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title="계정을 만들고 로그인하는 것이 좋습니다. 하지만 필수는 아닙니다" class=""><span>계정 만들기</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=%ED%8A%B9%EC%88%98:%EB%A1%9C%EA%B7%B8%EC%9D%B8&returnto=%EC%9D%B4%EC%A7%84%EB%B2%95" title="위키백과에 로그인하면 여러가지 편리한 기능을 사용할 수 있습니다. [o]" accesskey="o" class=""><span>로그인</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="더 많은 옵션" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="개인 도구" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">개인 도구</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="사용자 메뉴" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ko.wikipedia.org&uselang=ko"><span>기부</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%ED%8A%B9%EC%88%98:%EA%B3%84%EC%A0%95%EB%A7%8C%EB%93%A4%EA%B8%B0&returnto=%EC%9D%B4%EC%A7%84%EB%B2%95" title="계정을 만들고 로그인하는 것이 좋습니다. 하지만 필수는 아닙니다"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>계정 만들기</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%ED%8A%B9%EC%88%98:%EB%A1%9C%EA%B7%B8%EC%9D%B8&returnto=%EC%9D%B4%EC%A7%84%EB%B2%95" title="위키백과에 로그인하면 여러가지 편리한 기능을 사용할 수 있습니다. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>로그인</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> 로그아웃한 편집자를 위한 문서 <a href="/wiki/%EB%8F%84%EC%9B%80%EB%A7%90:%EC%86%8C%EA%B0%9C" aria-label="편집에 관해 더 알아보기"><span>더 알아보기</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EA%B8%B0%EC%97%AC" title="이 IP 주소의 편집 목록 [y]" accesskey="y"><span>기여</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EC%82%AC%EC%9A%A9%EC%9E%90%ED%86%A0%EB%A1%A0" title="현재 사용하는 IP 주소에 대한 토론 문서 [n]" accesskey="n"><span>토론</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="사이트"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="목차" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">목차</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">사이드바로 이동</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">숨기기</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">처음 위치</div> </a> </li> <li id="toc-표현" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#표현"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>표현</span> </div> </a> <button aria-controls="toc-표현-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>표현 하위섹션 토글하기</span> </button> <ul id="toc-표현-sublist" class="vector-toc-list"> <li id="toc-이진_자료" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#이진_자료"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>이진 자료</span> </div> </a> <ul id="toc-이진_자료-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-셈" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#셈"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>셈</span> </div> </a> <ul id="toc-셈-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-산술" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#산술"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>산술</span> </div> </a> <button aria-controls="toc-산술-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>산술 하위섹션 토글하기</span> </button> <ul id="toc-산술-sublist" class="vector-toc-list"> <li id="toc-더하기" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#더하기"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>더하기</span> </div> </a> <ul id="toc-더하기-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-빼기" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#빼기"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>빼기</span> </div> </a> <ul id="toc-빼기-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-곱하기" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#곱하기"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>곱하기</span> </div> </a> <ul id="toc-곱하기-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-나누기" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#나누기"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>나누기</span> </div> </a> <ul id="toc-나누기-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-제곱근" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#제곱근"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.5</span> <span>제곱근</span> </div> </a> <ul id="toc-제곱근-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-십진법과의_관계" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#십진법과의_관계"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>십진법과의 관계</span> </div> </a> <ul id="toc-십진법과의_관계-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-같이_보기" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#같이_보기"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>같이 보기</span> </div> </a> <ul id="toc-같이_보기-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-각주" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#각주"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>각주</span> </div> </a> <ul id="toc-각주-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="목차" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="목차 토글" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">목차 토글</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">이진법</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="다른 언어로 문서를 방문합니다. 