CINXE.COM

Sistema octal - Wikipedia, la enciclopedia libre

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available" lang="es" dir="ltr"> <head> <meta charset="UTF-8"> <title>Sistema octal - Wikipedia, la enciclopedia libre</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )eswikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":[",\t."," \t,"],"wgDigitTransformTable":["",""], "wgDefaultDateFormat":"dmy","wgMonthNames":["","enero","febrero","marzo","abril","mayo","junio","julio","agosto","septiembre","octubre","noviembre","diciembre"],"wgRequestId":"58600388-c2f3-483b-91dd-08a4c023edf5","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Sistema_octal","wgTitle":"Sistema octal","wgCurRevisionId":163515850,"wgRevisionId":163515850,"wgArticleId":17580,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Sistemas de numeración posicional","Aritmética computacional"],"wgPageViewLanguage":"es","wgPageContentLanguage":"es","wgPageContentModel":"wikitext","wgRelevantPageName":"Sistema_octal","wgRelevantArticleId":17580,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault": true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"es","pageLanguageDir":"ltr","pageVariantFallbacks":"es"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":10000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q76463","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":true,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.gadget.imagenesinfobox":"ready","ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready", "ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.math.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["site","mediawiki.page.ready","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.a-commons-directo","ext.gadget.ReferenceTooltips","ext.gadget.refToolbar","ext.gadget.switcher","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022", "ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=es&amp;modules=ext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&amp;only=styles&amp;skin=vector-2022"> <script async="" src="/w/load.php?lang=es&amp;modules=startup&amp;only=scripts&amp;raw=1&amp;skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=es&amp;modules=ext.gadget.imagenesinfobox&amp;only=styles&amp;skin=vector-2022"> <link rel="stylesheet" href="/w/load.php?lang=es&amp;modules=site.styles&amp;only=styles&amp;skin=vector-2022"> <noscript><link rel="stylesheet" href="/w/load.php?lang=es&amp;modules=noscript&amp;only=styles&amp;skin=vector-2022"></noscript> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Sistema octal - Wikipedia, la enciclopedia libre"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//es.m.wikipedia.org/wiki/Sistema_octal"> <link rel="alternate" type="application/x-wiki" title="Editar" href="/w/index.php?title=Sistema_octal&amp;action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (es)"> <link rel="EditURI" type="application/rsd+xml" href="//es.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://es.wikipedia.org/wiki/Sistema_octal"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.es"> <link rel="alternate" type="application/atom+xml" title="Canal Atom de Wikipedia" href="/w/index.php?title=Especial:CambiosRecientes&amp;feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Sistema_octal rootpage-Sistema_octal skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Ir al contenido</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Sitio"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Menú principal" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Menú principal</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Menú principal</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">mover a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">ocultar</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navegación </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Wikipedia:Portada" title="Visitar la página principal [z]" accesskey="z"><span>Portada</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Portal:Comunidad" title="Acerca del proyecto, lo que puedes hacer, dónde encontrar información"><span>Portal de la comunidad</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Portal:Actualidad" title="Encuentra información de contexto sobre acontecimientos actuales"><span>Actualidad</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Especial:CambiosRecientes" title="Lista de cambios recientes en la wiki [r]" accesskey="r"><span>Cambios recientes</span></a></li><li id="n-newpages" class="mw-list-item"><a href="/wiki/Especial:P%C3%A1ginasNuevas"><span>Páginas nuevas</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Especial:Aleatoria" title="Cargar una página al azar [x]" accesskey="x"><span>Página aleatoria</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Ayuda:Contenidos" title="El lugar para aprender"><span>Ayuda</span></a></li><li id="n-bug_in_article" class="mw-list-item"><a href="/wiki/Wikipedia:Informes_de_error"><span>Notificar un error</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Wikipedia:Portada" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="La enciclopedia libre" src="/static/images/mobile/copyright/wikipedia-tagline-es.svg" width="120" height="13" style="width: 7.5em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Especial:Buscar" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Buscar en este wiki [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Buscar</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Buscar en Wikipedia" aria-label="Buscar en Wikipedia" autocapitalize="sentences" title="Buscar en este wiki [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Especial:Buscar"> </div> <button class="cdx-button cdx-search-input__end-button">Buscar</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Herramientas personales"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Apariencia"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page&#039;s font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Apariencia" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Apariencia</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_es.wikipedia.org&amp;uselang=es" class=""><span>Donaciones</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=Especial:Crear_una_cuenta&amp;returnto=Sistema+octal" title="Te recomendamos crear una cuenta e iniciar sesión; sin embargo, no es obligatorio" class=""><span>Crear una cuenta</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=Especial:Entrar&amp;returnto=Sistema+octal" title="Te recomendamos iniciar sesión, aunque no es obligatorio [o]" accesskey="o" class=""><span>Acceder</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="Más opciones" > <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="Herramientas personales" > <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">Herramientas personales</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Menú de usuario" > <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&amp;utm_medium=sidebar&amp;utm_campaign=C13_es.wikipedia.org&amp;uselang=es"><span>Donaciones</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Crear_una_cuenta&amp;returnto=Sistema+octal" title="Te