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Dit is echter niet verplicht." class=""><span>Account aanmaken</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=Speciaal:Aanmelden&returnto=Binair+talstelsel" title="U wordt van harte uitgenodigd om aan te melden, maar dit is niet verplicht [o]" accesskey="o" class=""><span>Aanmelden</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="Meer opties" > <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="Persoonlijke hulpmiddelen" > <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">Persoonlijke hulpmiddelen</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Gebruikersmenu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_nl.wikipedia.org&uselang=nl"><span>Doneren</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciaal:GebruikerAanmaken&returnto=Binair+talstelsel" title="Registreer u vooral en meld u aan. 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accesskey="y"><span>Bijdragen</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Speciaal:MijnOverleg" title="Overlegpagina van de anonieme gebruiker van dit IP-adres [n]" accesskey="n"><span>Overleg</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <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="Inhoud" 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">Inhoud</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">verbergen</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">Top</div> </a> </li> <li id="toc-Geschiedenis" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Geschiedenis"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Geschiedenis</span> </div> </a> <ul id="toc-Geschiedenis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Van_binair_naar_decimaal" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Van_binair_naar_decimaal"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Van binair naar decimaal</span> </div> </a> <ul id="toc-Van_binair_naar_decimaal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Eenvoudig_omrekenen" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Eenvoudig_omrekenen"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Eenvoudig omrekenen</span> </div> </a> <ul id="toc-Eenvoudig_omrekenen-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Berekenen_via_de_computer" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Berekenen_via_de_computer"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Berekenen via de computer</span> </div> </a> <ul id="toc-Berekenen_via_de_computer-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Andere_coderingen" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Andere_coderingen"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Andere coderingen</span> </div> </a> <ul id="toc-Andere_coderingen-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Trivia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Trivia"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Trivia</span> </div> </a> <ul id="toc-Trivia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zie_ook" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zie_ook"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Zie ook</span> </div> </a> <ul id="toc-Zie_ook-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="Inhoud" 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="Inhoudsopgave omschakelen" > <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">Inhoudsopgave omschakelen</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">Binair talstelsel</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="Ga naar een artikel in een andere taal. Beschikbaar in 97 talen" > <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-97" 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">97 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Bin%C3%AAre_getallestelsel" title="Binêre getallestelsel – Afrikaans" lang="af" hreflang="af" data-title="Binêre getallestelsel" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D8%B8%D8%A7%D9%85_%D8%B9%D8%AF_%D8%AB%D9%86%D8%A7%D8%A6%D9%8A" title="نظام عد ثنائي – Arabisch" lang="ar" hreflang="ar" data-title="نظام عد ثنائي" data-language-autonym="العربية" data-language-local-name="Arabisch" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Sistema_binariu" title="Sistema binariu – Asturisch" lang="ast" hreflang="ast" data-title="Sistema binariu" data-language-autonym="Asturianu" data-language-local-name="Asturisch" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C4%B0kili_say_sistemi" title="İkili say sistemi – Azerbeidzjaans" lang="az" hreflang="az" data-title="İkili say sistemi" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbeidzjaans" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%A7%DB%8C%DA%A9%DB%8C%E2%80%8C%D9%84%DB%8C_%D8%B3%D8%A7%DB%8C%DB%8C_%D8%B3%DB%8C%D8%B3%D8%AA%D9%85%DB%8C" title="ایکی‌لی سایی سیستمی – South Azerbaijani" lang="azb" hreflang="azb" data-title="ایکی‌لی سایی سیستمی" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%98%D0%BA%D0%B5%D0%BB%D0%B5_%D0%B8%D2%AB%D3%99%D0%BF%D0%BB%D3%99%D2%AF_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0%D2%BB%D1%8B" title="Икеле иҫәпләү системаһы – Basjkiers" lang="ba" hreflang="ba" data-title="Икеле иҫәпләү системаһы" data-language-autonym="Башҡортса" data-language-local-name="Basjkiers" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Bin%C3%A4rzoihn" title="Binärzoihn – Beiers" lang="bar" hreflang="bar" data-title="Binärzoihn" data-language-autonym="Boarisch" data-language-local-name="Beiers" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%94%D0%B2%D0%B0%D0%B9%D0%BA%D0%BE%D0%B2%D0%B0%D1%8F_%D1%81%D1%96%D1%81%D1%82%D1%8D%D0%BC%D0%B0_%D0%B7%D0%BB%D1%96%D1%87%D1%8D%D0%BD%D0%BD%D1%8F" title="Двайковая сістэма злічэння – Belarussisch" lang="be" hreflang="be" data-title="Двайковая сістэма злічэння" data-language-autonym="Беларуская" data-language-local-name="Belarussisch" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%94%D0%B2%D0%BE%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="Двоична бройна система – Bulgaars" lang="bg" hreflang="bg" data-title="Двоична бройна система" data-language-autonym="Български" data-language-local-name="Bulgaars" 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%A6%E0%A7%8D%E0%A6%AC%E0%A6%BF%E0%A6%AE%E0%A6%BF%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="দ্বিমিক সংখ্যাপদ্ধতি – Bengaals" lang="bn" hreflang="bn" data-title="দ্বিমিক সংখ্যাপদ্ধতি" data-language-autonym="বাংলা" data-language-local-name="Bengaals" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Enbonega%C3%B1_daouredel" title="Enbonegañ daouredel – Bretons" lang="br" hreflang="br" data-title="Enbonegañ daouredel" data-language-autonym="Brezhoneg" data-language-local-name="Bretons" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Binarni_brojevni_sistem" title="Binarni brojevni sistem – Bosnisch" lang="bs" hreflang="bs" data-title="Binarni brojevni sistem" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" 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_binari" title="Sistema binari – Catalaans" lang="ca" hreflang="ca" data-title="Sistema binari" data-language-autonym="Català" data-language-local-name="Catalaans" 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/Dvojkov%C3%A1_soustava" title="Dvojková soustava – Tsjechisch" lang="cs" hreflang="cs" data-title="Dvojková