96개 언어로 읽을 수 있습니다" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-96" 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">96개 언어</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 – 아프리칸스어" lang="af" hreflang="af" data-title="Binêre getallestelsel" data-language-autonym="Afrikaans" data-language-local-name="아프리칸스어" 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 – 아랍어" lang="ar" hreflang="ar" data-title="نظام عد ثنائي" data-language-autonym="العربية" data-language-local-name="아랍어" 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 – 아스투리아어" lang="ast" hreflang="ast" data-title="Sistema binariu" data-language-autonym="Asturianu" data-language-local-name="아스투리아어" 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 – 아제르바이잔어" lang="az" hreflang="az" data-title="İkili say sistemi" data-language-autonym="Azərbaycanca" data-language-local-name="아제르바이잔어" 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 – 바슈키르어" lang="ba" hreflang="ba" data-title="Икеле иҫәпләү системаһы" data-language-autonym="Башҡортса" data-language-local-name="바슈키르어" 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 – Bavarian" lang="bar" hreflang="bar" data-title="Binärzoihn" data-language-autonym="Boarisch" data-language-local-name="Bavarian" 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 – 벨라루스어" lang="be" hreflang="be" data-title="Двайковая сістэма злічэння" data-language-autonym="Беларуская" data-language-local-name="벨라루스어" 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 – 불가리아어" lang="bg" hreflang="bg" data-title="Двоична бройна система" data-language-autonym="Български" data-language-local-name="불가리아어" 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 – 벵골어" lang="bn" hreflang="bn" data-title="দ্বিমিক সংখ্যাপদ্ধতি" data-language-autonym="বাংলা" data-language-local-name="벵골어" 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 – 브르타뉴어" lang="br" hreflang="br" data-title="Enbonegañ daouredel" data-language-autonym="Brezhoneg" data-language-local-name="브르타뉴어" 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 – 보스니아어" lang="bs" hreflang="bs" data-title="Binarni brojevni sistem" data-language-autonym="Bosanski" data-language-local-name="보스니아어" 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 – 카탈로니아어" lang="ca" hreflang="ca" data-title="Sistema binari" data-language-autonym="Català" data-language-local-name="카탈로니아어" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Dvojkov%C3%A1_soustava" title="Dvojková soustava – 체코어" lang="cs" hreflang="cs" data-title="Dvojková soustava" data-language-autonym="Čeština" data-language-local-name="체코어" 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 – 추바시어" lang="cv" hreflang="cv" data-title="Иккĕлле шут тытăмĕ" data-language-autonym="Чӑвашла" data-language-local-name="추바시어" 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 – 웨일스어" lang="cy" hreflang="cy" data-title="Rhif deuaidd" data-language-autonym="Cymraeg" data-language-local-name="웨일스어" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Bin%C3%A6re_talsystem" title="Binære talsystem – 덴마크어" lang="da" hreflang="da" data-title="Binære talsystem" data-language-autonym="Dansk" data-language-local-name="덴마크어" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Dualsystem" title="Dualsystem – 독일어" lang="de" hreflang="de" data-title="Dualsystem" data-language-autonym="Deutsch" data-language-local-name="독일어" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CF%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 – 그리스어" lang="el" hreflang="el" data-title="Δυαδικό σύστημα" data-language-autonym="Ελληνικά" data-language-local-name="그리스어" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Binary_number" title="Binary number – 영어" lang="en" hreflang="en" data-title="Binary number" data-language-autonym="English" data-language-local-name="영어" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Duuma_nombrosistemo" title="Duuma nombrosistemo – 에스페란토어" lang="eo" hreflang="eo" data-title="Duuma nombrosistemo" data-language-autonym="Esperanto" data-language-local-name="에스페란토어" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Sistema_binario" title="Sistema binario – 스페인어" lang="es" hreflang="es" data-title="Sistema binario" data-language-autonym="Español" data-language-local-name="스페인어" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kahends%C3%BCsteem" title="Kahendsüsteem – 에스토니아어" lang="et" hreflang="et" data-title="Kahendsüsteem" data-language-autonym="Eesti" data-language-local-name="에스토니아어" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zenbaki-sistema_bitar" title="Zenbaki-sistema bitar – 바스크어" lang="eu" hreflang="eu" data-title="Zenbaki-sistema bitar" data-language-autonym="Euskara" data-language-local-name="바스크어" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%D9%82%D9%85_%D8%AF%D9%88%D8%AF%D9%88%DB%8C%DB%8C" title="رقم دودویی – 페르시아어" lang="fa" hreflang="fa" data-title="رقم دودویی" data-language-autonym="فارسی" data-language-local-name="페르시아어" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Bin%C3%A4%C3%A4rij%C3%A4rjestelm%C3%A4" title="Binäärijärjestelmä – 핀란드어" lang="fi" hreflang="fi" data-title="Binäärijärjestelmä" data-language-autonym="Suomi" data-language-local-name="핀란드어" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Syst%C3%A8me_binaire" title="Système binaire – 프랑스어" lang="fr" hreflang="fr" data-title="Système binaire" data-language-autonym="Français" data-language-local-name="프랑스어" 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 – 프리울리어" lang="fur" hreflang="fur" data-title="Sisteme binari" data-language-autonym="Furlan" data-language-local-name="프리울리어" 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 – 아일랜드어" lang="ga" hreflang="ga" data-title="Uimhir dhénártha" data-language-autonym="Gaeilge" data-language-local-name="아일랜드어" 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 – 갈리시아어" lang="gl" hreflang="gl" data-title="Código binario" data-language-autonym="Galego" data-language-local-name="갈리시아어" 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 – 과라니어" lang="gn" hreflang="gn" data-title="Ypykatu ikõirekóva" data-language-autonym="Avañe'ẽ" data-language-local-name="과라니어" 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 – 히브리어" lang="he" hreflang="he" data-title="בסיס בינארי" data-language-autonym="עברית" data-language-local-name="히브리어" class="interlanguage-link-target"><span>עברית</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 – 크로아티아어" lang="hr" hreflang="hr" data-title="Binarni brojevni sustav" data-language-autonym="Hrvatski" data-language-local-name="크로아티아어" 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 – 아이티어" lang="ht" hreflang="ht" data-title="Sistèm binè" data-language-autonym="Kreyòl ayisyen" data-language-local-name="아이티어" 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 – 헝가리어" lang="hu" hreflang="hu" data-title="Kettes számrendszer" data-language-autonym="Magyar" data-language-local-name="헝가리어" 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 – 아르메니아어" lang="hy" hreflang="hy" data-title="Հաշվարկման երկուական համակարգ" data-language-autonym="Հայերեն" data-language-local-name="아르메니아어" 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 – 인터링구아" lang="ia" hreflang="ia" data-title="Systema binari" data-language-autonym="Interlingua" data-language-local-name="인터링구아" 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 – 인도네시아어" lang="id" hreflang="id" data-title="Sistem bilangan biner" data-language-autonym="Bahasa Indonesia" data-language-local-name="인도네시아어" 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 – 이도어" lang="io" hreflang="io" data-title="Binara nombrosistemo" data-language-autonym="Ido" data-language-local-name="이도어" 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 – 아이슬란드어" lang="is" hreflang="is" data-title="Tvíundakerfi" data-language-autonym="Íslenska" data-language-local-name="아이슬란드어" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Sistema_numerico_binario" title="Sistema numerico binario – 이탈리아어" lang="it" hreflang="it" data-title="Sistema numerico binario" data-language-autonym="Italiano" data-language-local-name="이탈리아어" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%BA%8C%E9%80%B2%E6%B3%95" title="二進法 – 일본어" lang="ja" hreflang="ja" data-title="二進法" data-language-autonym="日本語" data-language-local-name="일본어" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Sistem_wilangan_bin%C3%A8r" title="Sistem wilangan binèr – 자바어" lang="jv" hreflang="jv" data-title="Sistem wilangan binèr" data-language-autonym="Jawa" data-language-local-name="자바어" 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 – 조지아어" lang="ka" hreflang="ka" data-title="თვლის ორობითი სისტემა" data-language-autonym="ქართული" data-language-local-name="조지아어" 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 – 카자흐어" lang="kk" hreflang="kk" data-title="Екілік санау жүйесі" data-language-autonym="Қазақша" data-language-local-name="카자흐어" 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 – 칸나다어" lang="kn" hreflang="kn" data-title="ದ್ವಿಮಾನ ಸಂಖ್ಯಾ ಪದ್ಧತಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="칸나다어" class="interlanguage-link-target"><span>ಕನ್ನಡ</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 – 키르기스어" lang="ky" hreflang="ky" data-title="Экилик эсептөө тутуму" data-language-autonym="Кыргызча" data-language-local-name="키르기스어" 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 – 라틴어" lang="la" hreflang="la" data-title="Systema numericum binarium" data-language-autonym="Latina" data-language-local-name="라틴어" 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 – Lombard" lang="lmo" hreflang="lmo" data-title="Sistema binari" data-language-autonym="Lombard" data-language-local-name="Lombard" 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 – 리투아니아어" lang="lt" hreflang="lt" data-title="Dvejetainė skaičiavimo sistema" data-language-autonym="Lietuvių" data-language-local-name="리투아니아어" 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 – 라트비아어" lang="lv" hreflang="lv" data-title="Binārā skaitīšanas sistēma" data-language-autonym="Latviešu" data-language-local-name="라트비아어" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-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="알찬 글"><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 – 마케도니아어" lang="mk" hreflang="mk" data-title="Двоичен броен систем" data-language-autonym="Македонски" data-language-local-name="마케도니아어" 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 – 말라얄람어" lang="ml" hreflang="ml" data-title="ദ്വയാങ്കസംഖ്യാവ്യവസ്ഥ" data-language-autonym="മലയാളം" data-language-local-name="말라얄람어" 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 – 몽골어" lang="mn" hreflang="mn" data-title="Хоёртын тооллын систем" data-language-autonym="Монгол" data-language-local-name="몽골어" 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 – 마라티어" lang="mr" hreflang="mr" data-title="द्विमान पद्धत" data-language-autonym="मराठी" data-language-local-name="마라티어" 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 – 말레이어" lang="ms" hreflang="ms" data-title="Sistem angka perduaan" data-language-autonym="Bahasa Melayu" data-language-local-name="말레이어" 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) – 미란데어" lang="mwl" hreflang="mwl" data-title="Sistema binairo (matemática)" data-language-autonym="Mirandés" data-language-local-name="미란데어" 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 – 네팔어" lang="ne" hreflang="ne" data-title="द्वयधारी सङ्ख्या" data-language-autonym="नेपाली" data-language-local-name="네팔어" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Binair_talstelsel" title="Binair talstelsel – 네덜란드어" lang="nl" hreflang="nl" data-title="Binair talstelsel" data-language-autonym="Nederlands" data-language-local-name="네덜란드어" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Totalssystemet" title="Totalssystemet – 노르웨이어(니노르스크)" lang="nn" hreflang="nn" data-title="Totalssystemet" data-language-autonym="Norsk nynorsk" data-language-local-name="노르웨이어(니노르스크)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Bin%C3%A6rt_tallsystem" title="Binært tallsystem – 노르웨이어(보크말)" lang="nb" hreflang="nb" data-title="Binært tallsystem" data-language-autonym="Norsk bokmål" data-language-local-name="노르웨이어(보크말)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/Binary" title="Binary – 북부 소토어" lang="nso" hreflang="nso" data-title="Binary" data-language-autonym="Sesotho sa Leboa" data-language-local-name="북부 소토어" 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 – 오로모어" lang="om" hreflang="om" data-title="Laklamee" data-language-autonym="Oromoo" data-language-local-name="오로모어" 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 – 펀잡어" lang="pa" hreflang="pa" data-title="ਬਾਇਨਰੀ ਸੰਖਿਆ ਪ੍ਰਣਾਲੀ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="펀잡어" 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 – 폴란드어" lang="pl" hreflang="pl" data-title="Dwójkowy system liczbowy" data-language-autonym="Polski" data-language-local-name="폴란드어" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Sistema_de_numera%C3%A7%C3%A3o_bin%C3%A1rio" title="Sistema de numeração binário – 포르투갈어" lang="pt" hreflang="pt" data-title="Sistema de numeração binário" data-language-autonym="Português" data-language-local-name="포르투갈어" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Sistem_binar" title="Sistem binar – 루마니아어" lang="ro" hreflang="ro" data-title="Sistem binar" data-language-autonym="Română" data-language-local-name="루마니아어" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%94%D0%B2%D0%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 – 러시아어" lang="ru" hreflang="ru" data-title="Двоичная система счисления" data-language-autonym="Русский" data-language-local-name="러시아어" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-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 – 신디어" lang="sd" hreflang="sd" data-title="انگن جو ڏونائي سرشتو" data-language-autonym="سنڌي" data-language-local-name="신디어" 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 – 세르비아-크로아티아어" lang="sh" hreflang="sh" data-title="Binarni sistem" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="세르비아-크로아티아어" 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 – 싱할라어" lang="si" hreflang="si" data-title="ද්විමය සංඛ්‍යා පද්ධතිය" data-language-autonym="සිංහල" data-language-local-name="싱할라어" 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 – 슬로바키아어" lang="sk" hreflang="sk" data-title="Dvojková číselná sústava" data-language-autonym="Slovenčina" data-language-local-name="슬로바키아어" 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 – 슬로베니아어" lang="sl" hreflang="sl" data-title="Dvojiški številski sistem" data-language-autonym="Slovenščina" data-language-local-name="슬로베니아어" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Muravanembiri" title="Muravanembiri – 쇼나어" lang="sn" hreflang="sn" data-title="Muravanembiri" data-language-autonym="ChiShona" data-language-local-name="쇼나어" 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 – 소말리아어" lang="so" hreflang="so" data-title="Tiro labaale" data-language-autonym="Soomaaliga" data-language-local-name="소말리아어" 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 – 알바니아어" lang="sq" hreflang="sq" data-title="Sistemi binar" data-language-autonym="Shqip" data-language-local-name="알바니아어" 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 – 세르비아어" lang="sr" hreflang="sr" data-title="Бинарни систем" data-language-autonym="Српски / srpski" data-language-local-name="세르비아어" 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 – 순다어" lang="su" hreflang="su" data-title="Sistim panomeran binér" data-language-autonym="Sunda" data-language-local-name="순다어" 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 – 스웨덴어" lang="sv" hreflang="sv" data-title="Binära talsystemet" data-language-autonym="Svenska" data-language-local-name="스웨덴어" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%A5%E0%B8%82%E0%B8%90%E0%B8%B2%E0%B8%99%E0%B8%AA%E0%B8%AD%E0%B8%87" title="เลขฐานสอง – 태국어" lang="th" hreflang="th" data-title="เลขฐานสอง" data-language-autonym="ไทย" data-language-local-name="태국어" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C4%B0kili_say%C4%B1_sistemi" title="İkili sayı sistemi – 터키어" lang="tr" hreflang="tr" data-title="İkili sayı sistemi" data-language-autonym="Türkçe" data-language-local-name="터키어" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-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 – 타타르어" lang="tt" hreflang="tt" data-title="Икеле исәпләү системасы" data-language-autonym="Татарча / tatarça" data-language-local-name="타타르어" 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 – 우크라이나어" lang="uk" hreflang="uk" data-title="Двійкова система