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<span>Notation</span> </div> </a> <button aria-controls="toc-Notation-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>Toggle Notation subsection</span> </button> <ul id="toc-Notation-sublist" class="vector-toc-list"> <li id="toc-Expressions_as_operands" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Expressions_as_operands"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Expressions as operands</span> </div> </a> <ul id="toc-Expressions_as_operands-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-×" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#×"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>×</span> </div> </a> <ul id="toc-×-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Positioning_of_operands" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Positioning_of_operands"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Positioning of operands</span> </div> </a> <ul id="toc-Positioning_of_operands-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Infix_and_the_order_of_operation" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Infix_and_the_order_of_operation"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Infix and the order of operation</span> </div> </a> <ul id="toc-Infix_and_the_order_of_operation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Arity" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Arity"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.5</span> <span>Arity</span> </div> </a> <ul id="toc-Arity-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Computer_science" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Computer_science"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Computer science</span> </div> </a> <ul id="toc-Computer_science-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> 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<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">Operand</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="Go to an article in another language. Available in 44 languages" > <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-44" 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">44 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%A4%D8%AB%D8%B1_%D9%81%D9%8A%D9%87" title="مؤثر فيه – Arabic" lang="ar" hreflang="ar" data-title="مؤثر فيه" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%85%E0%A6%AA%E0%A6%BE%E0%A6%B0%E0%A7%87%E0%A6%A8%E0%A7%8D%E0%A6%A1" title="অপারেন্ড – Bangla" lang="bn" hreflang="bn" data-title="অপারেন্ড" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%BF%D0%B5%D1%80%D0%B0%D0%BD%D0%B4" title="Аперанд – Belarusian" lang="be" hreflang="be" data-title="Аперанд" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%90%D0%BF%D1%8D%D1%80%D0%B0%D0%BD%D0%B4" title="Апэранд – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Апэранд" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Operand" title="Operand – Catalan" lang="ca" hreflang="ca" data-title="Operand" data-language-autonym="Català" data-language-local-name="Catalan" 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/Operand" title="Operand – Czech" lang="cs" hreflang="cs" data-title="Operand" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Operand" title="Operand – Estonian" lang="et" hreflang="et" data-title="Operand" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Operando" title="Operando – Spanish" lang="es" hreflang="es" data-title="Operando" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Operando" title="Operando – Esperanto" lang="eo" hreflang="eo" data-title="Operando" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Eragigai_(matematika)" title="Eragigai (matematika) – Basque" lang="eu" hreflang="eu" data-title="Eragigai (matematika)" data-language-autonym="Euskara" data-language-local-name="Basque" 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%B9%D9%85%D9%84%D9%88%D9%86%D8%AF" title="عملوند – Persian" lang="fa" hreflang="fa" data-title="عملوند" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Op%C3%A9rande" title="Opérande – French" lang="fr" hreflang="fr" data-title="Opérande" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Operando" title="Operando – Galician" lang="gl" hreflang="gl" data-title="Operando" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%94%BC%EC%97%B0%EC%82%B0%EC%9E%90" title="피연산자 – Korean" lang="ko" hreflang="ko" data-title="피연산자" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Operand" title="Operand – Croatian" lang="hr" hreflang="hr" data-title="Operand" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Operan" title="Operan – Indonesian" lang="id" hreflang="id" data-title="Operan" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Operando_(mathematica)" title="Operando (mathematica) – Interlingua" lang="ia" hreflang="ia" data-title="Operando (mathematica)" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%95%D7%A4%D7%A8%D7%A0%D7%93" title="אופרנד – Hebrew" lang="he" hreflang="he" data-title="אופרנד" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9E%D0%BF%D0%B5%D1%80%D0%B0%D0%BD%D0%B4" title="Операнд – Kazakh" lang="kk" hreflang="kk" data-title="Операнд" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Operandas" title="Operandas – Lithuanian" lang="lt" hreflang="lt" data-title="Operandas" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Operandus" title="Operandus – Hungarian" lang="hu" hreflang="hu" data-title="Operandus" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Operand" title="Operand – Dutch" lang="nl" hreflang="nl" data-title="Operand" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E8%A2%AB%E6%BC%94%E7%AE%97%E5%AD%90" title="被演算子 – Japanese" lang="ja" hreflang="ja" data-title="被演算子" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Operand" title="Operand – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Operand" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Operand" title="Operand – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Operand" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9E%D0%BF%D0%B5%D1%80%D0%B0%D0%BD%D0%B4" title="Операнд – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Операнд" 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-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Operand" title="Operand – Polish" lang="pl" hreflang="pl" data-title="Operand" data-language-autonym="Polski" data-language-local-name="Polish" 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/Operando" title="Operando – Portuguese" lang="pt" hreflang="pt" data-title="Operando" data-language-autonym="Português" data-language-local-name="Portuguese" 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/Operand" title="Operand – Romanian" lang="ro" hreflang="ro" data-title="Operand" data-language-autonym="Română" data-language-local-name="Romanian" 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%9E%D0%BF%D0%B5%D1%80%D0%B0%D0%BD%D0%B4" title="Операнд – Russian" lang="ru" hreflang="ru" data-title="Операнд" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Operand" title="Operand – Simple English" lang="en-simple" hreflang="en-simple" data-title="Operand" 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/Operand" title="Operand – Slovak" lang="sk" hreflang="sk" data-title="Operand" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Uoperand" title="Uoperand – Silesian" lang="szl" hreflang="szl" data-title="Uoperand" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%98%D9%85%DB%8E%D8%B1%DB%95%D9%BE%DB%8E%DA%A9%D8%B1%D8%A7%D9%88" title="ژمێرەپێکراو – Central Kurdish" lang="ckb" hreflang="ckb" data-title="ژمێرەپێکراو" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9E%D0%BF%D0%B5%D1%80%D0%B0%D0%BD%D0%B4" title="Операнд – Serbian" lang="sr" hreflang="sr" data-title="Операнд" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Operand" title="Operand – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Operand" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Operandi" title="Operandi – Finnish" lang="fi" hreflang="fi" data-title="Operandi" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Operand" title="Operand – Swedish" lang="sv" hreflang="sv" data-title="Operand" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Operando" title="Operando – Tagalog" lang="tl" hreflang="tl" data-title="Operando" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AF%86%E0%AE%AF%E0%AE%B2%E0%AF%81%E0%AE%9F%E0%AF%8D%E0%AE%AA%E0%AE%9F%E0%AF%81%E0%AE%A4%E0%AF%8D%E0%AE%A4%E0%AE%BF" title="செயலுட்படுத்தி – Tamil" lang="ta" hreflang="ta" data-title="செயலுட்படுத்தி" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9E%D0%BF%D0%B5%D1%80%D0%B0%D0%BD%D0%B4" title="Операнд – Ukrainian" lang="uk" hreflang="uk" data-title="Операнд" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/To%C3%A1n_h%E1%BA%A1ng" title="Toán hạng – Vietnamese" lang="vi" hreflang="vi" data-title="Toán hạng" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%81%8B%E7%AE%97%E6%95%B8" title="運算數 – Cantonese" lang="yue" hreflang="yue" data-title="運算數" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%81%8B%E7%AE%97%E6%95%B8" title="運算數 – Chinese" lang="zh" hreflang="zh" data-title="運算數" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q719375#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav 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class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Object of a mathematical operation, quantity on which an operation is performed</div> <p>In <a href="/wiki/Mathematics" title="Mathematics">mathematics</a>, an <b>operand</b> is the object of a <a href="/wiki/Mathematical_operation" class="mw-redirect" title="Mathematical operation">mathematical operation</a>, i.e., it is the object or quantity that is operated on.