What is NAND Gate Truth Table?

Know the NAND Gate Truth Table. Read about the NAND Gate Truth Table, properties, circuit diagram, and realization of the logic gate using ... HomeGATE&PSUCSGATECSArticleWhatisNANDGateTruthTable?ByMonaKumari|Updated:May17th,20220upvote0commentssharemoreNANDGateTruthTable:TheNANDgateandNORgatearecalledUniversalgatesbecausetheycanperformallthethreebasicfunctionsofAND,OR,andNOTgates.Atwo-inputNANDgateis adigitalcombinationlogiccircuitthatperformsthelogicalinverseofanANDgate.WhileanANDgateoutputsalogical“1”onlyifbothinputsarelogical“1,”aNANDgateoutputsalogical“0”forthissamecombinationofinputs.Inthisarticle,wehaveprovidedtheNANDgatetruthtable.TableofContent1.WhatisaNANDGate?2.RealizationoftheLogicGateUsingNANDGateReadFullArticleWhatisaNANDGate?TheNANDgateisaANDgatefollowedbyaNOTgate.Thus,wecansayitisaANDNOToperation.Itmayhavetwoormoreinputsbutonlyoneoutput.ThelogicalsymbolsofaNANDgateandthetruthtableareshownbelow.Thus,thelogicalexpressionfortheoutputisItisclearfromthetruthtableofthetwo-inputNANDgatethattheoutputis1wheneitherAorBorwhenboththeinputsareatlogic‘0’.WecansaythatifĀ=1=Bis,bothAandBare1,theoutputis1.Therefore,theNANDgatecanperformtheORfunctionbyinvertingtheinputs.TheoutputistheexactinverseoftheANDgateforallpossibleinputcombinationsintheNANDgate.TheORgatewithinvertedinputsiscalledbubbledORgateornegativeORgate.TheNANDgateisalsocalledanactivelowORgate. TheswitchingcircuitdiagramforaNANDgateisshownbelow.  ThebulbwillglowwhenanyoftheswitchesAorBwillopen(logic0).NANDgatefollowsthecommutativelawas(AB)’=(BA).’NANDgatewillnotfollowtheassociativelawasEnableanddisableinputs:     ForaNANDGate     Forcontrol=0;AControlY001101Thus,logic‘0’isthedisabledinputfortheNANDgate.Forcontrol=1;AControlY011110Thus,logic‘1’istheenableinputfortheNANDgate.RealizationoftheLogicGateUsingNANDGateInBooleanAlgebra,theNANDgateiscalleda universalgate becauseanydigitalcircuitcanbeimplementedbyusinganyoneofthesetwoi.e.anylogicgatecanbecreatedusingNANDgate.NOTGateRealizationFortheNOTgaterealization,werequire1NANDgateasshowninthecircuitdiagram: ANDGateRealizationFortheANDgaterealization,werequire2NANDgates,asshowninthecircuitdiagram: ORGateRealization FortheORgaterealization,werequire3NANDgatesiftheinputsarenotavailableincomplementform,asshowninthecircuitdiagram: EX-ORGateRealizationFortheEX-ORgaterealization,werequire4NANDgates,asshowninthecircuitdiagram: EX-NORGateRealizationFortheEX-NORgaterealization,werequire5NANDgates,asshowninthecircuitdiagram: Shortcutsfortherealizationoflogicgatesareasfollows:GATESNumberofNANDGateNOT1AND2OR3EX-OR4EX-NOR5 CommentswriteacommentFAQsonNANDGateWhatisaNANDgate?NANDgateistheuniversalgatewhichmeansfromtheNANDgate,wecanrealizealllogicgates.TheNANDgateisaANDgatefollowedbyaNOTgate.Thus,wecansayitisaANDNOToperation.Itmayhavetwoormoreinputsbutonlyoneoutput.HowmanyNANDgatesarerequiredtorealizetheEX-NORgate?FortherealizationoftheEX-NORgate,thenumberofNANDgatesrequiredis5bothwhentheinputsareavailableincomplementandwhentheinputsareavailableinuncomplemented.WerealizetheEX-NORintwoformsbothrequire5NANDgate.IsNANDgatecommutativeorassociative?TheNANDandNORfunctionsarethecomplementsofANDandORfunctions,respectively. Theyarecommutativebutnotassociative.Sothesefunctionscannotbeextendedtomultipleinputvariablesverysimply.HowmanyNANDgatesarerequiredtorealizetheORgateiftheinputsareavailableincomplementsformsalso?FortherealizationoftheORgate,iftheinputsareavailableincomplementsforms,werequire1NANDgate,andiftheinputsareavailableinuncomplementsformats,weneed3NANDgates.HowmanyNANDgatesarerequiredtorealizetheEX-ORgate?FortherealizationoftheEX-ORgate,werequired4NANDgates.F=xXORy=x’y+xy’=x’y+xy’+xx’+yy’=(x+y)(x’+y’)NowweneedtoimplementthiscircuitusingNANDgatesF=(x+y)(xy)’=x.(xy)’+y.(xy)’TakecomplimentF’=(x.(xy)’+y.(xy)’)’=(x.(xy)’)’.(y.(xy)’)TakecomplimentagainF=((x.(xy)’)’.(y.(xy)’))’RelatedPostsCProgrammingMCQQuestionandAnswerYesterday,4pmWhatistheMainReasontheOSIModelwasCreated?Jul8DifferenceBetweenLinuxandUnixJul8GATE&PSUCSComputerScienceGATEGATECSENIELITOtherExamsQuickLinksMockTestComputerScienceExamsComputerScienceEngineeringTestSeriesComputerScienceEngineeringOnlineCoachingComputerScienceEngineeringQuizComputerScienceEngineeringPracticeSetGATEExamGATEResultGATERegistrationGATELoginGATEAdmitCardGATECutOffGATESyllabusGATEExamPatternGATENotesGATEQuestionPapersGATETestSeriesGATETestSeriesGATEOnlineCoachingGATECSEGATECSECutOffGATECSESyllabusGATECSEPapersPDFGATECSEStudyPlanGATECSEPracticeSetGATECSENotesNIELITScientistBNIELITScientistBSyllabusNIELITScientistBSalaryNIELITScientistBStudyPlanNIELITScientistBQuestionPapersPDFNIELITScientistBPracticeSetNIELITScientistBESEIESCERRBJEISROCSBELCSAllCSExamsAllCSEExamsJobsinPSUthroughGATEPSUwithoutGATEScoreGATECSEMockTestNIELITScientistBMockTestBARCCSMockTestISROCSEMockTesttags:GATE&PSUCSGeneralGATECSOverviewGATECSExamAnalysisGATECSAnswerKeyGATECSCutOffGATECSQuestionPapersFeaturedArticlesGATESyllabus-GATESyllabus2023PDF328upvotes|0commentsAFCAT22021ExpectedExamDate&EligibilityCriteria,Agelimit,educationqualification,266upvotes|113commentsGATEPreviousYearQuestionPaper270upvotes|24commentsComputerScienceOnlineCourse2023:JoinVideoLectures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