числення" data-language-autonym="Українська" data-language-local-name="우크라이나어" 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 – 우르두어" lang="ur" hreflang="ur" data-title="ثنائی عددی نظام" data-language-autonym="اردو" data-language-local-name="우르두어" 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 – 우즈베크어" lang="uz" hreflang="uz" data-title="Ikkilik sanoq sistemasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="우즈베크어" 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 – 베트남어" lang="vi" hreflang="vi" data-title="Hệ nhị phân" data-language-autonym="Tiếng Việt" data-language-local-name="베트남어" 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 Flemish" lang="vls" hreflang="vls" data-title="Binair reeknn" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" 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 – 우어" lang="wuu" hreflang="wuu" data-title="二进制" data-language-autonym="吴语" data-language-local-name="우어" 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 – 이디시어" lang="yi" hreflang="yi" data-title="בינארישע סיסטעם" data-language-autonym="ייִדיש" data-language-local-name="이디시어" 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 – 중국어" lang="zh" hreflang="zh" data-title="二进制" data-language-autonym="中文" data-language-local-name="중국어" 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 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="二進制" 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/J%C4%AB-ch%C3%ACn-hoat" title="Jī-chìn-hoat – 민난어" lang="nan" hreflang="nan" data-title="Jī-chìn-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="민난어" 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/%E4%BA%8C%E9%80%B2%E5%88%B6" title="二進制 – 광둥어" lang="yue" hreflang="yue" data-title="二進制" data-language-autonym="粵語" data-language-local-name="광둥어" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet 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3.3em}@media(max-width:720px){body.mediawiki .mw-parser-output .sidebar{width:100%!important;clear:both;float:none!important;margin-left:0!important;margin-right:0!important}}</style><table class="sidebar nomobile nowraplinks hlist"><tbody><tr><th class="sidebar-title"><a href="/wiki/%EA%B8%B0%EC%88%98%EB%B2%95" title="기수법">기수법</a></th></tr><tr><th class="sidebar-heading"> 개념</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/%EB%B0%91_(%EC%88%98%ED%95%99)" title="밑 (수학)">밑</a></li> <li><a href="/wiki/%EC%9C%84%EC%B9%98_%EA%B8%B0%EC%88%98%EB%B2%95" title="위치 기수법">위치 기수법</a></li> <li><a href="/w/index.php?title=%EB%B9%84%EC%A0%95%EC%88%98_%EA%B8%B0%EC%88%98%EB%B2%95&action=edit&redlink=1" class="new" title="비정수 기수법 (없는 문서)">비정수 기수법</a></li></ul></td> </tr><tr><th class="sidebar-heading"> <a href="/wiki/%EC%88%AB%EC%9E%90" title="숫자">숫자</a></th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/%EB%B0%94%EB%B9%8C%EB%A1%9C%EB%8B%88%EC%95%84_%EC%88%AB%EC%9E%90" title="바빌로니아 숫자">바빌로니아 숫자</a></li> <li><a href="/wiki/%EC%9D%B4%EC%A7%91%ED%8A%B8_%EC%88%AB%EC%9E%90" title="이집트 숫자">이집트 숫자</a></li> <li><a href="/wiki/%EA%B7%B8%EB%A6%AC%EC%8A%A4_%EC%88%AB%EC%9E%90" title="그리스 숫자">그리스 숫자</a></li> <li><a href="/wiki/%EB%A1%9C%EB%A7%88_%EC%88%AB%EC%9E%90" title="로마 숫자">로마 숫자</a></li> <li><a href="/wiki/%EB%A7%88%EC%95%BC_%EC%88%AB%EC%9E%90" title="마야 숫자">마야 숫자</a></li> <li><a href="/wiki/%EC%95%84%EB%9D%BC%EB%B9%84%EC%95%84_%EC%88%AB%EC%9E%90" title="아라비아 숫자">아라비아 숫자</a></li> <li><a href="/wiki/%ED%95%9C%EC%9E%90_%EC%88%AB%EC%9E%90" class="mw-redirect" title="한자 숫자">한자 숫자</a></li></ul></td> </tr><tr><th class="sidebar-heading"> 진법</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/%EC%9D%BC%EC%A7%84%EB%B2%95" title="일진법">단항 기수법</a> (1)</li> <li><a class="mw-selflink selflink">이진법</a> (2)</li> <li><a href="/wiki/%EC%82%BC%EC%A7%84%EB%B2%95" title="삼진법">삼진법</a> (3)</li> <li><a href="/wiki/%EC%82%AC%EC%A7%84%EB%B2%95" title="사진법">사진법</a> (4)</li> <li><a href="/wiki/%EC%98%A4%EC%A7%84%EB%B2%95" title="오진법">오진법</a> (5)</li> <li><a href="/wiki/%EC%9C%A1%EC%A7%84%EB%B2%95" title="육진법">육진법</a> (6)</li> <li><a href="/wiki/%ED%8C%94%EC%A7%84%EB%B2%95" title="팔진법">팔진법</a> (8)</li> <li><a href="/wiki/%EA%B5%AC%EC%A7%84%EB%B2%95" title="구진법">구진법</a> (9)</li> <li><a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a> (10)</li> <li><a href="/wiki/%EC%8B%AD%EC%9D%BC%EC%A7%84%EB%B2%95" title="십일진법">십일진법</a> (11)</li> <li><a href="/wiki/%EC%8B%AD%EC%9D%B4%EC%A7%84%EB%B2%95" title="십이진법">십이진법</a> (12)</li> <li><a href="/wiki/%EC%8B%AD%EC%98%A4%EC%A7%84%EB%B2%95" title="십오진법">십오진법</a> (15)</li> <li><a href="/wiki/%EC%8B%AD%EC%9C%A1%EC%A7%84%EB%B2%95" title="십육진법">십육진법</a> (16)</li> <li><a href="/wiki/%EC%8B%AD%ED%8C%94%EC%A7%84%EB%B2%95" title="십팔진법">십팔진법</a> (18)</li> <li><a href="/wiki/%EC%9D%B4%EC%8B%AD%EC%A7%84%EB%B2%95" title="이십진법">이십진법</a> (20)</li> <li><a href="/wiki/%EC%82%BC%EC%8B%AD%EC%9C%A1%EC%A7%84%EB%B2%95" title="삼십육진법">삼십육진법</a> (36)</li> <li><a href="/wiki/%EC%9C%A1%EC%8B%AD%EC%A7%84%EB%B2%95" title="육십진법">육십진법</a> (60)</li></ul></td> </tr></tbody></table> <p><b>이진법</b>(二進法, <span lang="en">binary</span>)은 두 개의 <a href="/wiki/%EC%88%AB%EC%9E%90" title="숫자">숫자</a>(1과 0)만을 이용하는 수 체계이다. </p><p>관습적으로 <a href="/wiki/0" title="0">0</a>과 <a href="/wiki/1" title="1">1</a>의 기호를 쓰며 이들로 이루어진 수를 <b>이진수</b>라고 한다. 