recomendamos crear una cuenta e iniciar sesión; sin embargo, no es obligatorio"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Crear una cuenta</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Entrar&amp;returnto=Sistema+octal" title="Te recomendamos iniciar sesión, aunque no es obligatorio [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Acceder</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"> Páginas para editores desconectados <a href="/wiki/Ayuda:Introducci%C3%B3n" aria-label="Obtenga más información sobre editar"><span>más información</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/Especial:MisContribuciones" title="Una lista de modificaciones hechas desde esta dirección IP [y]" accesskey="y"><span>Contribuciones</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Especial:MiDiscusi%C3%B3n" title="Discusión sobre ediciones hechas desde esta dirección IP [n]" accesskey="n"><span>Discusión</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"><!-- CentralNotice --></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="Sitio"> <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="Contenidos" 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">Contenidos</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mover a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ocultar</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">Inicio</div> </a> </li> <li id="toc-Sistema_de_numeración_octal" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Sistema_de_numeración_octal"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Sistema de numeración octal</span> </div> </a> <ul id="toc-Sistema_de_numeración_octal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fracciones" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Fracciones"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Fracciones</span> </div> </a> <ul id="toc-Fracciones-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Métodos_de_conversión" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Métodos_de_conversión"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Métodos de conversión</span> </div> </a> <button aria-controls="toc-Métodos_de_conversión-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Alternar subsección Métodos de conversión</span> </button> <ul id="toc-Métodos_de_conversión-sublist" class="vector-toc-list"> <li id="toc-Decimal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Decimal"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Decimal</span> </div> </a> <ul id="toc-Decimal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Binario" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Binario"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Binario</span> </div> </a> <ul id="toc-Binario-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Tabla_de_conversión_entre_decimal,_binario,_hexadecimal_y_octal" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tabla_de_conversión_entre_decimal,_binario,_hexadecimal_y_octal"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Tabla de conversión entre decimal, binario, hexadecimal y octal</span> </div> </a> <ul id="toc-Tabla_de_conversión_entre_decimal,_binario,_hexadecimal_y_octal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Véase_también" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Véase_también"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Véase también</span> </div> </a> <ul id="toc-Véase_también-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Enlaces_externos" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Enlaces_externos"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Enlaces externos</span> </div> </a> <ul id="toc-Enlaces_externos-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="Contenidos" 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="Cambiar a la tabla de contenidos" > <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">Cambiar a la tabla de contenidos</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">Sistema octal</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="Ir a un artículo en otro idioma. Disponible en 64 idiomas" > <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-64" 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">64 idiomas</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%AB%D9%85%D8%A7%D9%86%D9%8A" title="نظام عد ثماني (árabe)" lang="ar" hreflang="ar" data-title="نظام عد ثماني" data-language-autonym="العربية" data-language-local-name="árabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/S%C9%99kkizlik_say_sistemi" title="Səkkizlik say sistemi (azerbaiyano)" lang="az" hreflang="az" data-title="Səkkizlik say sistemi" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaiyano" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9E%D1%81%D0%BC%D0%B8%D1%87%D0%BD%D0%B0_%D0%B1%D1%80%D0%BE%D0%B9%D0%BD%D0%B0_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0" title="Осмична бройна система (búlgaro)" lang="bg" hreflang="bg" data-title="Осмична бройна система" data-language-autonym="Български" data-language-local-name="búlgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%85%E0%A6%B7%E0%A7%8D%E0%A6%9F%E0%A6%95_%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE_%E0%A6%AA%E0%A6%A6%E0%A7%8D%E0%A6%A7%E0%A6%A4%E0%A6%BF" title="অষ্টক সংখ্যা পদ্ধতি (bengalí)" lang="bn" hreflang="bn" data-title="অষ্টক সংখ্যা পদ্ধতি" data-language-autonym="বাংলা" data-language-local-name="bengalí" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Oktalni_sistem" title="Oktalni sistem (bosnio)" lang="bs" hreflang="bs" data-title="Oktalni sistem" data-language-autonym="Bosanski" data-language-local-name="bosnio" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Sistema_octal" title="Sistema octal (catalán)" lang="ca" hreflang="ca" data-title="Sistema octal" data-language-autonym="Català" data-language-local-name="catalán" 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/Osmi%C4%8Dkov%C3%A1_soustava" title="Osmičková soustava (checo)" lang="cs" hreflang="cs" data-title="Osmičková soustava" data-language-autonym="Čeština" data-language-local-name="checo" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Oktale_talsystem" title="Oktale talsystem (danés)" lang="da" hreflang="da" data-title="Oktale talsystem" data-language-autonym="Dansk" data-language-local-name="danés" 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/Oktalsystem" title="Oktalsystem (alemán)" lang="de" hreflang="de" data-title="Oktalsystem" data-language-autonym="Deutsch" data-language-local-name="alemán" 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%9F%CE%BA%CF%84%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="Οκταδικό σύστημα αρίθμησης (griego)" lang="el" hreflang="el" data-title="Οκταδικό σύστημα αρίθμησης" data-language-autonym="Ελληνικά" data-language-local-name="griego" 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/Octal" title="Octal (inglés)" lang="en" hreflang="en" data-title="Octal" data-language-autonym="English" data-language-local-name="inglés" 