soustava" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%98%D0%BA%D0%BA%C4%95%D0%BB%D0%BB%D0%B5_%D1%88%D1%83%D1%82_%D1%82%D1%8B%D1%82%C4%83%D0%BC%C4%95" title="Иккĕлле шут тытăмĕ – Tsjoevasjisch" lang="cv" hreflang="cv" data-title="Иккĕлле шут тытăмĕ" data-language-autonym="Чӑвашла" data-language-local-name="Tsjoevasjisch" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Rhif_deuaidd" title="Rhif deuaidd – Welsh" lang="cy" hreflang="cy" data-title="Rhif deuaidd" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Bin%C3%A6re_talsystem" title="Binære talsystem – Deens" lang="da" hreflang="da" data-title="Binære talsystem" data-language-autonym="Dansk" data-language-local-name="Deens" 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/Dualsystem" title="Dualsystem – Duits" lang="de" hreflang="de" data-title="Dualsystem" data-language-autonym="Deutsch" data-language-local-name="Duits" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CF%85%CE%B1%CE%B4%CE%B9%CE%BA%CF%8C_%CF%83%CF%8D%CF%83%CF%84%CE%B7%CE%BC%CE%B1" title="Δυαδικό σύστημα – Grieks" lang="el" hreflang="el" data-title="Δυαδικό σύστημα" data-language-autonym="Ελληνικά" data-language-local-name="Grieks" 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/Binary_number" title="Binary number – Engels" lang="en" hreflang="en" data-title="Binary number" data-language-autonym="English" data-language-local-name="Engels" 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/Duuma_nombrosistemo" title="Duuma nombrosistemo – Esperanto" lang="eo" hreflang="eo" data-title="Duuma nombrosistemo" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Sistema_binario" title="Sistema binario – Spaans" lang="es" hreflang="es" data-title="Sistema binario" data-language-autonym="Español" data-language-local-name="Spaans" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kahends%C3%BCsteem" title="Kahendsüsteem – Estisch" lang="et" hreflang="et" data-title="Kahendsüsteem" data-language-autonym="Eesti" data-language-local-name="Estisch" 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_bitar" title="Zenbaki-sistema bitar – Baskisch" lang="eu" hreflang="eu" data-title="Zenbaki-sistema bitar" data-language-autonym="Euskara" data-language-local-name="Baskisch" 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%B1%D9%82%D9%85_%D8%AF%D9%88%D8%AF%D9%88%DB%8C%DB%8C" title="رقم دودویی – Perzisch" lang="fa" hreflang="fa" data-title="رقم دودویی" data-language-autonym="فارسی" data-language-local-name="Perzisch" 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/Bin%C3%A4%C3%A4rij%C3%A4rjestelm%C3%A4" title="Binäärijärjestelmä – Fins" lang="fi" hreflang="fi" data-title="Binäärijärjestelmä" data-language-autonym="Suomi" data-language-local-name="Fins" 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_binaire" title="Système binaire – Frans" lang="fr" hreflang="fr" data-title="Système binaire" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://fur.wikipedia.org/wiki/Sisteme_binari" title="Sisteme binari – Friulisch" lang="fur" hreflang="fur" data-title="Sisteme binari" data-language-autonym="Furlan" data-language-local-name="Friulisch" class="interlanguage-link-target"><span>Furlan</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Uimhir_dh%C3%A9n%C3%A1rtha" title="Uimhir dhénártha – Iers" lang="ga" hreflang="ga" data-title="Uimhir dhénártha" data-language-autonym="Gaeilge" data-language-local-name="Iers" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/C%C3%B3digo_binario" title="Código binario – Galicisch" lang="gl" hreflang="gl" data-title="Código binario" data-language-autonym="Galego" data-language-local-name="Galicisch" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Ypykatu_ik%C3%B5irek%C3%B3va" title="Ypykatu ikõirekóva – Guaraní" lang="gn" hreflang="gn" data-title="Ypykatu ikõirekóva" data-language-autonym="Avañe'ẽ" data-language-local-name="Guaraní" class="interlanguage-link-target"><span>Avañe'ẽ</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%91%D7%99%D7%A0%D7%90%D7%A8%D7%99" title="בסיס בינארי – Hebreeuws" lang="he" hreflang="he" data-title="בסיס בינארי" data-language-autonym="עברית" data-language-local-name="Hebreeuws" 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%A6%E0%A5%8D%E0%A4%B5%E0%A4%AF%E0%A4%BE%E0%A4%A7%E0%A4%BE%E0%A4%B0%E0%A5%80_%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE_%E0%A4%AA%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%A4%E0%A4%BF" title="द्वयाधारी संख्या पद्धति – Hindi" lang="hi" hreflang="hi" data-title="द्वयाधारी संख्या पद्धति" 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/Binarni_brojevni_sustav" title="Binarni brojevni sustav – Kroatisch" lang="hr" hreflang="hr" data-title="Binarni brojevni sustav" data-language-autonym="Hrvatski" data-language-local-name="Kroatisch" 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_bin%C3%A8" title="Sistèm binè – Haïtiaans Creools" lang="ht" hreflang="ht" data-title="Sistèm binè" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haïtiaans Creools" 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/Kettes_sz%C3%A1mrendszer" title="Kettes számrendszer – Hongaars" lang="hu" hreflang="hu" data-title="Kettes számrendszer" data-language-autonym="Magyar" data-language-local-name="Hongaars" 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%A5%D6%80%D5%AF%D5%B8%D6%82%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 երկուական համակարգ – Armeens" lang="hy" hreflang="hy" data-title="Հաշվարկման երկուական համակարգ" data-language-autonym="Հայերեն" data-language-local-name="Armeens" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Systema_binari" title="Systema binari – Interlingua" lang="ia" hreflang="ia" data-title="Systema binari" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Sistem_bilangan_biner" title="Sistem bilangan biner – Indonesisch" lang="id" hreflang="id" data-title="Sistem bilangan biner" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" 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/Binara_nombrosistemo" title="Binara nombrosistemo – Ido" lang="io" hreflang="io" data-title="Binara 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/Tv%C3%ADundakerfi" title="Tvíundakerfi – IJslands" lang="is" hreflang="is" data-title="Tvíundakerfi" data-language-autonym="Íslenska" data-language-local-name="IJslands" 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_binario" title="Sistema numerico binario – Italiaans" lang="it" hreflang="it" data-title="Sistema numerico binario" data-language-autonym="Italiano" data-language-local-name="Italiaans" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%BA%8C%E9%80%B2%E6%B3%95" title="二進法 – Japans" lang="ja" hreflang="ja" data-title="二進法" data-language-autonym="日本語" data-language-local-name="Japans" 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_bin%C3%A8r" title="Sistem wilangan binèr – Javaans" lang="jv" hreflang="jv" data-title="Sistem wilangan binèr" data-language-autonym="Jawa" data-language-local-name="Javaans" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%97%E1%83%95%E1%83%9A%E1%83%98%E1%83%A1_%E1%83%9D%E1%83%A0%E1%83%9D%E1%83%91%E1%83%98%E1%83%97%E1%83%98_%E1%83%A1%E1%83%98%E1%83%A1%E1%83%A2%E1%83%94%E1%83%9B%E1%83%90" title="თვლის ორობითი სისტემა – Georgisch" lang="ka" hreflang="ka" data-title="თვლის ორობითი სისტემა" data-language-autonym="ქართული" data-language-local-name="Georgisch" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%95%D0%BA%D1%96%D0%BB%D1%96%D0%BA_%D1%81%D0%B0%D0%BD%D0%B0%D1%83_%D0%B6%D2%AF%D0%B9%D0%B5%D1%81%D1%96" title="Екілік