이진법은 <a href="/wiki/%EB%9D%BC%EC%9D%B4%ED%94%84%EB%8B%88%EC%B8%A0" class="mw-redirect" title="라이프니츠">라이프니츠</a> (Gottfried Wilhelm Leibniz)가 <a href="/wiki/%EC%9D%8C%EC%96%91%EC%82%AC%EC%83%81" class="mw-redirect" title="음양사상">음양사상</a>의 영향을 받아 발명하였다. <a href="/wiki/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법">십진법</a>의 1은 이진법에서는 1, 십진법의 2는 이진법에서는 10, 십진법의 3은 이진법에서는 11, 십진법의 4는 이진법에서는 100이 된다. </p><p>이처럼 이진법에서는 1로 끝나는 수 다음 수는 자릿수가 하나 더 많은 수인데, 이는 십진법에서 9로 끝나는 수 다음 수가 자릿수가 하나 더 많은 수인 것과 유사하다. </p><p><a href="/wiki/%EC%BB%B4%ED%93%A8%ED%84%B0" title="컴퓨터">컴퓨터</a>에서는 논리의 조립이 두 개의 숫자로만 표현되어 컴퓨터가 이해하기 쉽고 내부에 사용되는 소자의 특성상 이진법이 편리하기 때문에 이진법을 사용한다. <a href="/wiki/%EB%94%94%EC%A7%80%ED%84%B8" title="디지털">디지털</a> 신호는 기본적으로 이진법 수들의 나열이며, 컴퓨터 내부에서 처리하는 숫자는 기본적으로 이진법을 이용하기 때문에 컴퓨터가 널리 쓰이는 현대에는 그 중요성이 더 커졌다. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="표현"><span id=".ED.91.9C.ED.98.84"></span>표현</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=1" title="부분 편집: 표현"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>이진법에서는 0과 1로 모든 수를 표현한다. 컴퓨터 상에서는 각각의 자리를 <a href="/wiki/%EB%B9%84%ED%8A%B8_(%EB%8B%A8%EC%9C%84)" title="비트 (단위)">비트</a>라고 부르며,<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> 각각의 비트는 켜져있거나 꺼져있는 두 가지 상태로 표시된다. 다음 수는 십진수 155를 이진법으로 표현한 것이다. </p> <dl><dd>1 0 0 1 1 0 1 1</dd></dl> <p>일반적으로 이진법의 수를 십진법의 수와 구별하기 위해 다음과 같은 방법을 쓴다. </p> <dl><dd>100101b (b를 덧붙임(b는 binary의 약자))(binary = 이진)</dd> <dd>100101<sub>(2)</sub> ((2)를 덧붙임, 주로 수학에서 쓰임)</dd> <dd>0b100101 (앞에 0b를 덧붙임, 주로 <a href="/wiki/%ED%94%84%EB%A1%9C%EA%B7%B8%EB%9E%98%EB%B0%8D_%EC%96%B8%EC%96%B4" title="프로그래밍 언어">프로그래밍 언어</a>에서 쓰임)</dd></dl> <div class="mw-heading mw-heading3"><h3 id="이진_자료"><span id=".EC.9D.B4.EC.A7.84_.EC.9E.90.EB.A3.8C"></span>이진 자료</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=2" title="부분 편집: 이진 자료"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>이진자료란 이진법 형식으로 표시되는 자료이다. 두 가지의 대조되는 데이터를 구분할 때 유리하다. 예를 들어 생의학 실험에서 50명의 환자들의 치유 여부를 0(치유되지 않았다), 1(치유되었다)로 표시한다면 숫자만으로도 쉽게 자료를 구분할 수 있다. </p> <div class="mw-heading mw-heading2"><h2 id="셈"><span id=".EC.85.88"></span>셈</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=3" title="부분 편집: 셈"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable" align="right"> <tbody><tr> <th>이진수 </th> <th>십진수 </th> <th> </th> <th>이진수 </th> <th>십진수 </th></tr> <tr> <td align="right">0 </td> <td align="right">0 </td> <td> </td> <td align="right">100 </td> <td align="right">4 </td></tr> <tr> <td align="right">1 </td> <td align="right">1 </td> <td> </td> <td align="right">101 </td> <td align="right">5 </td></tr> <tr> <td align="right">10 </td> <td align="right">2 </td> <td> </td> <td align="right">110 </td> <td align="right">6 </td></tr> <tr> <td align="right">11 </td> <td align="right">3 </td> <td> </td> <td align="right">111 </td> <td align="right">7 </td></tr></tbody></table> <p>십진법에서는 0에서 9까지의 숫자를 사용하는 데 비해, 이진법에서는 0에서 1까지의 숫자만을 사용한다. </p><p>십진법에서는 어떤 자리가 9를 넘어야 위로 자리올림을 하지만, 이진법에서는 어떤 자리가 1만 넘으면 자리올림을 한다. 따라서 이진수 오른쪽의 표와 같은 꼴로 나타난다. </p><p>이런 이유로 이진수에서는 십진수보다 자리수가 빠르게 늘어나버린다. 일반적으로 십진수 n자리를 이진수로 표현하면 </p><p><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\times \log _{2}{10}\approx 3.32n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>×</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> <mo>≈</mo> <mn>3.32</mn> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n\times \log _{2}{10}\approx 3.32n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/173db09108fb3e80bedb0a451353ade77aa840ac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.6ex; height:2.676ex;" alt="{\displaystyle n\times \log _{2}{10}\approx 3.32n}"></span> 자리수가 된다. </p> <div class="mw-heading mw-heading2"><h2 id="산술"><span id=".EC.82.B0.EC.88.A0"></span>산술</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=4" title="부분 편집: 산술"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>십진법과 마찬가지로 이진법에서도 <a href="/wiki/%EB%8D%94%ED%95%98%EA%B8%B0" class="mw-redirect" title="더하기">더하기</a>, <a href="/wiki/%EB%B9%BC%EA%B8%B0" class="mw-redirect" title="빼기">빼기</a>, <a href="/wiki/%EA%B3%B1%ED%95%98%EA%B8%B0" class="mw-redirect" title="곱하기">곱하기</a>, <a href="/wiki/%EB%82%98%EB%88%84%EA%B8%B0" class="mw-redirect" title="나누기">나누기</a>, <a href="/wiki/%EC%A0%9C%EA%B3%B1%EA%B7%BC" title="제곱근">제곱근</a> 등의 산술연산을 할 수 있다. </p> <div class="mw-heading mw-heading3"><h3 id="더하기"><span id=".EB.8D.94.ED.95.98.EA.B8.B0"></span>더하기</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=5" title="부분 편집: 더하기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Half-adder.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/Half-adder.svg/200px-Half-adder.svg.png" decoding="async" width="200" height="129" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/Half-adder.svg/300px-Half-adder.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/14/Half-adder.svg/400px-Half-adder.svg.png 2x" data-file-width="325" data-file-height="210" /></a><figcaption>두 비트를 더해주는 <a href="/wiki/%EB%B0%98%EA%B0%80%EC%82%B0%EA%B8%B0" class="mw-redirect" title="반가산기">반가산기</a>의 회로도</figcaption></figure><p>한 자리짜리 이진법인 수 2개를 더했을 때의 결과는 아래와 같다. </p><dl><dd>0 + 0 → 0</dd> <dd>0 + 1 → 1</dd> <dd>1 + 0 → 1</dd> <dd>1 + 1 → 0, 올림 1 (∵ 1 + 1 = 2 = 0 + (1 × 2<sup>1</sup>))</dd></dl> <p>여기서 올림이라는 것은 윗 자리로 받아올려지는 수를 의미한다. </p><p>표로 나타내면 다음과 같다. </p> <table class="wikitable" style="text-align:center"> <tbody><tr> <th style="width:1.5em"> </th> <th style="width:1.5em">0 </th> <th style="width:1.5em">1 </th></tr> <tr> <th>0 </th> <td>0 </td> <td>1 </td></tr> <tr> <th>1 </th> <td>1 </td> <td>10 </td></tr></tbody></table> <p>이진법에서는 수가 2개밖에 없기 때문에 더했을 때 나오는 경우도 4가지밖에 없고, <a href="/wiki/%EB%85%BC%EB%A6%AC%ED%9A%8C%EB%A1%9C" class="mw-redirect" title="논리회로">논리회로</a>로 구성하기도 쉽다. 