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/Okuma_sistemo" title="Okuma sistemo (esperanto)" lang="eo" hreflang="eo" data-title="Okuma sistemo" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kaheksands%C3%BCsteem" title="Kaheksandsüsteem (estonio)" lang="et" hreflang="et" data-title="Kaheksandsüsteem" data-language-autonym="Eesti" data-language-local-name="estonio" 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_zortzitar" title="Zenbaki-sistema zortzitar (euskera)" lang="eu" hreflang="eu" data-title="Zenbaki-sistema zortzitar" data-language-autonym="Euskara" data-language-local-name="euskera" 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%B8" title="دستگاه اعداد پایه ۸ (persa)" lang="fa" hreflang="fa" data-title="دستگاه اعداد پایه ۸" data-language-autonym="فارسی" data-language-local-name="persa" 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/Oktaalij%C3%A4rjestelm%C3%A4" title="Oktaalijärjestelmä (finés)" lang="fi" hreflang="fi" data-title="Oktaalijärjestelmä" data-language-autonym="Suomi" data-language-local-name="finés" 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_octal" title="Système octal (francés)" lang="fr" hreflang="fr" data-title="Système octal" data-language-autonym="Français" data-language-local-name="francés" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/C%C3%B3digo_octal" title="Código octal (gallego)" lang="gl" hreflang="gl" data-title="Código octal" data-language-autonym="Galego" data-language-local-name="gallego" class="interlanguage-link-target"><span>Galego</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%90%D7%95%D7%A7%D7%98%D7%9C%D7%99" title="בסיס אוקטלי (hebreo)" lang="he" hreflang="he" data-title="בסיס אוקטלי" data-language-autonym="עברית" data-language-local-name="hebreo" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%85%E0%A4%B7%E0%A5%8D%E0%A4%9F%E0%A4%BE%E0%A4%A7%E0%A4%BE%E0%A4%B0%E0%A5%80" title="अष्टाधारी (hindi)" lang="hi" hreflang="hi" data-title="अष्टाधारी" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Oktalni_brojevni_sustav" title="Oktalni brojevni sustav (croata)" lang="hr" hreflang="hr" data-title="Oktalni brojevni sustav" data-language-autonym="Hrvatski" data-language-local-name="croata" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Sist%C3%A8m_oktal" title="Sistèm oktal (criollo haitiano)" lang="ht" hreflang="ht" data-title="Sistèm oktal" data-language-autonym="Kreyòl ayisyen" data-language-local-name="criollo haitiano" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Nyolcas_sz%C3%A1mrendszer" title="Nyolcas számrendszer (húngaro)" lang="hu" hreflang="hu" data-title="Nyolcas számrendszer" data-language-autonym="Magyar" data-language-local-name="húngaro" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%80%D5%A1%D5%B7%D5%BE%D5%A1%D6%80%D5%AF%D5%B4%D5%A1%D5%B6_%D5%B8%D6%82%D5%A9%D5%A1%D5%AF%D5%A1%D5%B6_%D5%B0%D5%A1%D5%B4%D5%A1%D5%AF%D5%A1%D6%80%D5%A3" title="Հաշվարկման ութական համակարգ (armenio)" lang="hy" hreflang="hy" data-title="Հաշվարկման ութական համակարգ" data-language-autonym="Հայերեն" data-language-local-name="armenio" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Oktal" title="Oktal (indonesio)" lang="id" hreflang="id" data-title="Oktal" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesio" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Oktala_nombrosistemo" title="Oktala nombrosistemo (ido)" lang="io" hreflang="io" data-title="Oktala nombrosistemo" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/%C3%81ttundakerfi" title="Áttundakerfi (islandés)" lang="is" hreflang="is" data-title="Áttundakerfi" data-language-autonym="Íslenska" data-language-local-name="islandés" 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_ottale" title="Sistema numerico ottale (italiano)" lang="it" hreflang="it" data-title="Sistema numerico ottale" data-language-autonym="Italiano" data-language-local-name="italiano" 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%85%AB%E9%80%B2%E6%B3%95" title="八進法 (japonés)" lang="ja" hreflang="ja" data-title="八進法" data-language-autonym="日本語" data-language-local-name="japonés" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Sistem_wilangan_oktal" title="Sistem wilangan oktal (javanés)" lang="jv" hreflang="jv" data-title="Sistem wilangan oktal" data-language-autonym="Jawa" data-language-local-name="javanés" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%8C%94%EC%A7%84%EB%B2%95" title="팔진법 (coreano)" lang="ko" hreflang="ko" data-title="팔진법" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Systema_numericum_octale" title="Systema numericum octale (latín)" lang="la" hreflang="la" data-title="Systema numericum octale" data-language-autonym="Latina" data-language-local-name="latín" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/A%C5%A1tuntain%C4%97_skai%C4%8Diavimo_sistema" title="Aštuntainė skaičiavimo sistema (lituano)" lang="lt" hreflang="lt" data-title="Aštuntainė skaičiavimo sistema" data-language-autonym="Lietuvių" data-language-local-name="lituano" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Okt%C4%81l%C4%81_skait%C4%AB%C5%A1anas_sist%C4%93ma" title="Oktālā skaitīšanas sistēma (letón)" lang="lv" hreflang="lv" data-title="Oktālā skaitīšanas sistēma" data-language-autonym="Latviešu" data-language-local-name="letón" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9E%D1%81%D0%BC%D0%B5%D1%80%D0%B5%D1%87%D0%B5%D0%BD_%D0%B1%D1%80%D0%BE%D0%B5%D0%BD_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC" title="Осмеречен броен систем (macedonio)" lang="mk" hreflang="mk" data-title="Осмеречен броен систем" data-language-autonym="Македонски" data-language-local-name="macedonio" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Sistema_otal" title="Sistema otal (mirandés)" lang="mwl" hreflang="mwl" data-title="Sistema otal" data-language-autonym="Mirandés" data-language-local-name="mirandés" 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/Octaal_talstelsel" title="Octaal talstelsel (neerlandés)" lang="nl" hreflang="nl" data-title="Octaal talstelsel" data-language-autonym="Nederlands" data-language-local-name="neerlandés" 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/%C3%85ttetalssystemet" title="Åttetalssystemet (noruego nynorsk)" lang="nn" hreflang="nn" data-title="Åttetalssystemet" data-language-autonym="Norsk nynorsk" data-language-local-name="noruego nynorsk" 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/%C3%85ttetallsystemet" title="Åttetallsystemet (noruego bokmal)" lang="nb" hreflang="nb" data-title="Åttetallsystemet" data-language-autonym="Norsk bokmål" data-language-local-name="noruego bokmal" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/Letlase_la_seswai" title="Letlase la seswai (sotho septentrional)" lang="nso" hreflang="nso" data-title="Letlase la seswai" data-language-autonym="Sesotho sa Leboa" data-language-local-name="sotho septentrional" class="interlanguage-link-target"><span>Sesotho sa Leboa</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/%C3%93semkowy_system_liczbowy" title="Ósemkowy system liczbowy (polaco)" lang="pl" hreflang="pl" data-title="Ósemkowy system liczbowy" data-language-autonym="Polski" data-language-local-name="polaco" 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_octal" title="Sistema octal (portugués)" lang="pt" hreflang="pt" data-title="Sistema octal" data-language-autonym="Português" data-language-local-name="portugués" 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_octal" title="Sistem octal (rumano)" lang="ro" hreflang="ro" data-title="Sistem octal" data-language-autonym="Română" data-language-local-name="rumano" 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%92%D0%BE%D1%81%D1%8C%D0%BC%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="Восьмеричная система счисления (ruso)" lang="ru" hreflang="ru" data-title="Восьмеричная система счисления" data-language-autonym="Русский" data-language-local-name="ruso" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%A7%D9%8E%D9%BA%D9%86_%D9%88%D8%A7%D8%B1%D9%8A_%D9%BE%D9%8A%DA%99%D9%87%D9%87_%D8%AC%D9%88_%D9%86%D8%B8%D8%A7%D9%85" title="اَٺن واري پيڙهه جو نظام (sindi)" lang="sd" hreflang="sd" data-title="اَٺن واري پيڙهه جو نظام" data-language-autonym="سنڌي" data-language-local-name="sindi" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Oktalni_sistem" title="Oktalni sistem (serbocroata)" lang="sh" hreflang="sh" data-title="Oktalni sistem" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbocroata" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Octal" title="Octal (Simple English)" lang="en-simple" hreflang="en-simple" data-title="Octal" 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-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Osmi%C4%8Dkov%C3%A1_s%C3%BAstava" title="Osmičková sústava (eslovaco)" lang="sk" hreflang="sk" data-title="Osmičková sústava" data-language-autonym="Slovenčina" data-language-local-name="eslovaco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-skr mw-list-item"><a href="https://skr.wikipedia.org/wiki/%D8%A2%DA%A9%D9%B9%D9%84_%D9%86%D9%85%D8%A8%D8%B1_%D8%B3%D8%B3%D9%B9%D9%85" title="آکٹل نمبر سسٹم (Saraiki)" lang="skr" hreflang="skr" data-title="آکٹل نمبر سسٹم" data-language-autonym="سرائیکی" data-language-local-name="Saraiki" class="interlanguage-link-target"><span>سرائیکی</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Sistemi_oktal" title="Sistemi oktal (albanés)" lang="sq" hreflang="sq" data-title="Sistemi oktal" data-language-autonym="Shqip" data-language-local-name="albanés" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9E%D0%BA%D1%82%D0%B0%D0%BB%D0%BD%D0%B8_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC" title="Октални систем (serbio)" lang="sr" hreflang="sr" data-title="Октални систем" data-language-autonym="Српски / srpski" data-language-local-name="serbio" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Oktala_talsystemet" title="Oktala talsystemet (sueco)" lang="sv" hreflang="sv" data-title="Oktala talsystemet" data-language-autonym="Svenska" data-language-local-name="sueco" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%8E%E0%AE%A3%E0%AF%8D%E0%AE%A3%E0%AF%86%E0%AE%A3%E0%AF%8D" title="எண்ணெண் (tamil)" lang="ta" hreflang="ta" data-title="எண்ணெண்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</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%B9%81%E0%B8%9B%E0%B8%94" title="เลขฐานแปด (tailandés)" lang="th" hreflang="th" data-title="เลขฐานแปด" data-language-autonym="ไทย" data-language-local-name="tailandés" 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/Sekizli_say%C4%B1_sistemi" title="Sekizli sayı sistemi (turco)" lang="tr" hreflang="tr" data-title="Sekizli sayı sistemi" data-language-autonym="Türkçe" data-language-local-name="turco" 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%92%D1%96%D1%81%D1%96%D0%BC%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="Вісімкова система числення (ucraniano)" lang="uk" hreflang="uk" data-title="Вісімкова система числення" data-language-autonym="Українська" data-language-local-name="ucraniano" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%A7%D8%B3%D8%A7%D8%B3_%D8%A2%D9%B9%DA%BE_%DA%A9%D8%A7_%D9%86%D8%B8%D8%A7%D9%85" title="اساس آٹھ کا نظام (urdu)" lang="ur" hreflang="ur" data-title="اساس آٹھ کا نظام" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Sakkizlik_sanoq_sistemasi" title="Sakkizlik sanoq sistemasi (uzbeko)" lang="uz" hreflang="uz" data-title="Sakkizlik sanoq sistemasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeko" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%E1%BB%87_b%C3%A1t_ph%C3%A2n" title="Hệ bát phân (vietnamita)" lang="vi" hreflang="vi" data-title="Hệ bát phân" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%85%AB%E8%BF%9B%E5%88%B6" title="八进制 (chino wu)" lang="wuu" hreflang="wuu" data-title="八进制" data-language-autonym="吴语" data-language-local-name="chino wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%85%AB%E8%BF%9B%E5%88%B6" title="八进制 (chino)" lang="zh" hreflang="zh" data-title="八进制" data-language-autonym="中文" data-language-local-name="chino" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%85%AB%E9%80%B2%E5%88%B6" title="八進制 (Literary Chinese)" lang="lzh" hreflang="lzh" data-title="八進制" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Pat-ch%C3%ACn-hoat" title="Pat-chìn-hoat (chino min nan)" lang="nan" hreflang="nan" data-title="Pat-chìn-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="chino min nan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%85%AB%E9%80%B2%E5%88%B6" title="八進制 (cantonés)" lang="yue" hreflang="yue" data-title="八進制" data-language-autonym="粵語" data-language-local-name="cantonés" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q76463#sitelinks-wikipedia" title="Editar enlaces interlingüísticos" class="wbc-editpage">Editar enlaces</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="Espacios de nombres"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Sistema_octal" title="Ver la página de contenido [c]" accesskey="c"><span>Artículo</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Discusi%C3%B3n:Sistema_octal" rel="discussion" title="Discusión acerca de la página [t]" accesskey="t"><span>Discusión</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Cambiar variante de idioma" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">español</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Vistas"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Sistema_octal"><span>Leer</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Sistema_octal&amp;action=edit" title="Editar esta página [e]" accesskey="e"><span>Editar</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Sistema_octal&amp;action=history" title="Versiones anteriores de esta página [h]" accesskey="h"><span>Ver historial</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Página de herramientas"> <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="Herramientas" > <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">Herramientas</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">Herramientas</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mover