<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> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Example">Example</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operand&action=edit&section=1" title="Edit section: Example"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The following <a href="/wiki/Arithmetic" title="Arithmetic">arithmetic</a> expression shows an example of operators and operands: </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 3+6=9}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>+</mo> <mn>6</mn> <mo>=</mo> <mn>9</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3+6=9}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0054171313abcf8cc2eae2ab0089333f1871d919" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 3+6=9}"></span></dd></dl> <p>In the above example, '+' is the symbol for the operation called <a href="/wiki/Addition" title="Addition">addition</a>. </p><p>The <b>operand</b> '3' is one of the inputs (quantities) followed by the addition <a href="/wiki/Operator_(mathematics)" title="Operator (mathematics)">operator</a>, and the operand '6' is the other input necessary for the operation. </p><p>The result of the operation is 9. (The number '9' is also called the sum of the augend 3 and the addend 6.) </p><p>An operand, then, is also referred to as "one of the inputs (quantities) for an operation". </p> <div class="mw-heading mw-heading2"><h2 id="Notation">Notation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operand&action=edit&section=2" title="Edit section: Notation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Expressions_as_operands">Expressions as operands</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operand&action=edit&section=3" title="Edit section: Expressions as operands"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Operands may be nested, and may consist of expressions also made up of operators with operands. </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 (3+5)\times 2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mn>3</mn> <mo>+</mo> <mn>5</mn> <mo stretchy="false">)</mo> <mo>×</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (3+5)\times 2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b5fe869b4fb344789cfb36c735e98a7e0bf7784e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.977ex; height:2.843ex;" alt="{\displaystyle (3+5)\times 2}"></span></dd></dl> <p>In the above expression '(3 + 5)' is the first operand for the multiplication operator and '2' the second. The operand '(3 + 5)' is an expression in itself, which contains an addition operator, with the operands '3' and '5'. </p> <div class="mw-heading mw-heading3"><h3 id="×"><span id=".C3.97"></span>×</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operand&action=edit&section=4" title="Edit section: ×"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Order_of_operations" title="Order of operations">Rules of precedence</a> affect which values form operands for which operators:<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </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 3+5\times 2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>+</mo> <mn>5</mn> <mo>×</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3+5\times 2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f0227218c867c58300fda79046f6a73909083391" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.168ex; height:2.343ex;" alt="{\displaystyle 3+5\times 2}"></span></dd></dl> <p>In the above expression, the multiplication operator has the higher precedence than the addition operator, so the multiplication operator has operands of '5' and '2'. The addition operator has operands of '3' and '5 × 2'. </p> <div class="mw-heading mw-heading3"><h3 id="Positioning_of_operands">Positioning of operands</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operand&action=edit&section=5" title="Edit section: Positioning of operands"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Depending on the <a href="/wiki/Mathematical_notation" title="Mathematical notation">mathematical notation</a> being used the position of an operator in relation to its operand(s) may vary. In everyday usage <a href="/wiki/Infix_notation" title="Infix notation">infix notation</a> is the most common,<sup id="cite_ref-Infix,_Postfix_and_Prefix_3-0" class="reference"><a href="#cite_note-Infix,_Postfix_and_Prefix-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> however other notations also exist, such as the <a href="/wiki/Prefix_notation" class="mw-redirect" title="Prefix notation">prefix</a> and <a href="/wiki/Postfix_notation" class="mw-redirect" title="Postfix notation">postfix</a> notations. These alternate notations are most common within <a href="/wiki/Computer_science" title="Computer science">computer science</a>. </p><p>Below is a comparison of three different notations — all represent an addition of the numbers '1' and '2' </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 1+2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>+</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1+2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e0088d16fd19c58d70489d7954127536f683119a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.165ex; height:2.343ex;" alt="{\displaystyle 1+2}"></span> (infix notation)</dd></dl> <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 +\;1\;2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>+</mo> <mspace width="thickmathspace" /> <mn>1</mn> <mspace width="thickmathspace" /> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle +\;1\;2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4f61b6f82556b71a22212e8a9f2e40033c292a47" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.423ex; height:2.343ex;" alt="{\displaystyle +\;1\;2}"></span> (prefix notation)</dd></dl> <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 1\;2\;+}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mspace width="thickmathspace" /> <mn>2</mn> <mspace width="thickmathspace" /> <mo>+</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1\;2\;+}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2ad6c32bf0f427ff8fb6cd716b2adb0d4d63ba05" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.423ex; height:2.343ex;" alt="{\displaystyle 1\;2\;+}"></span> (postfix notation)</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Infix_and_the_order_of_operation">Infix and the order of operation</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operand&action=edit&section=6" title="Edit section: Infix and the order of operation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Order_of_operations" title="Order of operations">Order of operations</a></div> <p>In a mathematical expression, the order of operation is carried out from left to right. Start with the leftmost value and seek the first operation to be carried out in accordance with the order specified above (i.e., start with parentheses and end with the addition/subtraction group). For example, in the expression </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 4\times 2^{2}-(2+2^{2})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>×</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mo>+</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4\times 2^{2}-(2+2^{2})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dd95eb99af928cc7d4648427e75dc3a07fb228ea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.089ex; height:3.176ex;" alt="{\displaystyle 4\times 2^{2}-(2+2^{2})}"></span>,</dd></dl> <p>the first operation to be acted upon is any and all expressions found inside a parenthesis. So beginning at the left and moving to the right, find the first (and in this case, the only) parenthesis, that is, (2 + 2<sup>2</sup>). Within the parenthesis itself is found the expression 2<sup>2</sup>. The reader is required to find the value of 2<sup>2</sup> before going any further. The value of 2<sup>2</sup> is 4. Having found this value, the remaining expression looks like this: </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 4\times 2^{2}-(2+4)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>×</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mo>+</mo> <mn>4</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4\times 2^{2}-(2+4)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3f22aa8c4d010336c0c61fe3ab0f864aeeaa6cb0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.035ex; height:3.176ex;" alt="{\displaystyle 4\times 2^{2}-(2+4)}"></span></dd></dl> <p>The next step is to calculate the value of expression inside the parenthesis itself, that is, (2 + 4) = 6. Our expression now looks like this: </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 4\times 2^{2}-6}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>×</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mn>6</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4\times 2^{2}-6}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f7febdc74eb1dc79f1ae7d874285c6523800f771" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:10.222ex; height:2.843ex;" alt="{\displaystyle 4\times 2^{2}-6}"></span></dd></dl> <p>Having calculated the parenthetical part of the expression, we start over again beginning with the left most value and move right. The next order of operation (according to the rules) is exponents. Start at the left most value, that is, 4, and scan your eyes to the right and search for the first exponent you come across. The first (and only) expression we come across that is expressed with an exponent is 2<sup>2</sup>. We find the value of 2<sup>2</sup>, which is 4. What we have left is the expression </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 4\times 4-6}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>×</mo> <mn>4</mn> <mo>−</mo> <mn>6</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4\times 4-6}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/45f58bf251e1c986519bcbfad8d3ec4ecf5ef03a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.168ex; height:2.343ex;" alt="{\displaystyle 4\times 4-6}"></span>.</dd></dl> <p>The next order of operation is multiplication. 