AND Gate | Truth Table and Circuit Diagram

The AND gate truth table used to express the Boolean expression of a logic gate function is commonly known as the truth table. The AND gate ... HomePracticeTestSeriesClassroomHomeGATE&PSUCSGATECSDigitalLogicArticleANDGate|TruthTableandCircuitDiagramByPriyanshuVaish|Updated:June3rd,20220upvote0commentssharemoreAlogicgateisaphysicaldevicethatperformsalogicaloperationinoneormorelogicalfain-inorinputsandproducesalogicaloutput.ThisarticlehelpsustounderstandthelogicalANDgate.Theoutputofa"ANDGate"onlyreturns"HIGH"when all theinputsare"HIGH".TheANDgateisoneofthebasicorfundamentallogicgatesofthedigitalsystem.TheAndgateifwewanttousethentheIC7408isusedinwhichtherearefourindependentgates,eachofwhichperformsthelogicalANDoperation.TableofContent1.WhatisANDGate?2.ANDGateTruthTable3.PropertiesofANDGate4.CircuitDiagramofANDGateReadFullArticleWhatisANDGate?TheANDgatewillhavetwoormorefan-inorinputsbutonlyoneoutput.ThefunctionofalogicalANDgateeffectivelyfindstheminimumbetweentwobinarydigits.Thelogicsymboltwo-inputANDgateis:Theoutputofthetwoormorefan-inorinputissaidtobe'true'or'1'whenallthefa-inorinputsthatareconnectedis'true'or'1'.Otherwise,ifanyfan-inorinputis'0',theoutputbecomeszero.ANDGateTruthTableTheANDgatetruthtableisforthetwofan-inorinputsthatareAandB.IthasonlyoneoutputasY.Theoutputislogic'0'ifanyinputsAandBareLOW(logic'0').However,theoutputis1onlywhenalltheinputsare1.TheANDgatetruthtableisasfollows: ThelogicalexpressionfromtheaboveANDgatetruthtableisY=AB.PropertiesofANDGateTheANDgatefollowscommutativeproperty.Thatisifwehavetwoinputs,AandB,thenAB=BA.LetussupposetheinputAis'1'andBis'0',sotheoutputYis'0'asperthegivenANDgatetruthtable.Thesameoutputwegetinthecommutativepropertyas:AB=1.0=0BA=0.1=0TheANDgatealsofollowsassociativeproperty.Thatisifwehavethreeinputs,A,BandC,then(AB)C=A(BC).LetussupposetheinputAis'1',Bis'0',andCis'0',sotheoutputYis'0'aspertheANDgatetruthtable.Thesameoutputwegetinthecommutativepropertyas:(AB)C=(1.0).0=0.0=0A(BC)=1.(0.0)=1.0=0ForANDoperations,wehaveenabledanddisabledinputsthatareasfollows:Ifcontrol=0;Nochangeintheoutput.Hencelogic'0'isconsideredasdisabledinputforANDgate.Ifcontrol=1;Duetochangeintheinput-outputalsochanges;thereforelogic'1'isenableinputforANDgate.CircuitDiagramofANDGateBasedontheaboveANDgatetruthtable,theswitchingcircuitdiagramofANDgateisshownbelow.Wehavetwoinputsorswitches,AandB,connectedserially,andoneblubisalsoconnectedseriallywithtwoinputsthecircuitdiagramofANDgateisasfollows:ThebulbwillglowonlywhenbothswitchesAandBareclosedoratlogic'1'.IfanyoftheswitchesAandBareopenorlogic'0',thenthebulbwillnotglow.CommentswriteacommentFAQsonANDGateWhatistheANDgatetruthtable?TheANDgatetruthtableusedtoexpresstheBooleanexpressionofalogicgatefunction iscommonlyknownasthetruthtable.TheANDgatetruthtableshowsthepossibleinputcombinationtothegateorcircuitwiththeoutputdependinguponthecombinationofthesefain-inorinput(s).WhatisthemaindifferencebetweentheANDgateandORgate?ThemaindifferencebetweentheANDgateandORgateisthat theANDgateperformsthemultiplicationofthelogicalinput.Incontrast,theORlogicgateperformstheadditionofthelogicalinputs.Whatis3inputANDgate?Asthenamesuggeststhatthe3inputsmeantheANDgatehasthreeinputsorfain-inandhaveonlyoneoutput.Ifallthethreeinputsarehigh,thentheoutputishigh.Otherwise,ifanyofthethreeinputsislow,theoutputislow.WhyistheANDgatenamedAND?TheANDgateisnamedasANDbecausesupposeifthetruemeans'1'andfalsemeans'0',thenthelogicgateactsasthe"and"operator.ThelogicalexpressionoftheANDgateisY=AB,whereAandBareinputtotheANDgate.Whatarethebasiclogicgates?Thelogicgatesarethefundamentalbuildingblocksofanydigitalsystem.Thelogicgatesareclassifiedintothreedifferentcategoriesthatareasfollows:BasicgatesUniversalgatesSpecialgatesThebasiclogicgatesareNOT,OR,ANDgates.RelatedPostsCProgrammingMCQQuestionandAnswerYesterday,4pmWhatistheMainReasontheOSIModelwasCreated?Jul8DifferenceBetweenLinuxandUnixJul8GATE&PSUCSComputerScienceGATEGATECSENIELITOtherExamsQuickLinksMockTestComputerScienceExamsComputerScienceEngineeringTestSeriesComputerScienceEngineeringOnlineCoachingComputerScienceEngineeringQuizComputerScienceEngineeringPracticeSetGATEExamGATEResultGATERegistrationGATELoginGATEAdmitCardGATECutOffGATESyllabusGATEExamPatternGATENotesGATEQuestionPapersGATETestSeriesGATETestSeriesGATEOnlineCoachingGATECSEGATECSECutOffGATECSESyllabusGATECSEPapersPDFGATECSEStudyPlanGATECSEPracticeSetGATECSENotesNIELITScientistBNIELITScientistBSyllabusNIELITScientistBSalaryNIELITScientistBStudyPlanNIELITScientistBQuestionPapersPDFNIELITScientistBPracticeSetNIELITScientistBESEIESCERRBJEISROCSBELCSAllCSExamsAllCSEExamsJobsinPSUthroughGATEPSUwithoutGATEScoreGATECSEMockTestNIELITScientistBMockTestBARCCSMockTestISROCSEMockTesttags:GATE&PSUCSDigitalLogicGATECSOverviewGATECSExamAnalysisGATECSAnswerKeyGATECSCutOffGATECSQuestionPapersFeaturedArticlesGATESyllabus-GATESyllabus2023PDF328Upvotes|0CommentsAFCAT22021ExpectedExamDate&EligibilityCriteria,Agelimit,educationqualification,266Upvotes|113CommentsGATEPreviousYearQuestionPaper270Upvotes|24CommentsComputerScienceOnlineCourse2023:JoinVideoLectures,Classes0Upvotes|0CommentsFollowusforlatestupdatesOurAppsBYJU'SExamPrep:TheExamPreparation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