a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ocultar</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Más opciones" > <div class="vector-menu-heading"> Acciones </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/Sistema_octal"><span>Leer</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Sistema_octal&amp;action=edit" title="Editar esta página [e]" accesskey="e"><span>Editar</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Sistema_octal&amp;action=history"><span>Ver historial</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> General </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Especial:LoQueEnlazaAqu%C3%AD/Sistema_octal" title="Lista de todas las páginas de la wiki que enlazan aquí [j]" accesskey="j"><span>Lo que enlaza aquí</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Especial:CambiosEnEnlazadas/Sistema_octal" rel="nofollow" title="Cambios recientes en las páginas que enlazan con esta [k]" accesskey="k"><span>Cambios en enlazadas</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=es" title="Subir archivos [u]" accesskey="u"><span>Subir archivo</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Especial:P%C3%A1ginasEspeciales" title="Lista de todas las páginas especiales [q]" accesskey="q"><span>Páginas especiales</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Sistema_octal&amp;oldid=163515850" title="Enlace permanente a esta versión de la página"><span>Enlace permanente</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Sistema_octal&amp;action=info" title="Más información sobre esta página"><span>Información de la página</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Especial:Citar&amp;page=Sistema_octal&amp;id=163515850&amp;wpFormIdentifier=titleform" title="Información sobre cómo citar esta página"><span>Citar esta página</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Especial:Acortador_de_URL&amp;url=https%3A%2F%2Fes.wikipedia.org%2Fwiki%2FSistema_octal"><span>Obtener URL acortado</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Especial:QrCode&amp;url=https%3A%2F%2Fes.wikipedia.org%2Fwiki%2FSistema_octal"><span>Descargar código QR</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"> Imprimir/exportar </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Especial:Libro&amp;bookcmd=book_creator&amp;referer=Sistema+octal"><span>Crear un libro</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Especial:DownloadAsPdf&amp;page=Sistema_octal&amp;action=show-download-screen"><span>Descargar como PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Sistema_octal&amp;printable=yes" title="Versión imprimible de esta página [p]" accesskey="p"><span>Versión para imprimir</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"> En otros proyectos </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q76463" title="Enlace al elemento conectado del repositorio de datos [g]" accesskey="g"><span>Elemento de Wikidata</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="Página de herramientas"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Apariencia"> <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">Apariencia</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mover a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ocultar</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">De Wikipedia, la enciclopedia libre</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="es" dir="ltr"><p>El <b>sistema octal</b> es el <a href="/wiki/Sistema_de_numeraci%C3%B3n" title="Sistema de numeración">sistema de numeración</a> posicional cuya base es igual <a href="/wiki/Ocho" title="Ocho">8</a>, utilizando los dígitos indio arábigos: 0, 1, 2, 3, 4, 5, 6, 7. En <a href="/wiki/Inform%C3%A1tica" title="Informática">informática</a> a veces se utiliza la numeración octal en vez de la <a href="/wiki/Sistema_hexadecimal" title="Sistema hexadecimal">hexadecimal</a>. Tiene la ventaja de que no requiere utilizar otros símbolos diferentes de los dígitos. Sin embargo, para trabajar con <a href="/wiki/Byte" title="Byte">bytes</a> o conjuntos de ellos, asumiendo que un byte es una <a href="/wiki/Palabra_(computaci%C3%B3n)" class="mw-redirect" title="Palabra (computación)">palabra</a> de 8 <a href="/wiki/Bit" title="Bit">bits</a>, suele ser más cómodo el <a href="/wiki/Sistema_hexadecimal" title="Sistema hexadecimal">sistema hexadecimal</a>, por cuanto todo byte así definido es completamente representable por dos <a href="/wiki/Sistema_hexadecimal" title="Sistema hexadecimal">dígitos hexadecimales</a>. </p><p>Para sacar de sistema de numeración octagonal a decimal se hace así. </p><p>10001 (en sistema de numeración octagonal) se comienza desde la derecha a la izquierda,se pone primero el 1, luego lo multiplicamos por 8 y elevamos el 8 primero por 0 (recordemos que sí elevamos por 0 siempre es 1) a continuación es por 1 luego por 2 y así hasta llegar a 4, resolvemos las elevaciones, a continuación multiplicamos y finalmente sumamos y lo convertimos a sistema de numeración decimal. </p><p>Se representa así </p><p>10001=1x8<sup>0</sup> +0x8<sup>1</sup>+0x8<sup>2</sup>+0x8<sup>3</sup>+1x8<sup>4</sup>. . =1x1+0x8+0x16+0x64+0x512+1x4096 . =1+0+0+4096 . =4097. </p><p><br /> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Sistema_de_numeración_octal"><span id="Sistema_de_numeraci.C3.B3n_octal"></span>Sistema de numeración octal</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sistema_octal&amp;action=edit&amp;section=1" title="Editar sección: Sistema de numeración octal"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>El sistema de numeración octal es un sistema de numeración en base 8, una base que es potencia exacta de 2 o de la numeración binaria. Esta característica hace que la conversión a binario o viceversa sea bastante simple. El sistema octal usa 8 dígitos (0, 1, 2, 3, 4, 5, 6, 7) y cada dígito tiene el mismo valor que en el <a href="/wiki/Sistema_de_numeraci%C3%B3n_decimal" title="Sistema de numeración decimal">sistema de numeración decimal</a>. </p><p>El teorema fundamental aplicado al sistema octal sería el siguiente: </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{matrix}\!\!\!\!\!\!N=d_{n}\ldots d_{1}d_{0},d_{-1}\ldots d_{-k}&amp;=&amp;\\&amp;\\d_{n}\cdot 8^{n}+\ldots +d_{1}\cdot 8^{1}+d_{0}\cdot 8^{0},+d_{-1}\cdot 8^{-1}+\ldots +d_{-k}\cdot 8^{-k}&amp;=&amp;\end{matrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mspace width="negativethinmathspace" /> <mspace width="negativethinmathspace" /> <mspace width="negativethinmathspace" /> <mspace width="negativethinmathspace" /> <mspace width="negativethinmathspace" /> <mspace width="negativethinmathspace" /> <mi>N</mi> <mo>=</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>&#x2026;<!-- … --></mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> <mo>&#x2026;<!-- … --></mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> </mrow> </msub> </mtd> <mtd> <mo>=</mo> </mtd> <mtd /> </mtr> <mtr> <mtd /> <mtd /> </mtr> <mtr> <mtd> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>+</mo> <mo>&#x2026;<!-- … --></mo> <mo>+</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> <mo>,</mo> <mo>+</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mo>&#x2026;<!