskey="e"><span>Rediger kilde</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Tolvtallsystemet&action=history"><span>Vis historikk</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Generelt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Spesial:Lenker_hit/Tolvtallsystemet" title="Liste over alle wikisider som lenker hit [j]" accesskey="j"><span>Lenker hit</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Spesial:Relaterte_endringer/Tolvtallsystemet" rel="nofollow" title="Siste endringer i sider som blir lenket fra denne siden [k]" accesskey="k"><span>Relaterte endringer</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=no" title="Last opp filer [u]" accesskey="u"><span>Last opp fil</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Spesial:Spesialsider" title="Liste over alle spesialsider [q]" accesskey="q"><span>Spesialsider</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Tolvtallsystemet&oldid=22040798" title="Permanent lenke til denne versjonen av siden"><span>Permanent lenke</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Tolvtallsystemet&action=info" title="Mer informasjon om denne siden"><span>Sideinformasjon</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Spesial:Siteringshjelp&page=Tolvtallsystemet&id=22040798&wpFormIdentifier=titleform" title="Informasjon om hvordan denne siden kan siteres"><span>Siter denne siden</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Spesial:UrlShortener&url=https%3A%2F%2Fno.wikipedia.org%2Fwiki%2FTolvtallsystemet"><span>Hent forkortet URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Spesial:QrCode&url=https%3A%2F%2Fno.wikipedia.org%2Fwiki%2FTolvtallsystemet"><span>Last ned QR-kode</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Skriv ut / eksporter </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Spesial:DownloadAsPdf&page=Tolvtallsystemet&action=show-download-screen"><span>Last ned som PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Tolvtallsystemet&printable=yes" title="Utskriftsvennlig versjon av denne siden [p]" accesskey="p"><span>Utskriftsvennlig versjon</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> På andre prosjekter </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Duodecimal" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q212177" title="Lenke til koblet dataregisterelement [g]" accesskey="g"><span>Wikidata-element</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Sideverktøy"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Utseende"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Utseende</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">flytt til sidefeltet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skjul</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Fra Wikipedia, den frie encyklopedi</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="nb" dir="ltr"><p><b>Tolvtallsystemet</b> (også kalt <i>duodesimalsystemet</i>) er et <a href="/wiki/Tallsystem" title="Tallsystem">tallsystem</a> med <a href="/wiki/Grunntall" title="Grunntall">grunntall</a> <i>tolv</i>. Tolvtallsystemet trenger tolv sifre: 0 til 9 og ytterligere to sifre som representerer ti og elleve. Ofte brukes A for ti og B for elleve. For å indikere at et tall er skrevet i tolvtallsystemet kan man, der det er hensiktsmessig, føye til 12 med senket skrift etter tallet: 10<sub>12</sub> = 12 (underforstått 12<sub>10</sub>). De første 24 positive heltallene skrives på følgende måte: </p> <table class="wikitable"> <tbody><tr> <th><a href="/wiki/Titallsystemet" title="Titallsystemet">Titallsystemet</a> (n<sub>10</sub>) </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><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> <td>19</td> <td><b>20</b></td> <td>21</td> <td>22</td> <td>23</td> <td>24 </td></tr> <tr> <th>Tolvtallsystemet (n<sub>12</sub>) </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><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> <td>19</td> <td>1A</td> <td>1B</td> <td><b>20</b> </td></tr></tbody></table> <table class="wikitable floatright" style="text-align:right"> <caption>Tolvtallsystemets lille <a href="/wiki/Multiplikasjonstabell" title="Multiplikasjonstabell">multiplikasjonstabell</a> </caption> <tbody><tr> <th>×</th> <th> 1</th> <th> 2</th> <th> 