First, you use a pair of NAND gates configured as NOT gates to invert the two inputs. Then the third NAND gate produces a LOW output if both of ...
{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T18:35:43+00:00","modifiedTime":"2016-03-26T18:35:43+00:00","timestamp":"2022-06-22T19:26:18+00:00"},"data":{"breadcrumbs":[{"name":"Technology","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33512"},"slug":"technology","categoryId":33512},{"name":"Electronics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33543"},"slug":"electronics","categoryId":33543},{"name":"GeneralElectronics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33571"},"slug":"general-electronics","categoryId":33571}],"title":"ElectronicsLogicGates:UniversalNANDGates ","strippedTitle":"electronicslogicgates:universalnandgates","slug":"electronics-logic-gates-universal-nand-gates","canonicalUrl":"","seo":{"metaDescription":"ThefactthattheNAND(not-and)gateisauniversalgateinelectronicsisincrediblyusefulbecauseitenablesyoutobuildanylogiccircuit,simpleorco","noIndex":0,"noFollow":0},"content":"
ThefactthattheNAND(not- and )gateisauniversalgateinelectronicsisincrediblyusefulbecauseitenablesyoutobuildanylogiccircuit,simpleorcomplex,byusingjustNANDgates.
\n
Whenyoubegintobuildyourowndigitalcircuits,youcanstockuponintegratedcircuitsthatcontainjustNANDgatesandbeassuredthatyoucanbuildeventhemostcomplexcircuitswithyourstockofNANDgates.
\n
\n
\nNOT: YoucancreateaNOTgatefromaNANDgatesimplybytyingthetwoinputsoftheNANDgatetogether.\nBecausethetwoinputsoftheNANDgatearetiedtogether,onlytwoinputcombinationsarepossible:bothHIGHorbothLOW.IfbothinputsareHIGH,theNANDgatewilloutputaLOW.IfbothinputsareLOW,theNANDgatewilloutputHIGH.Thus,thecircuitbehavesexactlyasaNOTgatewould.\n \nAND: YoucancreateanANDgatebyusingtwoNANDgates.ThefirstNANDgatedoeswhatNANDgatesdo:returnsLOWifbothinputsareHIGHandreturnsHIGHifbothinputsareanythingelse.ThenthesecondNANDgateisconfiguredasaNOTgatetoinverttheoutputfromthefirstNANDgate.\nOneofthebasicrulesofNOTgatesisthatifyouinvertasignaltwice,youendupwiththesamesignal.IftheoriginalinputisHIGH,andyouinvertit,thesignalbecomesLOW.Inverttheinputagain,anditreturnstoHIGH.Withthisruleinmind,youshouldbeabletoseehowthetwoNANDgatesworktogethertocreateanANDgate.\n \nOR: YouneedthreeNANDgatestocreateanORgate.First,youuseapairofNANDgatesconfiguredasNOTgatestoinvertthetwoinputs.ThenthethirdNANDgateproducesaLOWoutputifbothoftheoriginalinputsareLOW.IfoneoftheoriginalinputsisHIGH,orifbothoftheoriginalinputsareHIGH,theoutputofthethirdgateisHIGH.\n \nNOR: IttakesfourNANDgatestocreateaNORgate.ThiscircuitisthesameastheORgatecircuit,withtheadditionofanotherNOTgatetoinverttheoutputfromthethirdNANDgate.InvertingtheoutputchangestheoverallfunctionofthecircuitfromORtoNOR.\n \n","description":"ThefactthattheNAND(not- and )gateisauniversalgateinelectronicsisincrediblyusefulbecauseitenablesyoutobuildanylogiccircuit,simpleorcomplex,byusingjustNANDgates.
\nWhenyoubegintobuildyourowndigitalcircuits,youcanstockuponintegratedcircuitsthatcontainjustNANDgatesandbeassuredthatyoucanbuildeventhemostcomplexcircuitswithyourstockofNANDgates.