-- … --></mo> <mo>+</mo> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> </mrow> </msup> </mtd> <mtd> <mo>=</mo> </mtd> <mtd /> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{matrix}\!\!\!\!\!\!N=d_{n}\ldots d_{1}d_{0},d_{-1}\ldots d_{-k}&amp;=&amp;\\&amp;\\d_{n}\cdot 8^{n}+\ldots +d_{1}\cdot 8^{1}+d_{0}\cdot 8^{0},+d_{-1}\cdot 8^{-1}+\ldots +d_{-k}\cdot 8^{-k}&amp;=&amp;\end{matrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cfa748a58cabfb01c8ec8efcbb72a7caeecd8f3d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.171ex; width:66.002ex; height:9.509ex;" alt="{\displaystyle {\begin{matrix}\!\!\!\!\!\!N=d_{n}\ldots d_{1}d_{0},d_{-1}\ldots d_{-k}&amp;=&amp;\\&amp;\\d_{n}\cdot 8^{n}+\ldots +d_{1}\cdot 8^{1}+d_{0}\cdot 8^{0},+d_{-1}\cdot 8^{-1}+\ldots +d_{-k}\cdot 8^{-k}&amp;=&amp;\end{matrix}}}"></span></dd></dl></dd></dl> <dl><dd><dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle N=\sum _{i=-k}^{n}d_{i}\cdot 8^{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>N</mi> <mo>=</mo> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <msub> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>8</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle N=\sum _{i=-k}^{n}d_{i}\cdot 8^{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/90f40fafe8d747119fd8e90640a58c87214b1d7f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:15.18ex; height:7.009ex;" alt="{\displaystyle N=\sum _{i=-k}^{n}d_{i}\cdot 8^{i}}"></span></dd></dl></dd></dl></dd></dl> <p>Como el sistema de numeración octal usa la <a href="/wiki/Notaci%C3%B3n_posicional" title="Notación posicional">notación posicional</a> entonces para el número 3452,32 tenemos que: 2*8<sup>0</sup> + 5*8<sup>1</sup> + 4*8<sup>2</sup> + 3*8<sup>3</sup> + 3*8<sup>-1</sup> + 2*8<sup>-2</sup> = 2 + 40 + 4*64 + 3*512 + 3*0,125 + 2*0,015625 = 2 + 40 + 256 + 1536 + 0,375 + 0,03125 = 1834 + 0,40625d </p><p>Entonces, 3452,32q = 1834,40625d; mejor aún: 3452,32<sub>(8)</sub>. </p><p>El sub índice "q" indica número octal, se usa la letra q para evitar confusión entre la letra 'o' y el número 0. En informática, a veces se utiliza la numeración octal en vez de la hexadecimal. Tiene la ventaja de que no requiere utilizar otros símbolos diferentes de los dígitos. Es posible que la numeración octal se usara en el pasado en lugar de la decimal, por ejemplo, para contar los espacios interdigitales o los dedos distintos de los pulgares. </p><p>Es utilizado como una forma abreviada de representar <a href="/wiki/Sistema_binario" title="Sistema binario">números binarios</a> que emplean caracteres de seis bits. Cada tres bits (medio carácter) es convertido en un único dígito octal (del <a href="/wiki/Griego_antiguo" title="Griego antiguo">griego</a> <i>oktō</i> 'ocho'). </p> <div class="mw-heading mw-heading2"><h2 id="Fracciones">Fracciones</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sistema_octal&amp;action=edit&amp;section=2" title="Editar sección: Fracciones"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La numeración octal es tan buena como la binaria y la hexadecimal para operar con fracciones, puesto que el único factor primo para sus bases es 2. Todas las fracciones que tengan un denominador distinto de una potencia de 2 tendrán un desarrollo octal periódico. </p> <table class="wikitable" border="1"> <caption> </caption> <tbody><tr> <th>Fracción</th> <th>Octal</th> <th>Resultado en octal </th></tr> <tr> <td>1/2</td> <td>1/2</td> <td>0,4 </td></tr> <tr> <td>1/3</td> <td>1/3</td> <td>0,25252525 periódico </td></tr> <tr> <td>1/4</td> <td>1/4</td> <td>0,2 </td></tr> <tr> <td>1/5</td> <td>1/5</td> <td>0,14631463 periódico </td></tr> <tr> <td>1/6</td> <td>1/6</td> <td>0,125252525 periódico </td></tr> <tr> <td>1/7</td> <td>1/7</td> <td>0,111111 periódico </td></tr> <tr> <td>1/8</td> <td>1/10</td> <td>0,1 </td></tr> <tr> <td>1/9</td> <td>1/11</td> <td>0,07070707 periódico </td></tr> <tr> <td>1/10</td> <td>1/12</td> <td>0,063146314 periódico </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Métodos_de_conversión"><span id="M.C3.A9todos_de_conversi.C3.B3n"></span>Métodos de conversión</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sistema_octal&amp;action=edit&amp;section=3" title="Editar sección: Métodos de conversión"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Decimal">Decimal</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sistema_octal&amp;action=edit&amp;section=4" title="Editar sección: Decimal"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Para poder convertir un número en base decimal a base octal se divide dicho número entre 8, dejando el residuo y dividiendo el cociente sucesivamente entre 8 hasta obtener cociente 0, luego los restos de las divisiones leídos en orden inverso indican el número en octal. </p><p>Ejemplo: </p><p>Escribir en octal del <a href="/wiki/N%C3%BAmero_decimal" title="Número decimal">número decimal</a> 730 </p><p>730÷8= 91.25 </p><p>91=cociente </p><p>8 x 91= 728 </p><p>730 - 728= 2 </p><p><b>2= residuo</b> </p><p>91÷8= 11.375 </p><p>11=cociente </p><p>8 x 11= 88 </p><p>91-88= 3 </p><p><b>3= residuo</b> </p><p>11÷8= 1 </p><p>1= cociente </p><p>8 x 1= 8 </p><p>11-8= 3 </p><p><b>3= residuo</b> </p><p>1÷8= 0 </p><p>0=cociente </p><p>8 x 0 = 0 </p><p>1 - 0=1 </p><p><b>1= residuo</b> </p><p>octal del número decimal 730= 1332 </p><p>Escribir en octal el número decimal 179 </p><p>179÷8= 22 </p><p>22= cociente </p><p>8 x 22= 176 </p><p>179-176= 3 </p><p><b>3= residuo</b> </p><p>22÷8= 2 </p><p>2=cociente </p><p>8x2= 16 </p><p>22-16= 6 </p><p><b>6= residuo</b> </p><p>2÷8= 0 </p><p>0= cociente </p><p>8x0= 0 </p><p>2-0= 2 </p><p><b>2= residuo</b> </p><p>El octal del número decimal 179= 263 </p> <div class="mw-heading mw-heading3"><h3 id="Binario">Binario</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sistema_octal&amp;action=edit&amp;section=5" title="Editar sección: Binario"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Para pasar de binario a octal, solo hay que agrupar de 3 en 3 los dígitos binarios, así, el número binario 1001010 (74 en decimal), lo agruparíamos como 1 / 001 / 010. como al primer dígito le hacen falta dos números para que se cumpla la regla de 3 en 3 le agregamos 2 ceros, de modo que quedaría </p><p>(<b>00</b>1) (001) (010) </p><p>después obtenemos el número en decimal de cada uno de los paréntesis de los números en binario con la siguiente fórmula: </p><p>de <b>derecha a izquierda</b> visualiza un número del 0 al 2 en la parte superior del número binario, para indicar la posición del binario en el paréntesis: </p><p><b>210&lt;&lt;&lt;</b> </p><p>1. (001) posición <b>0</b> para el binario 1, posición <b>1</b> para el binario 0, posición <b>2</b> para el binario 0 </p><p><b>210&lt;&lt;&lt;</b> </p><p>2. (001)posición <b>0</b> para el binario 1, posición <b>1</b> para el binario 0, posición <b>2</b> para el binario 0 </p><p><b>210&lt;&lt;&lt;</b> </p><p>3. (010)posición <b>0</b> para el binario 0, posición <b>1</b> para el binario 1, posición <b>2</b> para el binario 0 </p><p>Después se multiplica