4 × 4 is 16. Now our expression looks like this: </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 16-6}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>16</mn> <mo>−</mo> <mn>6</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 16-6}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4d661fbc87f41a63d1387e6715e6a6b3625d737a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.328ex; height:2.343ex;" alt="{\displaystyle 16-6}"></span></dd></dl> <p>The next order of operation according to the rules is division. However, there is no division operator sign (÷) in the expression, 16 − 6. So we move on to the next order of operation, i.e., addition and subtraction, which have the same precedence and are done left to right. </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 16-6=10}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>16</mn> <mo>−</mo> <mn>6</mn> <mo>=</mo> <mn>10</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 16-6=10}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e51fcd8c12e4e90d5241446706c95d7dd4379e46" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:11.751ex; height:2.343ex;" alt="{\displaystyle 16-6=10}"></span>.</dd></dl> <p>So the correct value for our original expression, 4 × 2<sup>2</sup> − (2 + 2<sup>2</sup>), is 10. </p><p>It is important to carry out the order of operation in accordance with rules set by convention. If the reader evaluates an expression but does not follow the correct order of operation, the reader will come forth with a different value. The different value will be the incorrect value because the order of operation was not followed. The reader will arrive at the correct value for the expression if and only if each operation is carried out in the proper order. </p> <div class="mw-heading mw-heading3"><h3 id="Arity">Arity</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operand&action=edit&section=7" title="Edit section: Arity"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The number of operands of an operator is called its <a href="/wiki/Arity" title="Arity">arity</a>.<sup id="cite_ref-Hazewinkel2001_4-0" class="reference"><a href="#cite_note-Hazewinkel2001-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> Based on arity, operators are chiefly classified as nullary (no operands), <a href="/wiki/Unary_operation" title="Unary operation">unary</a> (1 operand), <a href="/wiki/Binary_operation" title="Binary operation">binary</a> (2 operands), <a href="/wiki/Ternary_operation" title="Ternary operation">ternary</a> (3 operands). Higher arities are less frequently denominated through a specific terms, all the more when function composition or <a href="/wiki/Currying" title="Currying">currying</a> can be used to avoid them. Other terms include: </p> <style data-mw-deduplicate="TemplateStyles:r1184024115">.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="div-col"> <ul><li>quaternary, tetranary (4)</li> <li>quinary, quintenary, quinquennary (5)</li> <li>hexanary, senary, sexenary (6)</li> <li>septenary (7)</li> <li>octonary (8)</li> <li>nonary, novenary (9)</li> <li>denary (10)</li> <li>undenary (11)</li> <li>duodenary (12)</li> <li>tridecennary (13)</li> <li>quindenary (15)</li> <li>vigenary (20)</li> <li>quadringenary (40)</li> <li>quinquagenary (50)</li> <li>sexagenary (60)</li> <li>septuagenary (70)</li> <li>octogenary (80)</li> <li>nonagenary (90)</li> <li>centenary (100)</li> <li>sesquicentenary (150)</li> <li>bicentenary (200)</li> <li>tercentenary, tricentenary (300)</li> <li>quadringentenary, quatercentenary (400)</li> <li>quincentenary (500)</li> <li>sexcentenary (600)</li> <li>septcentenary (700)</li> <li>octocentenary (800)</li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Computer_science">Computer science</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operand&action=edit&section=8" title="Edit section: Computer science"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In computer <a href="/wiki/Programming_language" title="Programming language">programming languages</a>, the definitions of <a href="/wiki/Operator_(programming)" class="mw-redirect" title="Operator (programming)">operator</a> and <b>operand</b> are almost the same as in mathematics. </p><p>In computing, an <b>operand</b> is the part of a computer instruction which specifies what data is to be manipulated or operated on, while at the same time representing the data itself.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> A computer instruction describes an operation such as add or multiply X, while the operand (or operands, as there can be more than one) specify on which X to operate as well as the value of X. </p><p>Additionally, in <a href="/wiki/Assembly_language" title="Assembly language">assembly language</a>, an <b>operand</b> is a value (an argument) on which the <a href="/wiki/Instruction_(computer_science)" class="mw-redirect" title="Instruction (computer science)">instruction</a>, named by <a href="/wiki/Mnemonic" title="Mnemonic">mnemonic</a>, operates. The operand may be a <a href="/wiki/Processor_register" title="Processor register">processor register</a>, a <a href="/wiki/Memory_address" title="Memory address">memory address</a>, a literal constant, or a label. A simple example (in the <a href="/wiki/X86" title="X86">x86</a> architecture) is </p> <div class="mw-highlight mw-highlight-lang-asm mw-content-ltr" dir="ltr"><pre><span></span><span class="nf">MOV</span><span class="w"> </span><span class="no">DS</span><span class="p">,</span><span class="w"> </span><span class="no">AX</span> </pre></div> <p>where the value in register operand <code>AX</code> is to be moved (<code><a href="/wiki/MOV_(x86_instruction)" class="mw-redirect" title="MOV (x86 instruction)">MOV</a></code>) into register <code>DS</code>. Depending on the <a href="/wiki/Instruction_set" class="mw-redirect" title="Instruction set">instruction</a>, there may be zero, one, two, or more operands. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Operand&action=edit&section=9" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1266661725">.mw-parser-output .portalbox{padding:0;margin:0.5em 0;display:table;box-sizing:border-box;max-width:175px;list-style:none}.mw-parser-output .portalborder{border:1px solid var(--border-color-base,#a2a9b1);padding:0.1em;background:var(--background-color-neutral-subtle,#f8f9fa)}.mw-parser-output .portalbox-entry{display:table-row;font-size:85%;line-height:110%;height:1.9em;font-style:italic;font-weight:bold}.mw-parser-output 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<style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.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"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">American Heritage Dictionary</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://publish.aps.org/files/styleguide-pr.pdf">"Physical Review Style and Notation Guide"</a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/American_Physical_Society" title="American Physical Society">American Physical Society</a>. Section IV–E–2–e<span class="reference-accessdate">. Retrieved <span class="nowrap">5 August</span> 2012</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Physical+Review+Style+and+Notation+Guide&rft.pages=Section+IV-E-2-e&rft.pub=American+Physical+Society&rft_id=https%3A%2F%2Fpublish.aps.org%2Ffiles%2Fstyleguide-pr.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOperand" class="Z3988"></span></span> </li> <li id="cite_note-Infix,_Postfix_and_Prefix-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-Infix,_Postfix_and_Prefix_3-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.cs.man.ac.uk/~pjj/cs212/fix.html">"The Implementation and Power of Programming Languages"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">30 August</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=The+Implementation+and+Power+of+Programming+Languages&rft_id=http%3A%2F%2Fwww.cs.man.ac.uk%2F~pjj%2Fcs212%2Ffix.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOperand" class="Z3988"></span></span> </li> <li id="cite_note-Hazewinkel2001-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-Hazewinkel2001_4-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMichiel_Hazewinkel2001" class="citation book cs1"><a href="/wiki/Michiel_Hazewinkel" title="Michiel Hazewinkel">Michiel Hazewinkel</a> (2001). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=47YC2h295JUC&pg=PA3"><i>Encyclopaedia of Mathematics, Supplement III</i></a>. Springer. p. 3. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-4020-0198-7" title="Special:BookSources/978-1-4020-0198-7"><bdi>978-1-4020-0198-7</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Encyclopaedia+of+Mathematics%2C+Supplement+III&rft.pages=3&rft.pub=Springer&rft.date=2001&rft.isbn=978-1-4020-0198-7&rft.au=Michiel+Hazewinkel&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D47YC2h295JUC%26pg%3DPA3&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOperand" class="Z3988"></span>: "Each connective has associated with it a natural number, called its <i>rank</i>, or <i>arity</i>."</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFNell_Dale_and_John_Lewis2012" class="citation book cs1">Nell Dale and John Lewis (2012). <i>Computer Science Illuminated, 5th Edition</i>. Jones and Bartlett. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1449672843" title="Special:BookSources/978-1449672843"><bdi>978-1449672843</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Computer+Science+Illuminated%2C+5th+Edition&rft.pub=Jones+and+Bartlett&rft.date=2012&rft.isbn=978-1449672843&rft.au=Nell+Dale+and+John+Lewis&rfr_id=info%3Asid%2Fen.wikipedia.org%3AOperand" class="Z3988"></span></span> </li> </ol></div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Operand&oldid=1273273309">https://en.wikipedia.org/w/index.php?title=Operand&oldid=1273273309</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:Algebra" title="Category:Algebra">Algebra</a></li><li><a href="/wiki/Category:Mathematical_notation" title="Category:Mathematical notation">Mathematical notation</a></li><li><a href="/wiki/Category:Operators_(programming)" title="Category:Operators (programming)">Operators (programming)</a></li><li><a href="/wiki/Category:Machine_code" title="Category:Machine code">Machine code</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:Articles_with_short_description" title="Category:Articles with short description">Articles with short description</a></li><li><a href="/wiki/Category:Short_description_matches_Wikidata" title="Category:Short description matches Wikidata">Short description matches Wikidata</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 1 February 2025, at 15:36<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. 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