\n \n\nNOT: YoucancreateaNOTgatefromaNANDgatesimplybytyingthetwoinputsoftheNANDgatetogether.\nBecausethetwoinputsoftheNANDgatearetiedtogether,onlytwoinputcombinationsarepossible:bothHIGHorbothLOW.IfbothinputsareHIGH,theNANDgatewilloutputaLOW.IfbothinputsareLOW,theNANDgatewilloutputHIGH.Thus,thecircuitbehavesexactlyasaNOTgatewould.\n \nAND: YoucancreateanANDgatebyusingtwoNANDgates.ThefirstNANDgatedoeswhatNANDgatesdo:returnsLOWifbothinputsareHIGHandreturnsHIGHifbothinputsareanythingelse.ThenthesecondNANDgateisconfiguredasaNOTgatetoinverttheoutputfromthefirstNANDgate.\nOneofthebasicrulesofNOTgatesisthatifyouinvertasignaltwice,youendupwiththesamesignal.IftheoriginalinputisHIGH,andyouinvertit,thesignalbecomesLOW.Inverttheinputagain,anditreturnstoHIGH.Withthisruleinmind,youshouldbeabletoseehowthetwoNANDgatesworktogethertocreateanANDgate.\n \nOR: YouneedthreeNANDgatestocreateanORgate.First,youuseapairofNANDgatesconfiguredasNOTgatestoinvertthetwoinputs.ThenthethirdNANDgateproducesaLOWoutputifbothoftheoriginalinputsareLOW.IfoneoftheoriginalinputsisHIGH,orifbothoftheoriginalinputsareHIGH,theoutputofthethirdgateisHIGH.\n \nNOR: IttakesfourNANDgatestocreateaNORgate.ThiscircuitisthesameastheORgatecircuit,withtheadditionofanotherNOTgatetoinverttheoutputfromthethirdNANDgate.InvertingtheoutputchangestheoverallfunctionofthecircuitfromORtoNOR.\n \n","blurb":"","authors":[{"authorId":8946,"name":"DougLowe","slug":"doug-lowe","description":"DougLowe istheinformationtechnologydirectoratBlair,Church&FlynnConsultingEngineers,acivilengineeringfirm.Hehaswrittenmorethan50ForDummies booksontopicsrangingfromJavatoelectronicstoPowerPoint.
","_links":{"self":"https://dummies-api.dummies.com/v2/authors/8946"}}],"primaryCategoryTaxonomy":{"categoryId":33571,"title":"GeneralElectronics","slug":"general-electronics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33571"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[],"relatedArticles":{"fromBook":[],"fromCategory":[{"articleId":239510,"title":"HowtoAssembleaColorOrganCircuit","slug":"assemble-color-organ-circuit","categoryList":["technology","electronics","general-electronics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239510"}},{"articleId":239507,"title":"WhatYouNeedtoBuildaColorOrganCircuit","slug":"need-build-color-organ-circuit","categoryList":["technology","electronics","general-electronics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239507"}},{"articleId":239504,"title":"HowaColorOrganWorks","slug":"color-organ-works","categoryList":["technology","electronics","general-electronics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239504"}},{"articleId":239501,"title":"WhatisaColorOrganCircuit?","slug":"color-organ-circuit","categoryList":["technology","electronics","general-electronics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239501"}},{"articleId":239497,"title":"HowtoUseaColorOrganCircuit","slug":"use-color-organ-circuit","categoryList":["technology","electronics","general-electronics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/239497"}}]},"hasRelatedBookFromSearch":true,"relatedBook":{"bookId":281694,"slug":"electronics-all-in-one-for-dummies","isbn":"9781119822110","categoryList":["technology","electronics","general-electronics"],"amazon":{"default":"https://www.amazon.com/gp/product/1119822114/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119822114/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119822114-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119822114/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119822114/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://catalogimages.wiley.com/images/db/jimages/9781119822110.jpg","width":250,"height":350},"title":"ElectronicsAll-in-OneForDummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"\n
DougLowe istheinformationtechnologydirectoratBlair,Church&FlynnConsultingEngineers,acivilengineeringfirm.Hehaswrittenmorethan50ForDummies booksontopicsrangingfromJavatoelectronicstoPowerPoint.
","authors":[{"authorId":8946,"name":"DougLowe","slug":"doug-lowe","description":"DougLowe istheinformationtechnologydirectoratBlair,Church&FlynnConsultingEngineers,acivilengineeringfirm.Hehaswrittenmorethan50ForDummies booksontopicsrangingfromJavatoelectronicstoPowerPoint.