cada número binario por 2 elevado a la posición del número binario y cada resultado se suma: </p> <ol><li>(001)= ( 0 x 2<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp 2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp 2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e8efb56caaa4abdc4cd545e3bcc0f4d1e0148f7c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle \exp 2}"></span>) + (0 x 2<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb68818bf79b614d19746feee7c60637b0fac7d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle \exp 1}"></span>) + ( 1 x 2<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/50e39e4aca7ec4bb7ff3521e23dadf76177d2701" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle \exp 0}"></span>)= 0 + 0 + 1 = 1</li> <li>(001)= ( 0 x 2<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp 2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp 2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e8efb56caaa4abdc4cd545e3bcc0f4d1e0148f7c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle \exp 2}"></span>) + (0 x 2<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb68818bf79b614d19746feee7c60637b0fac7d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle \exp 1}"></span>) + ( 1 x 2<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/50e39e4aca7ec4bb7ff3521e23dadf76177d2701" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle \exp 0}"></span>)= 0 + 0 + 1 = 1</li> <li>(010)= (0 x 2<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp 2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp 2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e8efb56caaa4abdc4cd545e3bcc0f4d1e0148f7c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle \exp 2}"></span>) + ( 1 x 2<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb68818bf79b614d19746feee7c60637b0fac7d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle \exp 1}"></span>) + ( 0 x 2<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \exp 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \exp 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/50e39e4aca7ec4bb7ff3521e23dadf76177d2701" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.102ex; height:2.509ex;" alt="{\displaystyle \exp 0}"></span>)= 0 + 2 + 0= 2</li></ol> <p>001= 1 </p><p>001= 1 </p><p>010= 2 </p><p>De modo que el número binario 1001010 en octal es 112. </p> <div class="mw-heading mw-heading2"><h2 id="Tabla_de_conversión_entre_decimal,_binario,_hexadecimal_y_octal"><span id="Tabla_de_conversi.C3.B3n_entre_decimal.2C_binario.2C_hexadecimal_y_octal"></span>Tabla de conversión entre decimal, binario, hexadecimal y octal</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sistema_octal&amp;action=edit&amp;section=6" title="Editar sección: Tabla de conversión entre decimal, binario, hexadecimal y octal"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable" border="2"> <caption> </caption> <tbody><tr> <th>Decimal</th> <th>Binario</th> <th>Hexadecimal</th> <th>octal </th></tr> <tr> <td>0</td> <td>00000</td> <td>0</td> <td>0 </td></tr> <tr> <td>1</td> <td>00001</td> <td>1</td> <td>1 </td></tr> <tr> <td>2</td> <td>00010</td> <td>2</td> <td>2 </td></tr> <tr> <td>3</td> <td>00011</td> <td>3</td> <td>3 </td></tr> <tr> <td>4</td> <td>00100</td> <td>4</td> <td>4 </td></tr> <tr> <td>5</td> <td>00101</td> <td>5</td> <td>5 </td></tr> <tr> <td>6</td> <td>00110</td> <td>6</td> <td>6 </td></tr> <tr> <td>7</td> <td>00111</td> <td>7</td> <td>7 </td></tr> <tr> <td>8</td> <td>01000</td> <td>8</td> <td>10 </td></tr> <tr> <td>9</td> <td>01001</td> <td>9</td> <td>11 </td></tr> <tr> <td>10</td> <td>01010</td> <td>A</td> <td>12 </td></tr> <tr> <td>11</td> <td>01011</td> <td>B</td> <td>13 </td></tr> <tr> <td>12</td> <td>01100</td> <td>C</td> <td>14 </td></tr> <tr> <td>13</td> <td>01101</td> <td>D</td> <td>15 </td></tr> <tr> <td>14</td> <td>01110</td> <td>E</td> <td>16 </td></tr> <tr> <td>15</td> <td>01111</td> <td>F</td> <td>17 </td></tr> <tr> <td>16</td> <td>10000</td> <td>10</td> <td>20 </td></tr> <tr> <td>17</td> <td>10001</td> <td>11</td> <td>21 </td></tr> <tr> <td>18</td> <td>10010</td> <td>12</td> <td>22 </td></tr> <tr> <td>19</td> <td>10011</td> <td>13</td> <td>23 </td></tr> <tr> <td>20</td> <td>10100</td> <td>14</td> <td>24 </td></tr> <tr> <td>21</td> <td>10101</td> <td>15</td> <td>25 </td></tr> <tr> <td>22</td> <td>10110</td> <td>16</td> <td>26 </td></tr> <tr> <td>23</td> <td>10111</td> <td>17</td> <td>27 </td></tr> <tr> <td>24</td> <td>11000</td> <td>18</td> <td>30 </td></tr> <tr> <td>25</td> <td>11001</td> <td>19</td> <td>31 </td></tr> <tr> <td>26</td> <td>11010</td> <td>1A</td> <td>32 </td></tr> <tr> <td>27</td> <td>11011</td> <td>1B</td> <td>33 </td></tr> <tr> <td>28</td> <td>11100</td> <td>1C</td> <td>34 </td></tr> <tr> <td>29</td> <td>11101</td> <td>1D</td> <td>35 </td></tr> <tr> <td>30</td> <td>11110</td> <td>1E</td> <td>36 </td></tr> <tr> <td>31</td> <td>11111</td> <td>1F</td> <td>37 </td></tr> <tr> <td>32</td> <td>100000</td> <td>20</td> <td>40 </td></tr> <tr> <td>33</td> <td>100001</td> <td>21</td> <td>41 </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Véase_también"><span id="V.C3.A9ase_tambi.C3.A9n"></span>Véase también</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sistema_octal&amp;action=edit&amp;section=7" title="Editar sección: Véase también"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Sistema_de_numeraci%C3%B3n" title="Sistema de numeración">Sistema de numeración</a></li> <li><a href="/wiki/Sistema_hexadecimal" title="Sistema hexadecimal">Sistema hexadecimal</a></li> <li><a href="/wiki/TI_Programmer" title="TI Programmer">TI Programmer</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Enlaces_externos">Enlaces externos</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sistema_octal&amp;action=edit&amp;section=8" title="Editar sección: Enlaces externos"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.infoverse.org/octomatics/octomatics.htm">Octomatics Official Web Page</a></li> <li><a rel="nofollow" class="external text" href="http://redir.dasumo.com/hex/">Traductor Octal, Binario, Hexadecimal</a></li> <li><a rel="nofollow" class="external text" href="https://goonlinetools.com/es/octal-a-binario/">Octal a Binario Convertidor</a></li> <li><a rel="nofollow" class="external text" href="https://digitvital.com/convert-number/octal-to-decimal">Convertidor de Octal a Decimal</a> at DigitVital.com</li></ul> <style data-mw-deduplicate="TemplateStyles:r161257576">.mw-parser-output .mw-authority-control{margin-top:1.5em}.mw-parser-output .mw-authority-control .navbox table{margin:0}.mw-parser-output .mw-authority-control .navbox hr:last-child{display:none}.mw-parser-output .mw-authority-control .navbox+.mw-mf-linked-projects{display:none}.mw-parser-output .mw-authority-control .mw-mf-linked-projects{display:flex;padding:0.5em;border:1px solid var(--border-color-base,#a2a9b1);background-color:var(--background-color-neutral,#eaecf0);color:var(--color-base,#202122)}.mw-parser-output .mw-authority-control .mw-mf-linked-projects ul li{margin-bottom:0}.mw-parser-output .mw-authority-control .navbox{border:1px solid var(--border-color-base,#a2a9b1);background-color:var(--background-color-neutral-subtle,#f8f9fa)}.mw-parser-output .mw-authority-control .navbox-list{border-color:#f8f9fa}.mw-parser-output .mw-authority-control .navbox th{background-color:#eeeeff}html.skin-theme-clientpref-night .mw-parser-output .mw-authority-control .mw-mf-linked-projects{border:1px solid var(--border-color-base,#72777d);background-color:var(--background-color-neutral,#27292d);color:var(--color-base,#eaecf0)}html.skin-theme-clientpref-night .mw-parser-output .mw-authority-control .navbox{border:1px solid var(--border-color-base,#72777d)!important;background-color:var(--background-color-neutral-subtle,#202122)!important}html.skin-theme-clientpref-night .mw-parser-output .mw-authority-control .navbox-list{border-color:#202122!important}html.skin-theme-clientpref-night .mw-parser-output .mw-authority-control .navbox th{background-color:#27292d!