санау жүйесі – Kazachs" lang="kk" hreflang="kk" data-title="Екілік санау жүйесі" data-language-autonym="Қазақша" data-language-local-name="Kazachs" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%A6%E0%B3%8D%E0%B2%B5%E0%B2%BF%E0%B2%AE%E0%B2%BE%E0%B2%A8_%E0%B2%B8%E0%B2%82%E0%B2%96%E0%B3%8D%E0%B2%AF%E0%B2%BE_%E0%B2%AA%E0%B2%A6%E0%B3%8D%E0%B2%A7%E0%B2%A4%E0%B2%BF" title="ದ್ವಿಮಾನ ಸಂಖ್ಯಾ ಪದ್ಧತಿ – Kannada" lang="kn" hreflang="kn" data-title="ದ್ವಿಮಾನ ಸಂಖ್ಯಾ ಪದ್ಧತಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9D%B4%EC%A7%84%EB%B2%95" title="이진법 – Koreaans" lang="ko" hreflang="ko" data-title="이진법" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%AD%D0%BA%D0%B8%D0%BB%D0%B8%D0%BA_%D1%8D%D1%81%D0%B5%D0%BF%D1%82%D3%A9%D3%A9_%D1%82%D1%83%D1%82%D1%83%D0%BC%D1%83" title="Экилик эсептөө тутуму – Kirgizisch" lang="ky" hreflang="ky" data-title="Экилик эсептөө тутуму" data-language-autonym="Кыргызча" data-language-local-name="Kirgizisch" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Systema_numericum_binarium" title="Systema numericum binarium – Latijn" lang="la" hreflang="la" data-title="Systema numericum binarium" data-language-autonym="Latina" data-language-local-name="Latijn" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Sistema_binari" title="Sistema binari – Lombardisch" lang="lmo" hreflang="lmo" data-title="Sistema binari" data-language-autonym="Lombard" data-language-local-name="Lombardisch" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Dvejetain%C4%97_skai%C4%8Diavimo_sistema" title="Dvejetainė skaičiavimo sistema – Litouws" lang="lt" hreflang="lt" data-title="Dvejetainė skaičiavimo sistema" data-language-autonym="Lietuvių" data-language-local-name="Litouws" 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/Bin%C4%81r%C4%81_skait%C4%AB%C5%A1anas_sist%C4%93ma" title="Binārā skaitīšanas sistēma – Lets" lang="lv" hreflang="lv" data-title="Binārā skaitīšanas sistēma" data-language-autonym="Latviešu" data-language-local-name="Lets" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BA%D1%8B%D1%82%D0%B0%D0%BD_%D1%87%D0%BE%D1%82%D1%80%D0%B0%D0%B4%D0%B0%D0%BC_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B5" title="Кокытан чотрадам системе – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Кокытан чотрадам системе" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-mk badge-Q17437796 badge-featuredarticle mw-list-item" title="uitgelicht artikel"><a href="https://mk.wikipedia.org/wiki/%D0%94%D0%B2%D0%BE%D0%B8%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="Двоичен броен систем – Macedonisch" lang="mk" hreflang="mk" data-title="Двоичен броен систем" data-language-autonym="Македонски" data-language-local-name="Macedonisch" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%A6%E0%B5%8D%E0%B4%B5%E0%B4%AF%E0%B4%BE%E0%B4%99%E0%B5%8D%E0%B4%95%E0%B4%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF%E0%B4%BE%E0%B4%B5%E0%B5%8D%E0%B4%AF%E0%B4%B5%E0%B4%B8%E0%B5%8D%E0%B4%A5" title="ദ്വയാങ്കസംഖ്യാവ്യവസ്ഥ – Malayalam" lang="ml" hreflang="ml" data-title="ദ്വയാങ്കസംഖ്യാവ്യവസ്ഥ" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A5%D0%BE%D1%91%D1%80%D1%82%D1%8B%D0%BD_%D1%82%D0%BE%D0%BE%D0%BB%D0%BB%D1%8B%D0%BD_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC" title="Хоёртын тооллын систем – Mongools" lang="mn" hreflang="mn" data-title="Хоёртын тооллын систем" data-language-autonym="Монгол" data-language-local-name="Mongools" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%A6%E0%A5%8D%E0%A4%B5%E0%A4%BF%E0%A4%AE%E0%A4%BE%E0%A4%A8_%E0%A4%AA%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%A4" title="द्विमान पद्धत – Marathi" lang="mr" hreflang="mr" data-title="द्विमान पद्धत" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Sistem_angka_perduaan" title="Sistem angka perduaan – Maleis" lang="ms" hreflang="ms" data-title="Sistem angka perduaan" data-language-autonym="Bahasa Melayu" data-language-local-name="Maleis" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Sistema_binairo_(matem%C3%A1tica)" title="Sistema binairo (matemática) – Mirandees" lang="mwl" hreflang="mwl" data-title="Sistema binairo (matemática)" data-language-autonym="Mirandés" data-language-local-name="Mirandees" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%A6%E0%A5%8D%E0%A4%B5%E0%A4%AF%E0%A4%A7%E0%A4%BE%E0%A4%B0%E0%A5%80_%E0%A4%B8%E0%A4%99%E0%A5%8D%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="द्वयधारी सङ्ख्या – Nepalees" lang="ne" hreflang="ne" data-title="द्वयधारी सङ्ख्या" data-language-autonym="नेपाली" data-language-local-name="Nepalees" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Totalssystemet" title="Totalssystemet – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Totalssystemet" data-language-autonym="Norsk nynorsk" data-language-local-name="Noors - 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/Bin%C3%A6rt_tallsystem" title="Binært tallsystem – Noors - Bokmål" lang="nb" hreflang="nb" data-title="Binært tallsystem" data-language-autonym="Norsk bokmål" data-language-local-name="Noors - Bokmål" 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/Binary" title="Binary – Noord-Sotho" lang="nso" hreflang="nso" data-title="Binary" data-language-autonym="Sesotho sa Leboa" data-language-local-name="Noord-Sotho" class="interlanguage-link-target"><span>Sesotho sa Leboa</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Laklamee" title="Laklamee – Afaan Oromo" lang="om" hreflang="om" data-title="Laklamee" data-language-autonym="Oromoo" data-language-local-name="Afaan Oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AC%E0%A8%BE%E0%A8%87%E0%A8%A8%E0%A8%B0%E0%A9%80_%E0%A8%B8%E0%A9%B0%E0%A8%96%E0%A8%BF%E0%A8%86_%E0%A8%AA%E0%A9%8D%E0%A8%B0%E0%A8%A3%E0%A8%BE%E0%A8%B2%E0%A9%80" title="ਬਾਇਨਰੀ ਸੰਖਿਆ ਪ੍ਰਣਾਲੀ – Punjabi" lang="pa" hreflang="pa" data-title="ਬਾਇਨਰੀ ਸੰਖਿਆ ਪ੍ਰਣਾਲੀ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Dw%C3%B3jkowy_system_liczbowy" title="Dwójkowy system liczbowy – Pools" lang="pl" hreflang="pl" data-title="Dwójkowy system liczbowy" data-language-autonym="Polski" data-language-local-name="Pools" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Sistema_de_numera%C3%A7%C3%A3o_bin%C3%A1rio" title="Sistema de numeração binário – Portugees" lang="pt" hreflang="pt" data-title="Sistema de numeração binário" data-language-autonym="Português" data-language-local-name="Portugees" 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_binar" title="Sistem binar – Roemeens" lang="ro" hreflang="ro" data-title="Sistem binar" data-language-autonym="Română" data-language-local-name="Roemeens" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%94%D0%B2%D0%BE%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="Двоичная система счисления – Russisch" lang="ru" hreflang="ru" data-title="Двоичная система счисления" data-language-autonym="Русский" data-language-local-name="Russisch" 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%86%DA%AF%D9%86_%D8%AC%D9%88_%DA%8F%D9%88%D9%86%D8%A7%D8%A6%D9%8A_%D8%B3%D8%B1%D8%B4%D8%AA%D9%88" title="انگن جو ڏونائي سرشتو – Sindhi" lang="sd" hreflang="sd" data-title="انگن جو ڏونائي سرشتو" data-language-autonym="سنڌي" data-language-local-name="Sindhi" 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/Binarni_sistem" title="Binarni sistem – Servo-Kroatisch" lang="sh" hreflang="sh" data-title="Binarni