","_links":{"self":"https://dummies-api.dummies.com/v2/authors/8946"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/281694"}},"collections":[],"articleAds":{"footerAd":"","rightAd":""},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":null,"lifeExpectancySetFrom":null,"dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":179489},"articleLoadedStatus":"success"},"listState":{"list":{},"objectTitle":"","status":"initial","pageType":null,"objectId":null,"page":1,"sortField":"time","sortOrder":1,"categoriesIds":[],"articleTypes":[],"filterData":{},"filterDataLoadedStatus":"initial","pageSize":10},"adsState":{"pageScripts":{"headers":{"timestamp":"2022-07-05T12:59:06+00:00"},"adsId":0,"data":{"scripts":[{"pages":["all"],"location":"header","script":"\r\n","enabled":false},{"pages":["all"],"location":"header","script":"\r\n \r\n","enabled":true},{"pages":["all"],"location":"footer","script":"\r\n\r\n(function(){varg=function(e,h,f,g){\r\nthis.get=function(a){for(vara=a+\"=\",c=document.cookie.split(\";\"),b=0,e=c.length;b=e/100?0:100),a=[h,e,0],this.set(f,a.join(\":\"));elsereturn!0;varc=a[1];if(100==c)return!0;switch(a[0]){case\"v\":return!1;case\"r\":returnc=a[2]%Math.floor(100/c),a[2]++,this.set(f,a.join(\":\")),!c}return!0};\r\nthis.go=function(){if(this.check()){vara=document.createElement(\"script\");a.type=\"text/javascript\";a.src=g;document.body&&document.body.appendChild(a)}};\r\nthis.start=function(){vart=this;\"complete\"!==document.readyState?window.addEventListener?window.addEventListener(\"load\",function(){t.go()},!1):window.attachEvent&&window.attachEvent(\"onload\",function(){t.go()}):t.go()};};\r\ntry{(newg(100,\"r\",\"QSI_S_ZN_5o5yqpvMVjgDOuN\",\"https://zn5o5yqpvmvjgdoun-wiley.siteintercept.qualtrics.com/SIE/?Q_ZID=ZN_5o5yqpvMVjgDOuN\")).start()}catch(i){}})();\r\n\r\n","enabled":false},{"pages":["all"],"location":"header","script":"\r\n","enabled":false},{"pages":["article"],"location":"header","script":"","enabled":true},{"pages":["homepage"],"location":"header","script":" ","enabled":true},{"pages":["homepage","article","category","search"],"location":"footer","script":"\r\n\r\n \r\n \r\n","enabled":true}]}},"pageScriptsLoadedStatus":"success"},"navigationState":{"navigationCollections":[{"collectionId":287568,"title":"BYOB(BeYourOwnBoss)","hasSubCategories":false,"url":"/collection/for-the-entry-level-entrepreneur-287568"},{"collectionId":293237,"title":"BeaRadDad","hasSubCategories":false,"url":"/collection/be-the-best-dad-293237"},{"collectionId":294090,"title":"ContemplatingtheCosmos","hasSubCategories":false,"url":"/collection/theres-something-about-space-294090"},{"collectionId":287563,"title":"ForThoseSeekingPeaceofMind","hasSubCategories":false,"url":"/collection/for-those-seeking-peace-of-mind-287563"},{"collectionId":287570,"title":"FortheAspiringAficionado","hasSubCategories":false,"url":"/collection/for-the-bougielicious-287570"},{"collectionId":291903,"title":"FortheBuddingCannabisEnthusiast","hasSubCategories":false,"url":"/collection/for-the-budding-cannabis-enthusiast-291903"},{"collectionId":291934,"title":"FortheExam-SeasonCrammer","hasSubCategories":false,"url":"/collection/for-the-exam-season-crammer-291934"},{"collectionId":287569,"title":"FortheHopelessRomantic","hasSubCategories":false,"url":"/collection/for-the-hopeless-romantic-287569"},{"collectionId":287567,"title":"FortheUnabashedHippie","hasSubCategories":false,"url":"/collection/for-the-unabashed-hippie-287567"},{"collectionId":292186,"title":"JustDIYIt","hasSubCategories":false,"url":"/collection/just-diy-it-292186"}],"navigationCollectionsLoadedStatus":"success","navigationCategories":{"books":{"0":{"data":[{"categoryId":33512,"title":"Technology","hasSubCategories":true,"url":"/category/books/technology-33512"},{"categoryId":33662,"title":"Academics&TheArts","hasSubCategories":true,"url":"/category/books/academics-the-arts-33662"},{"categoryId":33809,"title":"Home,Auto,&Hobbies","hasSubCategories":true,"url":"/category/books/home-auto-hobbies-33809"},{"categoryId":34038,"title":"Body,Mind,&Spirit","hasSubCategories":true,"url":"/category/books/body-mind-spirit-34038"},{"categoryId":34224,"title":"Business,Careers