3</th> <th> 4</th> <th> 5</th> <th> 6</th> <th> 7</th> <th> 8</th> <th> 9</th> <th> A</th> <th> B</th> <th> 10 </th></tr> <tr> <th> 1 </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> 2 </th> <td>2</td> <td>4</td> <td>6</td> <td>8</td> <td>A</td> <td>10</td> <td>12</td> <td>14</td> <td>16</td> <td>18</td> <td>1A</td> <td>20 </td></tr> <tr> <th> 3 </th> <td>3</td> <td>6</td> <td>9</td> <td>10</td> <td>13</td> <td>16</td> <td>19</td> <td>20</td> <td>23</td> <td>26</td> <td>29</td> <td>30 </td></tr> <tr> <th> 4 </th> <td>4</td> <td>8</td> <td>10</td> <td>14</td> <td>18</td> <td>20</td> <td>24</td> <td>28</td> <td>30</td> <td>34</td> <td>38</td> <td>40 </td></tr> <tr> <th> 5 </th> <td>5</td> <td>A</td> <td>13</td> <td>18</td> <td>21</td> <td>26</td> <td>2B</td> <td>34</td> <td>39</td> <td>42</td> <td>47</td> <td>50 </td></tr> <tr> <th> 6 </th> <td>6</td> <td>10</td> <td>16</td> <td>20</td> <td>26</td> <td>30</td> <td>36</td> <td>40</td> <td>46</td> <td>50</td> <td>56</td> <td>60 </td></tr> <tr> <th> 7 </th> <td>7</td> <td>12</td> <td>19</td> <td>24</td> <td>2B</td> <td>36</td> <td>41</td> <td>48</td> <td>53</td> <td>5A</td> <td>65</td> <td>70 </td></tr> <tr> <th> 8 </th> <td>8</td> <td>14</td> <td>20</td> <td>28</td> <td>34</td> <td>40</td> <td>48</td> <td>54</td> <td>60</td> <td>68</td> <td>74</td> <td>80 </td></tr> <tr> <th> 9 </th> <td>9</td> <td>16</td> <td>23</td> <td>30</td> <td>39</td> <td>46</td> <td>53</td> <td>60</td> <td>69</td> <td>76</td> <td>83</td> <td>90 </td></tr> <tr> <th> A </th> <td>A</td> <td>18</td> <td>26</td> <td>34</td> <td>42</td> <td>50</td> <td>5A</td> <td>68</td> <td>76</td> <td>84</td> <td>92</td> <td>A0 </td></tr> <tr> <th> B </th> <td>B</td> <td>1A</td> <td>29</td> <td>38</td> <td>47</td> <td>56</td> <td>65</td> <td>74</td> <td>83</td> <td>92</td> <td>A1</td> <td>B0 </td></tr> <tr> <th>10 </th> <td>10</td> <td>20</td> <td>30</td> <td>40</td> <td>50</td> <td>60</td> <td>70</td> <td>80</td> <td>90</td> <td>A0</td> <td>B0</td> <td>100 </td></tr></tbody></table> <p>En fordel med tolvtallsystemet i forhold til <a href="/wiki/Titallsystemet" title="Titallsystemet">titallsystemet</a> er at brøker oftere kan skrives ut med et endelig antall desimaler: </p> <table class="wikitable floatright" style="text-align:right"> <caption>Titall → tolvtall og tolvtall → titall </caption> <tbody><tr> <th>Titall</th> <th>Tolvtall</th> <th></th> <th>Tolvtall</th> <th>Titall </th></tr> <tr> <td>1 </td> <td>1 </td> <td rowspan="7"> </td> <td>1 </td> <td>1 </td></tr> <tr> <td>10 </td> <td>A </td> <td>10 </td> <td>12 </td></tr> <tr> <td>100 </td> <td>84 </td> <td>100 </td> <td>144 </td></tr> <tr> <td>1 000 </td> <td>6B4 </td> <td>1 000 </td> <td>1 728 </td></tr> <tr> <td>10 000 </td> <td>5 954 </td> <td>10 000 </td> <td>20 736 </td></tr> <tr> <td>100 000 </td> <td>49 A54 </td> <td>100 000 </td> <td>248 832 </td></tr> <tr> <td> 1 000 000 </td> <td> 402 854 </td> <td>1 000 000 </td> <td>2 985 984 </td></tr></tbody></table> <table class="wikitable"> <tbody><tr> <th colspan="3">Titallsystemet </th> <th colspan="3">Tolvtallsystemet </th></tr> <tr> <th align="center"><big><style data-mw-deduplicate="TemplateStyles:r21570594">.mw-parser-output .frac{white-space:nowrap}.mw-parser-output .frac .num,.mw-parser-output .frac .den{font-size:80%;line-height:0;vertical-align:super}.mw-parser-output .frac .den{vertical-align:sub}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}</style><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">2</span></span></big> </th> <td><b>0,5</b></td> <td>10/2 = <b>5</b> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">2</span></span></big> </th> <td><b>0;6</b></td> <td>10/2 = <b>6</b> </td></tr> <tr> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">3</span></span></big> </th> <td>0,333333333333... ≈ 0,333</td> <td>10/3 = 3<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">3</span></span> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">3</span></span></big> </th> <td><b>0;4</b></td> <td>10/3 = <b>4</b> </td></tr> <tr> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">4</span></span></big> </th> <td><b>0,25</b></td> <td>10/4 = 2<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">2</span></span> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">4</span></span></big> </th> <td><b>0;3</b></td> <td>10/4 = <b>3</b> </td></tr> <tr> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">5</span></span></big> </th> <td><b>0,2</b></td> <td>10/5 = <b>2</b> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">5</span></span></big> </th> <td>0;249724972497... ≈ 0;24A</td> <td>10/5 = 2<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">2</span>⁄<span class="den">5</span></span> </td></tr> <tr> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">6</span></span></big> </th> <td>0,166666666666... ≈ 0,167</td> <td>10/6 = 1<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">2</span>⁄<span class="den">3</span></span> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">6</span></span></big> </th> <td><b>0;2</b></td> <td>10/6 = <b>2</b> </td></tr> <tr> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">7</span></span></big> </th> <td>0,142857142857… ≈ 0,143</td> <td>10/7 = 1<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">3</span>⁄<span class="den">7</span></span> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">7</span></span></big> </th> <td>0;186A35186A35… ≈ 0;187</td> <td>10/7 = 1<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">5</span>⁄<span class="den">7</span></span> </td></tr> <tr> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">8</span></span></big> </th> <td><b>0,125</b></td> <td>10/8 = 1<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">4</span></span> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">8</span></span></big> </th> <td><b>0;16</b></td> <td>10/8 = 1<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">2</span></span> </td></tr> <tr> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">9</span></span></big> </th> <td>0,111111111111… ≈ 0,111</td> <td>10/9 = 1<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">9</span></span> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">9</span></span></big> </th> <td><b>0;14</b></td> <td>10/9 = 1<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">3</span></span> </td></tr> <tr> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">10</span></span></big> </th> <td><b> 0,1</b></td> <td>10/10 = <b>1</b> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">A</span></span></big> </th> <td>0;1249724972497… ≈ 0;125</td> <td>10/A = 1<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">5</span></span> </td></tr> <tr> <th align="center" style="color:grey"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">11</span></span></big> </th> <td style="color:grey">0,090909090909… ≈ 0;091</td> <td style="color:grey">10/11 = <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">10</span>⁄<span class="den">11</span></span> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">B</span></span></big> </th> <td>0;111111111111… ≈ 0;111</td> <td>10/B = 1<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">B</span></span> </td></tr> <tr> <th align="center" style="color:grey"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">12</span></span></big> </th> <td style="color:grey">0,083333333333… ≈ 0;083</td> <td style="color:grey">10/12 = <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">5</span>⁄<span class="den">6</span></span> </td> <th align="center"><big><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">10</span></span></big> </th> <td><b>0;1</b></td> <td>10/10 = <b>1</b> </td></tr> <tr> <th> </th> <td colspan="2">«<b>,</b>» er desimalt skilletegn. </td> <th> </th> <td colspan="2">«<b>;</b>» er duodesimalt skilletegn. </td></tr> <tr> <th> </th> <td>5 desimalbrøker med et<br />endelig antall desimaler,<br />opp til 3.</td> <td valign="top">3 heltallige<br />kvotienter. </td> <th> </th> <td>7 duodesimalbrøker med et<br />endelig antall duodesimaler,<br />opp til 2.