sistem" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Servo-Kroatisch" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%AF%E0%B7%8A%E0%B7%80%E0%B7%92%E0%B6%B8%E0%B6%BA_%E0%B7%83%E0%B6%82%E0%B6%9B%E0%B7%8A%E2%80%8D%E0%B6%BA%E0%B7%8F_%E0%B6%B4%E0%B6%AF%E0%B7%8A%E0%B6%B0%E0%B6%AD%E0%B7%92%E0%B6%BA" title="ද්විමය සංඛ්‍යා පද්ධතිය – Singalees" lang="si" hreflang="si" data-title="ද්විමය සංඛ්‍යා පද්ධතිය" data-language-autonym="සිංහල" data-language-local-name="Singalees" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Binary_number" title="Binary number – Simple English" lang="en-simple" hreflang="en-simple" data-title="Binary number" 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/Dvojkov%C3%A1_%C4%8D%C3%ADseln%C3%A1_s%C3%BAstava" title="Dvojková číselná sústava – Slowaaks" lang="sk" hreflang="sk" data-title="Dvojková číselná sústava" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" 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%A8%D8%A7%D8%A6%D9%86%D8%B1%DB%8C_%D9%86%D9%85%D8%A8%D8%B1_%D8%B3%D8%B3%D9%B9%D9%85" title="بائنری نمبر سسٹم – Saraiki" lang="skr" hreflang="skr" data-title="بائنری 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-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Dvoji%C5%A1ki_%C5%A1tevilski_sistem" title="Dvojiški številski sistem – Sloveens" lang="sl" hreflang="sl" data-title="Dvojiški številski sistem" data-language-autonym="Slovenščina" data-language-local-name="Sloveens" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Muravanembiri" title="Muravanembiri – Shona" lang="sn" hreflang="sn" data-title="Muravanembiri" data-language-autonym="ChiShona" data-language-local-name="Shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Tiro_labaale" title="Tiro labaale – Somalisch" lang="so" hreflang="so" data-title="Tiro labaale" data-language-autonym="Soomaaliga" data-language-local-name="Somalisch" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Sistemi_binar" title="Sistemi binar – Albanees" lang="sq" hreflang="sq" data-title="Sistemi binar" data-language-autonym="Shqip" data-language-local-name="Albanees" 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%91%D0%B8%D0%BD%D0%B0%D1%80%D0%BD%D0%B8_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC" title="Бинарни систем – Servisch" lang="sr" hreflang="sr" data-title="Бинарни систем" data-language-autonym="Српски / srpski" data-language-local-name="Servisch" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Sistim_panomeran_bin%C3%A9r" title="Sistim panomeran binér – Soendanees" lang="su" hreflang="su" data-title="Sistim panomeran binér" data-language-autonym="Sunda" data-language-local-name="Soendanees" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Bin%C3%A4ra_talsystemet" title="Binära talsystemet – Zweeds" lang="sv" hreflang="sv" data-title="Binära talsystemet" data-language-autonym="Svenska" data-language-local-name="Zweeds" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%A5%E0%B8%82%E0%B8%90%E0%B8%B2%E0%B8%99%E0%B8%AA%E0%B8%AD%E0%B8%87" title="เลขฐานสอง – Thai" lang="th" hreflang="th" data-title="เลขฐานสอง" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C4%B0kili_say%C4%B1_sistemi" title="İkili sayı sistemi – Turks" lang="tr" hreflang="tr" data-title="İkili sayı sistemi" data-language-autonym="Türkçe" data-language-local-name="Turks" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%98%D0%BA%D0%B5%D0%BB%D0%B5_%D0%B8%D1%81%D3%99%D0%BF%D0%BB%D3%99%D2%AF_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" title="Икеле исәпләү системасы – Tataars" lang="tt" hreflang="tt" data-title="Икеле исәпләү системасы" data-language-autonym="Татарча / tatarça" data-language-local-name="Tataars" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%94%D0%B2%D1%96%D0%B9%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="Двійкова система числення – Oekraïens" lang="uk" hreflang="uk" data-title="Двійкова система числення" data-language-autonym="Українська" data-language-local-name="Oekraïens" 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%AB%D9%86%D8%A7%D8%A6%DB%8C_%D8%B9%D8%AF%D8%AF%DB%8C_%D9%86%D8%B8%D8%A7%D9%85" title="ثنائی عددی نظام – Urdu" lang="ur" hreflang="ur" data-title="ثنائی عددی 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/Ikkilik_sanoq_sistemasi" title="Ikkilik sanoq sistemasi – Oezbeeks" lang="uz" hreflang="uz" data-title="Ikkilik sanoq sistemasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Oezbeeks" 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_nh%E1%BB%8B_ph%C3%A2n" title="Hệ nhị phân – Vietnamees" lang="vi" hreflang="vi" data-title="Hệ nhị phân" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamees" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Binair_reeknn" title="Binair reeknn – West-Vlaams" lang="vls" hreflang="vls" data-title="Binair reeknn" data-language-autonym="West-Vlams" data-language-local-name="West-Vlaams" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E4%BA%8C%E8%BF%9B%E5%88%B6" title="二进制 – Wuyu" lang="wuu" hreflang="wuu" data-title="二进制" data-language-autonym="吴语" data-language-local-name="Wuyu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%91%D7%99%D7%A0%D7%90%D7%A8%D7%99%D7%A9%D7%A2_%D7%A1%D7%99%D7%A1%D7%98%D7%A2%D7%9D" title="בינארישע סיסטעם – Jiddisch" lang="yi" hreflang="yi" data-title="בינארישע סיסטעם" data-language-autonym="ייִדיש" data-language-local-name="Jiddisch" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BA%8C%E8%BF%9B%E5%88%B6" title="二进制 – Chinees" lang="zh" hreflang="zh" data-title="二进制" data-language-autonym="中文" data-language-local-name="Chinees" 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/%E4%BA%8C%E9%80%B2%E5%88%B6" title="二進制 – Klassiek Chinees" lang="lzh" hreflang="lzh" data-title="二進制" data-language-autonym="文言" data-language-local-name="Klassiek Chinees" 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/J%C4%AB-ch%C3%ACn-hoat" title="Jī-chìn-hoat – Minnanyu" lang="nan" hreflang="nan" 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and (max-width:640px){.mw-parser-output .kolommen-lijst{clear:both}}</style><div class="kolommen-lijst" style="column-width:8em;"> <ul><li><a href="/wiki/Arabisch-Indische_cijfers" title="Arabisch-Indische cijfers">Arabisch</a></li> <li><a href="/wiki/Armeense_cijfers" title="Armeense cijfers">Armeens</a></li> <li><a href="/wiki/Attische_cijfers" title="Attische cijfers">Attisch</a></li> <li><a href="/wiki/Babylonische_cijfers" title="Babylonische cijfers">Babylonisch</a></li> <li><a href="/wiki/Birmees_schrift#Cijfers" title="Birmees schrift">Birmees</a></li> <li><a href="/wiki/Chinese_cijfers" title="Chinese cijfers">Chinees</a></li> <li><a href="/wiki/Cyrillische_cijfers" title="Cyrillische cijfers">Cyrillisch</a></li> <li><a href="/wiki/Egyptische_cijfers" title="Egyptische cijfers">Egyptisch</a></li> <li><a href="/wiki/Etruskische_cijfers" title="Etruskische cijfers">Etruskisch</a></li> <li><a href="/wiki/Griekse_cijfers" title="Griekse cijfers">Grieks</a></li> <li><a href="/wiki/Hebreeuwse_cijfers" title="Hebreeuwse cijfers">Hebreeuws</a></li> <li><a href="/wiki/Indiase_cijfers" title="Indiase cijfers">Indiaas</a></li> <li><a href="/wiki/Japanse_cijfers" class="mw-redirect" title="Japanse cijfers">Japans</a></li> <li><a href="/wiki/Khmercijfers" title="Khmercijfers">Khmer</a></li> <li><a href="/wiki/Mayacijfers" title="Mayacijfers">Maya</a></li> <li><a href="/wiki/Romeinse_cijfers" title="Romeinse cijfers">Romeins</a></li> <li><a href="/wiki/Thaise_cijfers" title="Thaise cijfers">Thais</a></li></ul> </div> <hr /> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r68175564"><div class="kolommen-lijst" style="column-width:10em;"> <ul><li><a href="/wiki/Unair_talstelsel" title="Unair talstelsel">unair (1)</a></li> <li><a class="mw-selflink selflink">binair (2)</a></li> <li><a href="/w/index.php?title=Quinair_talstelsel&action=edit&redlink=1" class="new" title="Quinair talstelsel (de pagina bestaat niet)">quinair (5)</a></li> <li><a href="/wiki/Octaal_talstelsel" title="Octaal talstelsel">octaal (8)</a></li> <li><a href="/wiki/Novenair" title="Novenair">novenair (9)</a></li> <li><a href="/wiki/Decimaal_talstelsel" title="Decimaal talstelsel">decimaal (10)</a></li> <li><a href="/wiki/Twaalftallig_stelsel" title="Twaalftallig stelsel">duodecimaal (12)</a></li> <li><a href="/wiki/Hexadecimaal" class="mw-redirect" title="Hexadecimaal">hexadecimaal (16)</a></li> <li><a href="/wiki/Vigesimaal" title="Vigesimaal">vigesimaal (20)</a></li> <li><a href="/wiki/Sexagesimaal" class="mw-redirect" title="Sexagesimaal">sexagesimaal (60)</a></li></ul> </div> </td></tr> </tbody></table> <table class="wikitable" style="text-align: center; font-size: small; float: right; clear: right; margin: 1em 0em 1em 1em;"> <tbody><tr> <th>Binair</th> <th><a href="/wiki/Decimaal" title="Decimaal">Decimaal</a> </th></tr> <tr> <td>00000</td> <td><a href="/wiki/0_(getal)" title="0 (getal)">0</a> </td></tr> <tr> <td>00001</td> <td><a href="/wiki/1_(getal)" title="1 (getal)">1</a> </td></tr> <tr> <td>00010</td> <td><a href="/wiki/2_(getal)" title="2 (getal)">2</a> </td></tr> <tr> <td>00011</td> <td><a href="/wiki/3_(getal)" title="3 (getal)">3</a> </td></tr> <tr> <td>00100</td> <td><a href="/wiki/4_(getal)" title="4 (getal)">4</a> </td></tr> <tr> <td>00101</td> <td><a href="/wiki/5_(getal)" title="5 (getal)">5</a> </td></tr> <tr> <td>00110</td> <td><a href="/wiki/6_(getal)" title="6 (getal)">6</a> </td></tr> <tr> <td>00111</td> <td><a href="/wiki/7_(getal)" title="7 (getal)">7</a> </td></tr> <tr> <td>01000</td> <td><a href="/wiki/8_(getal)" title="8 (getal)">8</a> </td></tr> <tr> <td>01001</td> <td><a href="/wiki/9_(getal)" title="9 (getal)">9</a> </td></tr> <tr> <td>01010</td> <td><a href="/wiki/10_(getal)" title="10 (getal)">10</a> </td></tr></tbody></table> <p>Het <b>binaire talstelsel</b> of <b>tweetallig talstelsel</b> is een <a href="/wiki/Positiestelsel" title="Positiestelsel">positiestelsel</a>, waarin een <a href="/wiki/Getal_(wiskunde)" title="Getal (wiskunde)">getal</a> wordt voorgesteld door een rijtje van de <a href="/wiki/Cijfer" title="Cijfer">cijfers</a> 0 en 1. Een dergelijk cijfer wordt in deze context een <a href="/wiki/Bit_(eenheid)" title="Bit (eenheid)">bit</a> ("<b>b</b>inary dig<b>it</b>") genoemd. </p><p>In het binaire talstelsel komt iedere positie overeen met een macht van 2. Een binair getal <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle B}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>B</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle B}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47136aad860d145f75f3eed3022df827cee94d7a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle B}"></span> wordt voorgesteld door een rij met <a href="/wiki/Bit_(eenheid)" title="Bit (eenheid)">bits</a>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle B=b_{n}b_{n-1}\ldots b_{2}b_{1}b_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>B</mi> <mo>=</mo> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> <mo>…</mo> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle B=b_{n}b_{n-1}\ldots b_{2}b_{1}b_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/06db7aa563d39ebe958172dbe284bcd58c8a53da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:21.048ex; height:2.509ex;" alt="{\displaystyle B=b_{n}b_{n-1}\ldots b_{2}b_{1}b_{0}}"></span></dd></dl> <p>wat betekent: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle B=b_{n}2^{n}+b_{n-1}2^{n-1}+\ldots +b_{2}2^{2}+b_{1}2^{1}+b_{0}2^{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>B</mi> <mo>=</mo> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>+</mo> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mo>…</mo> <mo>+</mo> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle B=b_{n}2^{n}+b_{n-1}2^{n-1}+\ldots +b_{2}2^{2}+b_{1}2^{1}+b_{0}2^{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5ae529024cba23727e500d9ec7ee41bf07f7a5ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:47.988ex; height:3.009ex;" alt="{\displaystyle B=b_{n}2^{n}+b_{n-1}2^{n-1}+\ldots +b_{2}2^{2}+b_{1}2^{1}+b_{0}2^{0}}"></span></dd></dl> <p>In het binaire talstelsel is bijvoorbeeld het getal 0101 het getal 5 (= 0 + 4 + 0 + 1) in het <a href="/wiki/Decimaal_talstelsel" title="Decimaal talstelsel">decimale stelsel</a>. </p><p>Bij geautomatiseerde opslag en communicatie van gegevens (zoals binnen en tussen <a href="/wiki/Computer" title="Computer">computers</a> in de ruime zin van het woord) worden deze meestal binair gecodeerd, dat wil zeggen als duizenden reeksen met bits. Voor betere leesbaarheid wordt zo'n reeks met bits vaak weergegeven in het <a href="/wiki/Hexadecimaal_talstelsel" title="Hexadecimaal talstelsel">hexadecimale</a> of het <a href="/wiki/Octaal_talstelsel" title="Octaal talstelsel">octale</a> talstelsel, die beide nauw verwant zijn met het binaire. Zie ook <a href="/wiki/BCD-code" title="BCD-code">BCD-code</a>, als een tussenvorm tussen het decimale talstelsel en het binaire talstelsel. </p><p>Het octale en hexadecimale stelsel worden door computerprogrammeurs gebruikt bij taken waarbij ze de bitconfiguratie van het getal willen zien, omdat er direct <a href="/wiki/Hardware" title="Hardware">hardware</a> aangesproken wordt. In de hardware bestaat informatie uitsluitend in de vorm van reeksen enen en nullen. </p><p>Octale en hexadecimale getallen zijn uit binaire getallen af te leiden, namelijk door de binaire cijfers in groepjes van 3 (octaal) of 4 (hexadecimaal) te verdelen en deze groepjes van 3 respectievelijk 4 binaire cijfers steeds tot één octaal respectievelijk hexadecimaal cijfer om te zetten. Dit principe geldt voor alle getallenstelsels waarvan het aantal cijfers een macht van twee is. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Geschiedenis">Geschiedenis</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Binair_talstelsel&veaction=edit&section=1" title="Bewerk dit kopje: Geschiedenis" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Binair_talstelsel&action=edit&section=1" title="De broncode bewerken van de sectie: Geschiedenis"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>2400BC: de Egyptenaren gebruikten breuken van machten van 2: 1/2, 1/4, ... 1/64, om de <a href="/wiki/Heqat" title="Heqat">heqat</a>, een bepaalde inhoudsmaat, op te delen. Ook gebruikten ze <a href="/wiki/Oud-Egyptische_wiskunde" title="Oud-Egyptische wiskunde">tabellen met veelvouden van 2 om te vermenigvuldigen</a>.</li> <li>3e eeuw voor Christus: de Indiaase wiskundige <a href="/w/index.php?title=Pingala_wiskundige&action=edit&redlink=1" class="new" title="Pingala wiskundige (de pagina bestaat niet)">Pingala</a> beschreef een binair talstelsel in de <a href="/w/index.php?title=Chanda%E1%B8%A5%C5%9B%C4%81stra&action=edit&redlink=1" class="new" title="Chandaḥśāstra (de pagina bestaat niet)">Chandaḥśāstra</a>.