,&Money","hasSubCategories":true,"url":"/category/books/business-careers-money-34224"}],"breadcrumbs":[],"categoryTitle":"Level0Category","mainCategoryUrl":"/category/books/level-0-category-0"}},"articles":{"0":{"data":[{"categoryId":33512,"title":"Technology","hasSubCategories":true,"url":"/category/articles/technology-33512"},{"categoryId":33662,"title":"Academics&TheArts","hasSubCategories":true,"url":"/category/articles/academics-the-arts-33662"},{"categoryId":33809,"title":"Home,Auto,&Hobbies","hasSubCategories":true,"url":"/category/articles/home-auto-hobbies-33809"},{"categoryId":34038,"title":"Body,Mind,&Spirit","hasSubCategories":true,"url":"/category/articles/body-mind-spirit-34038"},{"categoryId":34224,"title":"Business,Careers,&Money","hasSubCategories":true,"url":"/category/articles/business-careers-money-34224"}],"breadcrumbs":[],"categoryTitle":"Level0Category","mainCategoryUrl":"/category/articles/level-0-category-0"}}},"navigationCategoriesLoadedStatus":"success"},"searchState":{"searchList":[],"searchStatus":"initial","relatedArticlesList":[],"relatedArticlesStatus":"initial"},"routeState":{"name":"Article3","path":"/article/technology/electronics/general-electronics/electronics-logic-gates-universal-nand-gates-179489/","hash":"","query":{},"params":{"category1":"technology","category2":"electronics","category3":"general-electronics","article":"electronics-logic-gates-universal-nand-gates-179489"},"fullPath":"/article/technology/electronics/general-electronics/electronics-logic-gates-universal-nand-gates-179489/","meta":{"routeType":"article","breadcrumbInfo":{"suffix":"Articles","baseRoute":"/category/articles"},"prerenderWithAsyncData":true},"from":{"name":null,"path":"/","hash":"","query":{},"params":{},"fullPath":"/","meta":{}}},"dropsState":{"submitEmailResponse":false,"status":"initial"},"sfmcState":{"newsletterSignupStatus":"initial"}}HomeTechnologyArticlesElectronicsArticlesGeneralElectronicsArticlesElectronicsLogicGates:UniversalNANDGatesBy:DougLoweandUpdated:03-26-2016ElectronicsAll-in-OneForDummiesExploreBookBuyOnAmazonSignupfortheDummiesBetaProgramtotryDummies'newestwaytolearn.Bycheckingthisbox,youagreetotheTermsofUseandPrivacyPolicy&toreceiveelectroniccommunicationsfromDummies.com,whichmayincludemarketingpromotions,newsandupdates.SignUpThefactthattheNAND(not-and)gateisauniversalgateinelectronicsisincrediblyusefulbecauseitenablesyoutobuildanylogiccircuit,simpleorcomplex,byusingjustNANDgates.
Whenyoubegintobuildyourowndigitalcircuits,youcanstockuponintegratedcircuitsthatcontainjustNANDgatesandbeassuredthatyoucanbuildeventhemostcomplexcircuitswithyourstockofNANDgates.
NOT:YoucancreateaNOTgatefromaNANDgatesimplybytyingthetwoinputsoftheNANDgatetogether.
BecausethetwoinputsoftheNANDgatearetiedtogether,onlytwoinputcombinationsarepossible:bothHIGHorbothLOW.IfbothinputsareHIGH,theNANDgatewilloutputaLOW.IfbothinputsareLOW,theNANDgatewilloutputHIGH.Thus,thecircuitbehavesexactlyasaNOTgatewould.
AND:YoucancreateanANDgatebyusingtwoNANDgates.ThefirstNANDgatedoeswhatNANDgatesdo:returnsLOWifbothinputsareHIGHandreturnsHIGHifbothinputsareanythingelse.ThenthesecondNANDgateisconfiguredasaNOTgatetoinverttheoutputfromthefirstNANDgate.
OneofthebasicrulesofNOTgatesisthatifyouinvertasignaltwice,youendupwiththesamesignal.IftheoriginalinputisHIGH,andyouinvertit,thesignalbecomesLOW.Inverttheinputagain,anditreturnstoHIGH.Withthisruleinmind,youshouldbeabletoseehowthetwoNANDgatesworktogethertocreateanANDgate.
OR:YouneedthreeNANDgatestocreateanORgate.First,youuseapairofNANDgatesconfiguredasNOTgatestoinvertthetwoinputs.ThenthethirdNANDgateproducesaLOWoutputifbothoftheoriginalinputsareLOW.IfoneoftheoriginalinputsisHIGH,orifbothoftheoriginalinputsareHIGH,theoutputofthethirdgateisHIGH.
NOR:IttakesfourNANDgatestocreateaNORgate.ThiscircuitisthesameastheORgatecircuit,withtheadditionofanotherNOTgatetoinverttheoutputfromthethirdNANDgate.InvertingtheoutputchangestheoverallfunctionofthecircuitfromORtoNOR.
AboutThisArticleThisarticlecanbefoundinthecategory:GeneralElectronics,HowtoAssembleaColorOrganCircuitWhatYouNeedtoBuildaColorOrganCircuitHowaColorOrganWorksWhatisaColorOrganCircuit?HowtoUseaColorOrganCircuitViewAllArticlesFromCategory