이를 논리회로로 구성하면 오른쪽과 같다. </p><p>더했을 때 각 자리가 1을 넘으면 받아올림된다는 규칙만 따르면 십진법에서와 마찬가지로 덧셈을 할 수 있다. </p> <pre> 1 1 1 1 1 (<a href="/wiki/%EB%B0%9B%EC%95%84%EC%98%AC%EB%A6%BC" title="받아올림">받아올림</a>) 1 0 1 1 1 + 1 1 0 1 ------------- 1 0 0 1 0 0 </pre> <p>위의 예에서는 10111<sub>(2)</sub>(십진수로 23)과 1101<sub>(2)</sub>(십진수로 13)을 더했다. 그 결과 100100<sub>(2)</sub>가 나왔고, 이는 십진수에서 덧셈한 것과 같이 36이라는 값이다. </p> <div class="mw-heading mw-heading3"><h3 id="빼기"><span id=".EB.B9.BC.EA.B8.B0"></span>빼기</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=6" title="부분 편집: 빼기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>이진법에서 윗자리에서 수를 받아내려올 때 2씩 받아내려온다는 규칙을 지키면 십진법에서와 마찬가지로 뺄셈을 할 수 있다. </p> <pre> 2 2 2 2 (<a href="/wiki/%EB%B0%9B%EC%95%84%EB%82%B4%EB%A6%BC" title="받아내림">받아내림</a>) 1 <del>1</del> 0 <del>1</del> <del>1</del> <del>1</del> 0 − 1 0 1 1 1 ---------------- 1 0 1 0 1 1 1 </pre> <p>첫째 자리에서는 0 (적은 수)에서 1 (큰 수)를 빼야하기 때문에 그 다음 자리의 수를 하나 줄이면서 (1을 뺀다) 2를 첫째 자리로 가져와서 뺄셈을 한다 (2 - 1 = 1). 첫째 자리로 2를 넘긴 결과, 둘째 자리에서의 뺄셈은 0 - 1 이 되는데 역시 적은 수에서 큰 수를 빼야하기 때문에 그 다음 자리의 수를 하나 줄이면서 2를 가져와서 뺄셈을 한다 (2 - 1 = 1). 나머지 자리에 대해서도 같은 방식의 뺄셈을 한다. </p><p><br /> <a href="/wiki/%EB%B3%B4%EC%88%98_(%EC%88%98%ED%95%99)" title="보수 (수학)">보수</a>를 이용한 또 다른 방법도 있다. 컴퓨터는 뺄셈을 할 때 이 방법을 사용한다. </p> <pre> 0 0 0 0 1 1 0 0 − 0 0 0 0 0 0 1 0 ----------------- 0 0 0 0 1 1 0 0 + 1 1 1 1 1 1 0 1 ----------------- <b>1</b>|0 0 0 0 1 0 0 1 + 1 ----------------- 1 0 1 0 </pre> <p>A-B가 있으면 B에 <a href="/wiki/1%EC%9D%98_%EB%B3%B4%EC%88%98" title="1의 보수">1의 보수</a>를 적용하고 뺄셈을 덧셈으로 전환하여 계산한다. 여기에서 <b>굵음체</b>로 표기된 올림수가 있을 경우 그대로 1을 더하고 0일경우 더하지 말고 다시 한번 1의 보수를 적용한다. </p> <dl><dd>0 − 0 → 0</dd> <dd>0 − 1 → 1, 내림 1</dd> <dd>1 − 0 → 1</dd> <dd>1 − 1 → 0</dd></dl> <pre> 1 1 1 1 (받아 내림) 1 1 0 1 0 1 0 − 1 0 0 1 1 ---------------- 1 0 0 0 1 1 0 + 1 1 ---------------- 1 0 1 0 1 1 1 </pre> <p>예에서는 11010<sub>(2)</sub>(십진수로 26)과 1011010<sub>(2)</sub>(십진수로 90)을 빼기하면, 그 결과 값이 -1000000<sub>(2)</sub>가 나왔고, 이는 십진수에서 뺄셈한 것과 같이 -64이라는 값이다. </p><p>뺄셈은 작은 수에서 큰 수를 뺄 때 큰 수 빼기 작은 수를 한 다음 -1을 곱하는 것에 주의해야 한다. </p> <pre> 1 1 0 1 0 - 1 0 1 1 0 1 0 ----------------- </pre> <p>위의 식에서 감수와 피감수의 자리를 바꾼 다음 값에 음수를 넣는다. </p> <pre> 1 0 1 1 0 1 0 - 1 1 0 1 0 ----------------- - 1 0 0 0 0 0 0 </pre> <div class="mw-heading mw-heading3"><h3 id="곱하기"><span id=".EA.B3.B1.ED.95.98.EA.B8.B0"></span>곱하기</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=7" title="부분 편집: 곱하기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>이진수에서의 곱하기도 십진수와 마찬가지 방법으로 한다. 아래는 두 비트를 곱했을 때 나올 수 있는 모든 경우를 나열한 것이다. </p> <ul><li><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 0\times 0=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> <mo>×</mo> <mn>0</mn> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0\times 0=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4f0e6fbb14cd6906a2003365ea58e14f5b84f25e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.426ex; height:2.176ex;" alt="{\displaystyle 0\times 0=0}"></span></li> <li><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 0\times 1=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> <mo>×</mo> <mn>1</mn> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0\times 1=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4c65ddcd962a2af42cbfe921fd250a7f1073ddfb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.426ex; height:2.176ex;" alt="{\displaystyle 0\times 1=0}"></span></li> <li><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 1\times 0=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>×</mo> <mn>0</mn> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1\times 0=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8eb6408785b47c32ad892e6081d661b9a57db900" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.426ex; height:2.176ex;" alt="{\displaystyle 1\times 0=0}"></span></li> <li><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 1\times 1=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>×</mo> <mn>1</mn> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1\times 1=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/226eaf9e45eea9a56f6a7f3993a6b20de0abe4bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.426ex; height:2.176ex;" alt="{\displaystyle 1\times 1=1}"></span></li></ul> <p>한 쪽이 0이면 무조건 0이 나오고, 한쪽이 1이면 무조건 반대쪽과 같은 수가 나온다는 성질 때문에 이진수의 곱셈은 십진수의 곱셈보다 간단하다. </p> <dl><dd>1 0 1 1 (A)</dd> <dd>× 1 0 1 0 (B)</dd> <dd>---------</dd> <dd>0 0 0 0 ← B의 1의 자리가 0이므로 0.</dd> <dd>+ 1 0 1 1 ← B의 10의 자리가 1이므로 A를 그대로 내려적음.</dd> <dd>+ 0 0 0 0 ← B의 100의 자리가 0이므로 0.</dd> <dd>+ 1 0 1 1 ← B의 1000의 자리가 1이므로 A를 그대로 내려적음.</dd> <dd>--------------- ← 모두 더한다.</dd> <dd>= 1 1 0 1 1 1 0</dd></dl> <div class="mw-heading mw-heading3"><h3 id="나누기"><span id=".EB.82.98.EB.88.84.EA.B8.B0"></span>나누기</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=8" title="부분 편집: 나누기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>이진법에서의 나누기 역시 십진법의 나누기와 비슷하다. 예를 들어서, 11011<sub>(2)</sub> 나누기 101<sub>(2)</sub>는 십진법 27 나누기 5의 몫이 5고, 나머지가 2인 것과 결과가 같다. </p> <pre> 1 0 1 __________ 1 0 1 |1 1 0 1 1 − 1 0 1 ----- 0 0 1 1 − 0 0 0 0 ------- 0 0 1 1 1 − 0 0 1 0 1 --------- 0 0 0 1 0 </pre> <div class="mw-heading mw-heading3"><h3 id="제곱근"><span id=".EC.A0.9C.EA.B3.B1.EA.B7.BC"></span>제곱근</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=9" title="부분 편집: 제곱근"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>이진법의 제곱근을 자리마다 구하는 과정은 십진법의 제곱근을 자리마다 구하는 과정과 같으며, <a href="/wiki/%EC%A0%9C%EA%B3%B1%EA%B7%BC" title="제곱근">여기</a>에 설명되어 있다. 