</td> <td valign="top">5 heltallige<br />kvotienter. </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Omregninger">Omregninger</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tolvtallsystemet&veaction=edit&section=1" title="Rediger avsnitt: Omregninger" class="mw-editsection-visualeditor"><span>rediger</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tolvtallsystemet&action=edit&section=1" title="Rediger kildekoden til seksjonen Omregninger"><span>rediger kilde</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>For å konvertere et tall fra tolvtallsystemet til titallsystemet multipliserer man hvert siffer med en <a href="/wiki/Potens_(matematikk)" title="Potens (matematikk)">potens</a> av tolv og adderer, som vist i eksempelet med tallet 314<sub>12</sub> nedenfor: </p> <pre><b>3</b>×12<sup>2</sup> + <b>1</b>×12<sup>1</sup> + <b>4</b>×12<sup>0</sup> = 3×144 + 1×12 + 4×1 = 448. </pre> <p>Tallet 314<sub>12</sub> i tolvtallsystemet blir altså 448 i titallsystemet. </p><p>For å konvertere et tall fra titallsystemet til tolvtallsystemet må man gjentatte ganger utføre <a href="/wiki/Divisjon_(matematikk)#Heltallsdivisjon" title="Divisjon (matematikk)">heltallsdivisjon</a> med grunntallet 12 og merke seg resten, som vist i eksempelet med tallet 448 nedenfor: </p> <table class="wikitable" style="text-align:center"> <tbody><tr> <th>Heltalldivisjon</th> <th>Rest </th></tr> <tr> <td>448/12 = 37</td> <td align="center"><b>4</b> </td></tr> <tr> <td>37/12 = 3</td> <td align="center"><b>1</b> </td></tr> <tr> <td> 3/12 = 0</td> <td align="center"><b>3</b> </td></tr> <tr> <td></td> <td align="center"><b>↑</b> </td></tr></tbody></table> <p>Så begynner man med restene nedenfra. Tallet 448 blir dermed 314<sub>12</sub> i tolvtallsystemet. </p> <div class="mw-heading mw-heading2"><h2 id="Mengde-_og_måleenheter"><span id="Mengde-_og_m.C3.A5leenheter"></span>Mengde- og måleenheter</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tolvtallsystemet&veaction=edit&section=2" title="Rediger avsnitt: Mengde- og måleenheter" class="mw-editsection-visualeditor"><span>rediger</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tolvtallsystemet&action=edit&section=2" title="Rediger kildekoden til seksjonen Mengde- og måleenheter"><span>rediger kilde</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Flere mengde- og måleenheter er relatert til tolvtallsystemet: </p> <ul><li><a href="/wiki/Dusin" title="Dusin">dusin</a> / <a href="/wiki/Tylft" title="Tylft">tylft</a> = 12</li> <li><a href="/wiki/Skokk" title="Skokk">skokk</a> = 5 dusin = 60</li> <li><a href="/wiki/Storhundre" title="Storhundre">storhundre</a> = 10 tylfter = 120</li> <li><a href="/wiki/Gross" title="Gross">gross</a> = 12 dusin = 144 = 100<sub>12</sub></li> <li><a href="/wiki/Tomme" title="Tomme">tomme</a> = <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">12</span></span> <a href="/wiki/Fot_(m%C3%A5leenhet)" title="Fot (måleenhet)">fot</a></li> <li><a href="/wiki/Linje_(m%C3%A5l)" title="Linje (mål)">linje</a> = <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">12</span></span> tomme</li> <li><a href="/wiki/Skruppel_(m%C3%A5l)" title="Skruppel (mål)">skruppel</a> = <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">12</span></span> linje</li> <li><a href="/w/index.php?title=Punkt_(m%C3%A5l)&action=edit&redlink=1" class="new" title="Punkt (mål) (ikke skrevet ennå)">punkt</a> = <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r21570594"><span class="frac" role="math"><span class="num">1</span>⁄<span class="den">12</span></span> skruppel<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><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></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referanser">Referanser</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tolvtallsystemet&veaction=edit&section=3" title="Rediger avsnitt: Referanser" class="mw-editsection-visualeditor"><span>rediger</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tolvtallsystemet&action=edit&section=3" title="Rediger kildekoden til seksjonen Referanser"><span>rediger kilde</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><b><a href="#cite_ref-1">^</a></b> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.sizes.com/units/punkt.htm">Sizes.com - Punkt</a></span> </li> <li id="cite_note-2"><b><a href="#cite_ref-2">^</a></b> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.patroner.no/nolengde.htm">Gamle norske lengdemål</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20090626022530/http://www.patroner.no/nolengde.htm">Arkivert</a> 26. juni 2009 hos <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.</span> </li> </ol></div> <div class="navbox-styles"><style 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