</li> <li><a href="/w/index.php?title=Shao_Yong&action=edit&redlink=1" class="new" title="Shao Yong (de pagina bestaat niet)">Shao Yong (邵雍)</a> (1011–1077) herschikte de <a href="/wiki/Hexagram_(I_Tjing)" title="Hexagram (I Tjing)">hexagrammen</a> uit de <a href="/wiki/Boek_der_Veranderingen" title="Boek der Veranderingen">I Tjing</a> in een volgorde die overeenkomt met de binaire getallen <a href="/wiki/0_(getal)" title="0 (getal)">000000</a> t/m <a href="/wiki/63_(getal)" title="63 (getal)">111111</a>.</li></ul> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Diagram_of_I_Ching_hexagrams_owned_by_Gottfried_Wilhelm_Leibniz,_1701.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Diagram_of_I_Ching_hexagrams_owned_by_Gottfried_Wilhelm_Leibniz%2C_1701.jpg/260px-Diagram_of_I_Ching_hexagrams_owned_by_Gottfried_Wilhelm_Leibniz%2C_1701.jpg" decoding="async" width="260" height="250" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Diagram_of_I_Ching_hexagrams_owned_by_Gottfried_Wilhelm_Leibniz%2C_1701.jpg/390px-Diagram_of_I_Ching_hexagrams_owned_by_Gottfried_Wilhelm_Leibniz%2C_1701.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Diagram_of_I_Ching_hexagrams_owned_by_Gottfried_Wilhelm_Leibniz%2C_1701.jpg/520px-Diagram_of_I_Ching_hexagrams_owned_by_Gottfried_Wilhelm_Leibniz%2C_1701.jpg 2x" data-file-width="1313" data-file-height="1262" /></a><figcaption>Diagram van Hexagrammen uit de I Tjing, bezit van Gottfried Wilhelm Leibniz, 1701. <br />Rechter halve cirkel, onder naar boven: 000000-011111, <br />links, onder naar boven: 100000-111111 <br />centrum: linksboven naar rechtsonder: 000000-111111.</figcaption></figure> <ul><li>1703: <a href="/wiki/Gottfried_Wilhelm_Leibniz" title="Gottfried Wilhelm Leibniz">Gottfried Wilhelm Leibniz</a> publiceerde zijn artikel 'Explication de l'Arithmétique Binaire' (uitleg over binair rekenen).</li></ul> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Leibniz_binary_system_1703.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ac/Leibniz_binary_system_1703.png/260px-Leibniz_binary_system_1703.png" decoding="async" width="260" height="350" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ac/Leibniz_binary_system_1703.png/390px-Leibniz_binary_system_1703.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ac/Leibniz_binary_system_1703.png/520px-Leibniz_binary_system_1703.png 2x" data-file-width="727" data-file-height="979" /></a><figcaption>Rekenen met binaire getallen, door <a href="/wiki/Gottfried_Wilhelm_Leibniz" title="Gottfried Wilhelm Leibniz">Gottfried Wilhelm Leibniz</a>.</figcaption></figure> <ul><li>1937: <a href="/wiki/George_Stibitz" title="George Stibitz">George Stibitz</a> knultselde aan zijn keukentafel de eerste binaire rekenmachine in elkaar, de "model-K".</li> <li>1947: <a href="/wiki/John_Tukey" title="John Tukey">John Tukey</a> noemde een binair cijfer een bit, een 'binary digit'.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Van_binair_naar_decimaal">Van binair naar decimaal</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Binair_talstelsel&veaction=edit&section=2" title="Bewerk dit kopje: Van binair naar decimaal" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Binair_talstelsel&action=edit&section=2" title="De broncode bewerken van de sectie: Van binair naar decimaal"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Om een binair getal te vertalen naar een decimaal getal, hoeft men slechts te kijken naar de posities waar een 1 staat. Voor ieder binair cijfer 1 berekent men de door de positie van dit cijfer aangegeven macht van twee, en wel: 2<sup><i>positie</i> − 1</sup>. De som van de op deze wijze berekende reeks decimale getallen geeft de waarde van het binaire getal decimaal weer. De eerste positie is de meest rechtse en komt overeen met het getal 1. De tweede positie, de tweede van rechts, komt overeen met het getal 2, de derde van rechts met 4, enz. </p> <dl><dd><table class="wikitable" style="text-align: center;"> <tbody><tr> <th>Binair</th> <th>2<sup>(<i>positie van de</i> 1) − 1</sup></th> <th>Decimaal</th> <th>Binair</th> <th>2<sup>(<i>positie van de</i> 1) − 1</sup></th> <th>Decimaal </th></tr> <tr> <td><b>1</b>00000</td> <td>2<sup>5</sup></td> <td>32</td> <td></td> <td></td> <td> </td></tr> <tr> <td>0<b>1</b>0000</td> <td>2<sup>4</sup></td> <td>16</td> <td>0<b>1</b>0000</td> <td>2<sup>4</sup></td> <td>16 </td></tr> <tr> <td>00<b>1</b>000</td> <td>2<sup>3</sup></td> <td>8</td> <td></td> <td></td> <td> </td></tr> <tr> <td>000<b>1</b>00</td> <td>2<sup>2</sup></td> <td>4</td> <td>000<b>1</b>00</td> <td>2<sup>2</sup></td> <td>4 </td></tr> <tr> <td>0000<b>1</b>0</td> <td>2<sup>1</sup></td> <td>2</td> <td></td> <td></td> <td> </td></tr> <tr> <td>00000<b>1</b></td> <td>2<sup>0</sup></td> <td>1</td> <td>00000<b>1</b></td> <td>2<sup>0</sup></td> <td>1 </td></tr> <tr style="border-top:4px double grey;background:white"> <td><b>111111</b></td> <td><b>2<sup>5</sup>+2<sup>4</sup>+2<sup>3</sup>+2<sup>2</sup>+2<sup>1</sup>+2<sup>0</sup></b></td> <td><b>63</b></td> <td><b>010101</b></td> <td><b>2<sup>4</sup>+2<sup>2</sup>+2<sup>0</sup></b></td> <td><b>21</b> </td></tr></tbody></table></dd></dl> <p>Simpel gezegd: bereken voor elk cijfer 1 in het binaire getal, de overeenkomstige macht van 2. Een binair getal van 6 cijfers, bijvoorbeeld 111111, wordt vertaald in (van links naar rechts) 32, 16, 8, 4, 2 en 1. De som 32 + 16 + 8 + 4 + 2 + 1 = 63 is de decimale waarde van dit binaire getal. Zo heeft het binaire getal 010101 de decimale waarde 16 + 4 + 1 = 21 </p><p>Voor cijfers achter de komma zijn de machten negatief. </p> <table class="wikitable" style="text-align: center;"> <tbody><tr> <th>Binair</th> <th>2<sup>(<i>positie van de</i> 1) − 1</sup></th> <th>Decimaal</th> <th>Binair</th> <th>2<sup>(<i>positie van de</i> 1) − 1</sup></th> <th>Decimaal </th></tr> <tr> <td>0,<b>1</b>0000</td> <td>2<sup>−1</sup></td> <td>0,50000</td> <td></td> <td></td> <td> </td></tr> <tr> <td>0,0<b>1</b>000</td> <td>2<sup>−2</sup></td> <td>0,25000</td> <td>0,0<b>1</b>000</td> <td>2<sup>−2</sup></td> <td>0,2500 </td></tr> <tr> <td>0,00<b>1</b>00</td> <td>2<sup>−3</sup></td> <td>0,12500</td> <td></td> <td></td> <td> </td></tr> <tr> <td>0,000<b>1</b>0</td> <td>2<sup>−4</sup></td> <td>0,06250</td> <td>0,000<b>1</b>0</td> <td>2<sup>−4</sup></td> <td>0,0625 </td></tr> <tr> <td>0,0000<b>1</b></td> <td>2<sup>−5</sup></td> <td>0,03125</td> <td></td> <td></td> <td> </td></tr> <tr style="border-top:4px double grey;background:white"> <td><b>0,11111</b></td> <td><b>2<sup>−1</sup>+2<sup>−2</sup>+2<sup>−3</sup>+2<sup>−4</sup>+2<sup>−5</sup></b></td> <td><b>0,96875</b></td> <td><b>0,01010</b></td> <td><b>2<sup>−2</sup>+2<sup>−4</sup></b></td> <td><b>0,3125</b> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Eenvoudig_omrekenen">Eenvoudig omrekenen</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Binair_talstelsel&veaction=edit&section=3" title="Bewerk dit kopje: Eenvoudig omrekenen" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Binair_talstelsel&action=edit&section=3" title="De broncode bewerken van de sectie: Eenvoudig omrekenen"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th>In</th> <th>256</th> <th>128</th> <th>64</th> <th>32</th> <th>16</th> <th>8</th> <th>4</th> <th>2</th> <th>1</th> <th>Uit </th></tr> <tr> <td rowspan="2">001101010</td> <td>0</td> <td>0</td> <td>1</td> <td>1</td> <td>0</td> <td>1</td> <td>0</td> <td>1</td> <td>0</td> <td rowspan="2">=106 </td></tr> <tr> <td></td> <td></td> <td>+64</td> <td>+32</td> <td></td> <td>+8</td> <td></td> <td>+2</td> <td> </td></tr> <tr style="background:White;"> <td