예를 들어, 1010001<sub>(2)</sub>의 제곱근을 구하는 방법은 아래와 같다: </p> <pre> 1 0 0 1 --------- √ 1010001 1 --------- 101 01 0 -------- 1001 100 0 -------- 10001 10001 10001 ------- 0 </pre> <p>1010001<sub>(2)</sub>의 제곱근은 1001<sub>(2)</sub>인데 이는 십진법 81의 제곱근이 9라는 것과 일치한다. </p> <div class="mw-heading mw-heading2"><h2 id="십진법과의_관계"><span id=".EC.8B.AD.EC.A7.84.EB.B2.95.EA.B3.BC.EC.9D.98_.EA.B4.80.EA.B3.84"></span>십진법과의 관계</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=10" title="부분 편집: 십진법과의 관계"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>일반적으로 이진법의 <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 i}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>i</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle i}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/add78d8608ad86e54951b8c8bd6c8d8416533d20" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.802ex; height:2.176ex;" alt="{\displaystyle i}"></span>번째 자리수는 <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 2^{i-1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{i-1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de838b503259acc792dd682654445984ea6e4c6d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.063ex; height:2.676ex;" alt="{\displaystyle 2^{i-1}}"></span> 크기를 갖는다. 따라서 이진법 110010101101<sub>(2)</sub>은 다음과 같이 변환된다. </p> <dl><dd>이진법: 1 1 0 0 1 0 1 0 1 1 0 1</dd> <dd>십진법: 1×2<sup>11</sup> + 1×2<sup>10</sup> + 0×2<sup>9</sup> + 0×2<sup>8</sup> + 1×2<sup>7</sup> + 0×2<sup>6</sup> + 1×2<sup>5</sup> + 0×2<sup>4</sup> + 1×2<sup>3</sup> + 1×2<sup>2</sup> + 0×2<sup>1</sup> + 1×2<sup>0</sup> = 3245</dd></dl> <p>다음과 같은 방법으로도 이진법을 십진법으로 바꿀 수 있다. </p> <dl><dd><table class="wikitable"> <tbody><tr> <th>전의 값 </th> <th>× 2 + </th> <th>다음 자리 </th> <th>다음 값 </th></tr> <tr> <td></td> <td></td> <td></td> <td>= 0 </td></tr> <tr> <td align="right">0</td> <td>× 2 +</td> <td><b>1</b></td> <td>= 1 </td></tr> <tr> <td align="right">1</td> <td>× 2 +</td> <td><b>1</b></td> <td>= 3 </td></tr> <tr> <td align="right">3</td> <td>× 2 +</td> <td><b>0</b></td> <td>= 6 </td></tr> <tr> <td align="right">6</td> <td>× 2 +</td> <td><b>0</b></td> <td>= 12 </td></tr> <tr> <td align="right">12</td> <td>× 2 +</td> <td><b>1</b></td> <td>= 25 </td></tr> <tr> <td align="right">25</td> <td>× 2 +</td> <td><b>0</b></td> <td>= 50 </td></tr> <tr> <td align="right">50</td> <td>× 2 +</td> <td><b>1</b></td> <td>= 101 </td></tr> <tr> <td align="right">101</td> <td>× 2 +</td> <td><b>0</b></td> <td>= 202 </td></tr> <tr> <td align="right">202</td> <td>× 2 +</td> <td><b>1</b></td> <td>= 405 </td></tr> <tr> <td align="right">405</td> <td>× 2 +</td> <td><b>1</b></td> <td>= 811 </td></tr> <tr> <td align="right">811</td> <td>× 2 +</td> <td><b>0</b></td> <td>= 1622 </td></tr> <tr> <td align="right">1622</td> <td>× 2 +</td> <td><b>1</b></td> <td>= <b>3245</b> </td></tr></tbody></table></dd></dl> <div class="mw-heading mw-heading2"><h2 id="같이_보기"><span id=".EA.B0.99.EC.9D.B4_.EB.B3.B4.EA.B8.B0"></span>같이 보기</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=11" title="부분 편집: 같이 보기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r36480479">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><div class="side-box metadata side-box-right plainlinks"><style data-mw-deduplicate="TemplateStyles:r36480595">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist"><b><a href="/wiki/%EC%9C%84%ED%82%A4%EB%AF%B8%EB%94%94%EC%96%B4_%EA%B3%B5%EC%9A%A9" title="위키미디어 공용">위키미디어 공용</a></b>에 관련된<br />미디어 분류가 있습니다.<div style="padding-left:1em;"><b><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Binary_numeral_system?uselang=ko">이진법</a></b></div></div></div> </div> <ul><li><a href="/wiki/%EC%9D%B4%EC%A7%84%ED%99%94_%EC%8B%AD%EC%A7%84%EB%B2%95" title="이진화 십진법">이진화 십진법</a></li> <li><a href="/wiki/%EC%84%A0%ED%98%95_%EB%90%98%EB%A8%B9%EC%9E%84_%EC%8B%9C%ED%94%84%ED%8A%B8_%EB%A0%88%EC%A7%80%EC%8A%A4%ED%84%B0" title="선형 되먹임 시프트 레지스터">선형 되먹임 시프트 레지스터</a></li> <li><a href="/wiki/%EA%B8%B0%EC%88%98%EB%B2%95" title="기수법">기수법</a></li> <li><a href="/wiki/%EA%B8%B0%EC%88%98%EB%B2%95#진수" title="기수법">진수</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="각주"><span id=".EA.B0.81.EC.A3.BC"></span>각주</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%9D%B4%EC%A7%84%EB%B2%95&action=edit&section=12" title="부분 편집: 각주"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r35556958">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><cite class="citation book">Abdelwahab Kharab; Ronald B. Guenther (2013). 《An Introduction to Numerical Methods A MATLAB Approach》 [이공학도를 위한 수치해석]. 학산미디어. 23쪽. <a href="/wiki/%EA%B5%AD%EC%A0%9C_%ED%91%9C%EC%A4%80_%EB%8F%84%EC%84%9C_%EB%B2%88%ED%98%B8" class="mw-redirect" title="국제 표준 도서 번호">ISBN</a> <a href="/wiki/%ED%8A%B9%EC%88%98:%EC%B1%85%EC%B0%BE%EA%B8%B0/978-89-966211-8-8" title="특수:책찾기/978-89-966211-8-8"><bdi>978-89-966211-8-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=An+Introduction+to+Numerical+Methods+A+MATLAB+Approach&rft.pages=23&rft.pub=%ED%95%99%EC%82%B0%EB%AF%B8%EB%94%94%EC%96%B4&rft.date=2013&rft.isbn=978-89-966211-8-8&rft.au=Abdelwahab+Kharab&rft.au=Ronald+B.+Guenther&rfr_id=info%3Asid%2Fko.wikipedia.org%3A%EC%9D%B4%EC%A7%84%EB%B2%95" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><style 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