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .mw-authority-control .mw-mf-linked-projects{border:1px solid var(--border-color-base,#72777d)!important;background-color:var(--background-color-neutral,#27292d)!important;color:var(--color-base,#eaecf0)!important}html.skin-theme-clientpref-os .mw-parser-output .mw-authority-control .navbox{border:1px solid var(--border-color-base,#72777d)!important;background-color:var(--background-color-neutral-subtle,#202122)!important}html.skin-theme-clientpref-os .mw-parser-output .mw-authority-control .navbox-list{border-color:#202122!important}html.skin-theme-clientpref-os .mw-parser-output .mw-authority-control .navbox th{background-color:#27292d!important}}</style><div class="mw-authority-control"><div role="navigation" class="navbox" aria-label="Navbox" style="width: inherit;padding:3px"><table class="hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="row" class="navbox-group" style="width: 12%; text-align:center;"><a href="/wiki/Control_de_autoridades" title="Control de autoridades">Control de autoridades</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><b>Proyectos Wikimedia</b></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datos:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q76463" class="extiw" title="wikidata:Q76463">Q76463</a></span></li></ul> </div></td></tr></tbody></table></div><div class="mw-mf-linked-projects hlist"> <ul><li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datos:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q76463" class="extiw" title="wikidata:Q76463">Q76463</a></span></li></ul> </div></div> <!-- NewPP limit report Parsed by mw‐api‐ext.codfw.main‐568576b95‐ds5qp Cached time: 20241111002717 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.125 seconds Real time usage: 0.206 seconds Preprocessor visited node count: 114/1000000 Post‐expand include size: 1968/2097152 bytes Template argument size: 0/2097152 bytes Highest expansion depth: 3/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2831/5000000 bytes Lua time usage: 0.075/10.000 seconds Lua memory usage: 1021796/52428800 bytes Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 114.500 1 Plantilla:Control_de_autoridades 100.00% 114.500 1 -total --> <!-- Saved in parser cache with key eswiki:pcache:idhash:17580-0!canonical and timestamp 20241111002717 and revision id 163515850. Rendering was triggered because: edit-page --> </div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Obtenido de «<a dir="ltr" href="https://es.wikipedia.org/w/index.php?title=Sistema_octal&amp;oldid=163515850">https://es.wikipedia.org/w/index.php?title=Sistema_octal&amp;oldid=163515850</a>»</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Especial:Categor%C3%ADas" title="Especial:Categorías">Categorías</a>: <ul><li><a href="/wiki/Categor%C3%ADa:Sistemas_de_numeraci%C3%B3n_posicional" title="Categoría:Sistemas de numeración posicional">Sistemas de numeración posicional</a></li><li><a href="/wiki/Categor%C3%ADa:Aritm%C3%A9tica_computacional" title="Categoría:Aritmética computacional">Aritmética computacional</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Esta página se editó por última vez el 11 nov 2024 a las 00:27.</li> <li id="footer-info-copyright">El texto está disponible bajo la <a href="/wiki/Wikipedia:Texto_de_la_Licencia_Creative_Commons_Atribuci%C3%B3n-CompartirIgual_4.0_Internacional" title="Wikipedia:Texto de la Licencia Creative Commons Atribución-CompartirIgual 4.0 Internacional">Licencia Creative Commons Atribución-CompartirIgual 4.0</a>; pueden aplicarse cláusulas adicionales. Al usar este sitio aceptas nuestros <a class="external text" href="https://foundation.wikimedia.org/wiki/Policy:Terms_of_Use/es">términos de uso</a> y nuestra <a class="external text" href="https://foundation.wikimedia.org/wiki/Policy:Privacy_policy/es">política de privacidad</a>.<br />Wikipedia&#174; es una marca registrada de la <a rel="nofollow" class="external text" href="https://wikimediafoundation.org/es/">Fundación Wikimedia</a>, una organización sin ánimo de lucro.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy/es">Política de privacidad</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:Acerca_de">Acerca de Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:Limitaci%C3%B3n_general_de_responsabilidad">Limitación de responsabilidad</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Código de conducta</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Desarrolladores</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/es.wikipedia.org">Estadísticas</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement/es">Declaración de cookies</a></li> <li id="footer-places-mobileview"><a href="//es.m.wikipedia.org/w/index.php?title=Sistema_octal&amp;mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Versión para móviles</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-f69cdc8f6-4xwft","wgBackendResponseTime":170,"wgPageParseReport":{"limitreport":{"cputime":"0.125","walltime":"0.206","ppvisitednodes":{"value":114,"limit":1000000},"postexpandincludesize":{"value":1968,"limit":2097152},"templateargumentsize":{"value":0,"limit":2097152},"expansiondepth":{"value":3,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":2831,"limit":5000000},"entityaccesscount":{"value":1,"limit":400},"timingprofile":["100.00% 114.500 1 Plantilla:Control_de_autoridades","100.00% 114.500 1 -total"]},"scribunto":{"limitreport-timeusage":{"value":"0.075","limit":"10.000"},"limitreport-memusage":{"value":1021796,"limit":52428800}},"cachereport":{"origin":"mw-api-ext.codfw.main-568576b95-ds5qp","timestamp":"20241111002717","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Sistema octal","url":"https:\/\/es.wikipedia.org\/wiki\/Sistema_octal","sameAs":"http:\/\/www.wikidata.org\/entity\/Q76463","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q76463","author":{"@type":"Organization","name":"Colaboradores de los proyectos Wikimedia"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2003-10-31T22:53:58Z","dateModified":"2024-11-11T00:27:17Z","headline":"notaci\u00f3n posicional"}</script> </body> </html>

Pages: 1 2 3 4 5 6 7 8 9 10