rowspan="2">100010000</td> <td>1</td> <td>0</td> <td>0</td> <td>0</td> <td>1</td> <td>0</td> <td>0</td> <td>0</td> <td>0</td> <td rowspan="2">=272 </td></tr> <tr style="background:White;"> <td>+256</td> <td></td> <td></td> <td></td> <td>+16</td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td rowspan="2">57</td> <td></td> <td></td> <td></td> <td>−32</td> <td>−16</td> <td>−8</td> <td>0</td> <td>0</td> <td>−1</td> <td rowspan="2">=111001 </td></tr> <tr> <td></td> <td></td> <td></td> <td>1</td> <td>1</td> <td>1</td> <td>0</td> <td>0</td> <td>1 </td></tr></tbody></table> <p>Bovenstaande tabel is een eenvoudig hulpmiddel voor het omrekenen van binair naar tientallig en andersom. Stel er is het binaire getal 001101010. Vul dit in de tabel in en kijk naar de waarde in de bovenste rij. Bij het voorbeeld zijn dit de waarden 64, 32, 8 en 2. Door deze op te tellen is nu bekend hoeveel 001101010 in het tientalligstelsel is, namelijk 106. Het tweede voorbeeld - 100010000 - wordt dan 272. </p><p>Een andere methode gebruikt het <a href="/wiki/Hornerschema" title="Hornerschema">hornerschema</a> en bestaat erin de bijdragen van de machten van 2 van links naar rechts successievelijk te berekenen. Start bij de meest linkse "1" en pas het volgende <a href="/wiki/Algoritme" title="Algoritme">algoritme</a> toe. Vermenigvuldig met 2 en tel het volgende cijfer erbij op. Herhaal deze stap tot het laatste cijfer. Toegepast op het binaire getal 001101010 geeft dit: </p> <dl><dd>        1=1</dd> <dd>    2+1=3</dd> <dd>    6+0=6</dd> <dd>  12+1=13</dd> <dd>  26+0=26</dd> <dd>  52+1=53</dd> <dd>106+0=106</dd></dl> <p>Het binaire getal 001101010 = 106 (decimaal). Merk op dat het binaire getal verschijnt in de "kolom" voor de =-tekens. </p><p>Andersom kan de tabel ook gebruikt worden. Van het getal 57 wordt de binaire representatie gezocht. Zoek het grootste getal in de bovenste rij dat kleiner is dan of gelijk aan 57; dat is 32. Op die positie komt dus een 1. De rest is 57-32=25. Zoek weer het grootste getal in de bovenste rij dat kleiner is dan of gelijk aan 25; dat is 16. Op de positie 16 komt ook een 1. Bepaal weer de rest: 25-16=9. Het grootste getal in de bovenste rij dat kleiner is dan of gelijk aan 9 is 8. Zet een 1 op die positie. De test is 9-8=1. Ook daar komt een 1. Het resultaat is: 57=111001<sub>2</sub>. </p><p>Er is ook een methode die van laag naar hoog, dus van rechts naar links werkt. Schrijf een 1 als het getal oneven is en trek 1 van het getal af. Zet een 0 als het getal even is. Deel het resterende even getal door 2. Ga een positie naar links en herhaal de procedure. </p><p>Toegepast op 57 geeft dit het volgende. </p> <ul><li>57 is oneven, dus rechts komt een 1.</li> <li>Trek 1 af: 57−1=56 en deel 56 door 2; resterend 28. Schuif een plaats naar links en zet een 0 omdat 28 even is. De twee laatste cijfers van de binaire representatie zijn dus 01.</li> <li>Deel 28 door 2: uitkomst 14. Ga weer een plaats naar links en zet een 0 omdat 14 even is. De drie laatste cijfers zijn dus 001.</li> <li>Deel 14 door 2: uitkomst 7. Ga weer een plaats naar links en zet een 1 omdat 7 oneven is. De vier laatste cijfers zijn dus 1001.</li> <li>Trek 1 af: 7−1=6 en deel 6 door 2; resterend 3. Schuif een plaats naar links en zet een 1 omdat 3 oneven is. De vijf laatste cijfers zijn dus 11001.</li> <li>Trek 1 af: 3−1=2 en deel 2 door 2; resterend 1. Schuif een plaats naar links en zet een 1. De zes cijfers van de binaire representatie zijn: 111001.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Berekenen_via_de_computer">Berekenen via de computer</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Binair_talstelsel&veaction=edit&section=4" title="Bewerk dit kopje: Berekenen via de computer" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Binair_talstelsel&action=edit&section=4" title="De broncode bewerken van de sectie: Berekenen via de computer"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De volgende code in <a href="/wiki/Java_(programmeertaal)" title="Java (programmeertaal)">Java</a> kan gebruikt worden om een binaire weergave van een positief <a href="/wiki/Geheel_getal" title="Geheel getal">geheel getal</a> te maken. </p> <div class="mw-highlight mw-highlight-lang-java mw-content-ltr" dir="ltr"><pre><span></span><span class="kd">public</span><span class="w"> </span><span class="kd">class</span> <span class="nc">BinairOmzetten</span><span class="w"> </span><span class="p">{</span> <span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">static</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">main</span><span class="p">(</span><span class="n">String</span><span class="o">[]</span><span class="w"> </span><span class="n">args</span><span class="p">)</span><span class="w"> </span><span class="p">{</span> <span class="w"> </span><span class="n">voorbeeld</span><span class="p">(</span><span class="w"> </span><span class="mi">15</span><span class="p">);</span><span class="w"> </span><span class="c1">// 1111</span> <span class="w"> </span><span class="n">voorbeeld</span><span class="p">(</span><span class="w"> </span><span class="mi">50</span><span class="p">);</span><span class="w"> </span><span class="c1">// 110010</span> <span class="w"> </span><span class="n">voorbeeld</span><span class="p">(</span><span class="mi">200</span><span class="p">);</span><span class="w"> </span><span class="c1">// 11001000</span> <span class="w"> </span><span class="c1">// Of gebruik de ingebouwde functionaliteit Integer.toBinaryString(int i)</span> <span class="w"> </span><span class="p">}</span> <span class="w"> </span> <span class="w"> </span><span class="kd">private</span><span class="w"> </span><span class="kd">static</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">voorbeeld</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">n</span><span class="p">)</span><span class="w"> </span><span class="p">{</span> <span class="w"> </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">println</span><span class="p">(</span><span class="n">n</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s">" --> "</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">getBinary</span><span class="p">(</span><span class="n">n</span><span class="p">));</span> <span class="w"> </span><span class="p">}</span> <span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">static</span><span class="w"> </span><span class="n">String</span><span class="w"> </span><span class="nf">getBinary</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">n</span><span class="p">)</span><span class="w"> </span><span class="p">{</span> <span class="w"> </span><span class="kd">final</span><span class="w"> </span><span class="n">String</span><span class="w"> </span><span class="n">r</span><span class="p">;</span> <span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">n</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">0</span><span class="p">)</span> <span class="w"> </span><span class="n">r</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="s">"0"</span><span class="p">;</span> <span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">n</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">1</span><span class="p">)</span> <span class="w"> </span><span class="n">r</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="s">"1"</span><span class="p">;</span> <span class="w"> </span><span class="k">else</span> <span class="w"> </span><span class="n">r</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">getBinary</span><span class="p">(</span><span class="n">n</span><span class="w"> </span><span class="o">>>></span><span class="w"> </span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="p">(</span><span class="n">n</span><span class="w"> </span><span class="o">&</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span> <span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">r</span><span class="p">;</span> <span class="w"> </span><span class="p">}</span> <span class="p">}</span> </pre></div> <div class="mw-heading mw-heading2"><h2 id="Andere_coderingen">Andere coderingen</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Binair_talstelsel&veaction=edit&section=5" title="Bewerk dit kopje: Andere coderingen" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Binair_talstelsel&action=edit&section=5" title="De broncode bewerken van de sectie: Andere coderingen"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De normale binaire codering gaat uit van "gewogen" posities. Hierbij wordt over het algemeen het 'big-endian' principe gebruikt, zie <a href="/wiki/Endianness" title="Endianness">endianness</a>. </p><p>De <a href="/wiki/Gray-code" title="Gray-code">Gray-code</a> is een manier van coderen waarbij van ieder opeenvolgend paar getallen slechts één enkele bit verschilt. </p> <div class="mw-heading mw-heading2"><h2 id="Trivia">Trivia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Binair_talstelsel&veaction=edit&section=6" title="Bewerk dit kopje: Trivia" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Binair_talstelsel&action=edit&section=6" title="De broncode bewerken van de sectie: Trivia"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><i>"Er zijn 10 soorten mensen: Mensen die binair kunnen tellen en mensen die dat niet kunnen."</i> is een bekende <a href="/wiki/Inside_joke" title="Inside joke">inside joke</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Zie_ook">Zie ook</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Binair_talstelsel&veaction=edit&section=7" title="Bewerk dit kopje: Zie ook" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Binair_talstelsel&action=edit&section=7" title="De broncode bewerken van de sectie: Zie ook"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Two%27s_complement" title="Two's complement">Two's complement</a> (tweetallig, negatieve getallen)</li></ul> <div class="uitklappen mw-collapsible mw-collapsed" data-expandtext="Uitklappen" data-collapsetext="Inklappen" style="background-color:var(--background-color-interactive-subtle,#f8f9fa); color:var(--color-base,#202122); border:1px solid var(--border-color-base,#a2a9b1); padding:2px; margin:0.3em 0; font-size:95%; clear:both;"> <div style="text-align:left; padding:1px; font-weight:bold; background-color:var(--background-color-interactive,#eaecf0); color:var(--color-base,#202122);"> Pagina's die met Binair beginnen </div> <div class="mw-collapsible-content" style="padding:2px; color:var(--color-base,#202122);"> <div class="mw-prefixindex-body"><ul class="mw-prefixindex-list"><li><a href="/wiki/Binair" title="Binair">Binair</a></li> <li><a href="/wiki/Binair_beslissingsdiagram" title="Binair beslissingsdiagram">Binair beslissingsdiagram</a></li> <li><a href="/wiki/Binair_bestand" title="Binair bestand">Binair bestand</a></li> <li><div class="allpagesredirect"><a href="/wiki/Binair_geslachtsmodel" class="mw-redirect" title="Binair geslachtsmodel">Binair geslachtsmodel</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binair_getal" class="mw-redirect" title="Binair getal">Binair getal</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binair_rekenen" class="mw-redirect" title="Binair rekenen">Binair rekenen</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binair_stelsel" class="mw-redirect" title="Binair stelsel">Binair stelsel</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binair_systeem" class="mw-redirect" title="Binair systeem">Binair systeem</a></div></li> <li><a href="/wiki/Binair_talstelsel" title="Binair talstelsel">Binair talstelsel</a></li> <li><a href="/wiki/Binair_wapen" title="Binair wapen">Binair wapen</a></li> <li><div class="allpagesredirect"><a href="/wiki/Binair_zoeken" class="mw-redirect" title="Binair zoeken">Binair zoeken</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire" class="mw-redirect" title="Binaire">Binaire</a></div></li> <li><a href="/wiki/Binaire_Golay-code" title="Binaire Golay-code">Binaire Golay-code</a></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_Mathematische_Morfologie" class="mw-redirect" title="Binaire Mathematische Morfologie">Binaire Mathematische Morfologie</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_Zoekboom" class="mw-redirect" title="Binaire Zoekboom">Binaire Zoekboom</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_bestanden" class="mw-redirect" title="Binaire bestanden">Binaire bestanden</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_boom" class="mw-redirect" title="Binaire boom">Binaire boom</a></div></li> <li><a href="/wiki/Binaire_code" title="Binaire code">Binaire code</a></li> <li><a href="/wiki/Binaire_deling" title="Binaire deling">Binaire deling</a></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_editor" class="mw-redirect" title="Binaire editor">Binaire editor</a></div></li> <li><a href="/wiki/Binaire_functie" title="Binaire functie">Binaire functie</a></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_geslachtsmodel" class="mw-redirect" title="Binaire geslachtsmodel">Binaire geslachtsmodel</a></div></li> <li><a href="/wiki/Binaire_kwadratische_vorm" title="Binaire kwadratische vorm">Binaire kwadratische vorm</a></li> <li><a href="/wiki/Binaire_mathematische_morfologie" title="Binaire mathematische morfologie">Binaire mathematische morfologie</a></li> <li><a href="/wiki/Binaire_matrix" title="Binaire matrix">Binaire matrix</a></li> <li><a href="/wiki/Binaire_naam" title="Binaire naam">Binaire naam</a></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_naamgeving" class="mw-redirect" title="Binaire naamgeving">Binaire naamgeving</a></div></li> <li><a href="/wiki/Binaire_operatie" title="Binaire operatie">Binaire operatie</a></li> <li><a href="/wiki/Binaire_optie" title="Binaire optie">Binaire optie</a></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_puzzel" class="mw-redirect" title="Binaire puzzel">Binaire puzzel</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_relatie" class="mw-redirect" title="Binaire relatie">Binaire relatie</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_schaal" class="mw-redirect" title="Binaire schaal">Binaire schaal</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_stelsel" class="mw-redirect" title="Binaire stelsel">Binaire stelsel</a></div></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_talstelsel" class="mw-redirect" title="Binaire talstelsel">Binaire talstelsel</a></div></li> <li><a href="/wiki/Binaire_vertaling" title="Binaire vertaling">Binaire vertaling</a></li> <li><div class="allpagesredirect"><a href="/wiki/Binaire_wapens" class="mw-redirect" title="Binaire wapens">Binaire wapens</a></div></li> <li><a href="/wiki/Binaire_zoekboom" title="Binaire zoekboom">Binaire zoekboom</a></li> <li><div class="allpagesredirect"><a href="/wiki/Binairo" class="mw-redirect" title="Binairo">Binairo</a></div></li> 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