Ex-NOR Gate: Truth Table, Symbol, 3 Input Table& Circuit ...

The Ex-NOR gate is formed by linking the Exclusive-OR gate (XOR gate) and the NOT gate. It is abbreviated as Exclusive-NOR or Ex-NOR or XNOR ... 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|Updated:Aug9,20210:07IST 0  Save DownloadPostasPDF TheEx-NORgateisformedbylinkingtheExclusive-ORgate(XORgate)andtheNOTgate.ItisabbreviatedasExclusive-NORorEx-NORorXNORstGate.Exclusive-NORgateisahybridgate.Sometimes,theXNORgateisalsocalledtheEquivalencegateorcoincidencelogic.ThisarticleontheEx-NORgatebringstoyouacompleteviewoftheEx-NORgatethroughsymbols,truthtable,booleanexpression,realizationusingNANDandNORgatewithdetailedimages,properties,keypointsandmore;sogothroughthecompletearticleforabetterperceptionofthetopic. OnanalysingthetruthtableoftheExclusive-NORgate,onecanrecognisethattheoutputoftheEX-NORgateislogic1whenboththeinputsare1orlogichighandifboththeinputsare0orlogiclow.Ifeitheroneoftheinputsisatlogichightheoutputwillbelogiclow.Inotherwords,boththeinputsshouldbeidenticalfortheoutputtobelogic1.ChecktheComponentsofComputerhere.Ex-NORGateSymbolThelogicsymbolofanEx-NORgateisanEx-ORgatewiththeinversionbubbleorthecircleinthefiguretodescribetheNOTfunction.  Therefore,theExclusive-NORgateisalsocalledthecomplementaryformoftheExclusive-ORorEx-ORgate.TheEx-NORgatebooleanexpressionisgivenby:\(\begin{array}{l}Y=AB+\overline{A}\\overline{B}=A\odotB\\\)Also\(\represented\as\\overline{A\oplusB}\=A\odotB\end{array}\)Therearevariousstandardsfordetermininganelectroniccomponent.Usually,wefollowIEC(InternationalElectro-technicalCommission)standardsandIEEE(InstituteofElectricalandElectronicsEngineers). LearnaboutvarioustypesofComputerStorageDeviceshere.Ex-NORGateTruthTableTheoutputofanExclusive-NORgateonlygoestologichighwhenitstwoinputterminalssayAandBareatthesamelogiclevelwhichcanbeeitheratalogiconeoralogiczero.Inotherwords,onecanunderstandthiswaythattheoutputofanEx-NORgateforanevennumber1’sonislogichighattheoutput,otherwiseisatlogiclow.Thatisthistypeofgategivesahighoutputwhenitsinputsarelogicallyequalorequivalenttooneanother,whichiswhyanExclusive-NORgateisalsocalledan“EquivalenceGate”.ReadmoreaboutANDGate,here.3InputEx-NORGateTruthTableUnlikethetwo-inputXNORgate,thethree-inputXNORgatehasthreeinputs.Thereareatotalof8possiblecombinationsofinputs.PracticallyathreeinputEx-NORgatedoesnotexist.ThesymbolicrepresentationandBooleanexpressionofthelogicalEx-NORgateareasfollows: \(\begin{array}{l}Y=A\odotB\odotC\end{array}\)Y=[/latex]\overline{ABC}+AB\overline{C}+A\overline{B}C+\overline{A}BC[/latex]ForExclusiveNORgates,wecanhavethelogichighinputwhenevennumbersofinputsareatahighlevel.Thetruthtableforathree-inputEx-NORgateareasshown:CheckthevarioustypesofInputandOutputDeviceshere.Exclusive-NORGateEquivalentCircuit\(\begin{array}{l}Y=AB+\overline{A}\overline{B}=A\odotB\end{array}\)EX-NORGateusingNANDGate LearnmoreaboutNORGate,here.EX-NORGateusingNORGate PropertiesofEx-NORGate\(\begin{array}{l}A\odotA=1\\\)\(A\odot0=\overline{A}\\\)\(A\odot\overline{A}=0\\\)\(A\odot1=A\\\)\(\overline{A}\oplusB=A\odotB\\\)\(A\oplus\overline{B}=A\odotB\\\)\(\overline{\overline{A\oplusB}}=A\oplusB\end{array}\)\(\begin{array}{l}Y=1\odot0\odot1\odot0\odot1\odot0\odot1……\\\)For\(\even\number\of\inputs\\detects\even\number\of\one^{\prime}s\\\)For\(\odd\number\of\inputs\\detects\odd\number\of\one^{\prime}s\end{array}\)YoumightalsobeinterestedinlearningmoreaboutORGate.KeyPointsEx-NORgateisalsoknownastheevennumberofone’sdetectorfortheevennumberofinputs.Ex-NORgateisalsoknownastheoddnumberofone’sdetectorfortheoddnumberofinputs.Ex-NORgateisalsoknownasanequalitydetector.TheEx-NORgatefollowsbothassociativeandcommutativeproperties.Foratwo-inputEx-ORgateifoneofitsinputsiscomplementeditbecomesanEx-NORgateoutputandviceversa.ApplicationofExclusive-NORgateSomeoftheapplicationofEx-NORgateisin:EncryptionandarithmeticcircuitsError-detectingcircuitstodetectoddparityandevenparityindigitaldatatransmission.Ex-NORgatesarepractisedessentiallyinelectroniccircuitsthatperformarithmeticoperationsanddatacheckingsuchasAdders,SubtractorsorDigitalComparatorcircuitsetc.CheckmoretopicsofDigitalElectronicshere.TheabovearticleonEx-NORGATEisintendedtoguidestudentswithrelevantinformation.Formore,downloadandinstalltheTestbookApporvisitthetestbookwebsiteformoreupdatesonsimilartopicsfromDigitalElectronicsandnumeroussuchsubjects,andcanevencheckthetestseriesavailabletotestyourknowledgeregardingvariousexams. Ex-NORGATEFAQsQ.1 WhatisthedifferencebetweenEx-NORandEx-ORgates?Ans.1IntheXORgateoperation,theoutputishighonlywhenoneoftheinputsisathighlogic.Theoutputislogicalzerowhenbothinputsarethesame,whetheritbeazerooraone.ButintheXNORgate,theinverseistruei.etheoutputislogichighwhenboththeinputsareidentical(eitherzeroorone).Q.2 WhataretheothernamesgiventotheEx-NORgate?Ans.2Ex-NORgateisalsoknownasEquivalencegate,Coincidentlogicorequalitydetector.Q.3 HowmanyNORgatesareusedtodesignanEx-NORgate?Ans.3ThenumberofNORgatesusedtodesignanEx-NORgateis4.Q.4 WhataresomeoftheapplicationsofEx-NORgate?Ans.4SomeoftheapplicationsoftheEx-NORgateareinEncryptionandarithmeticcircuits,Error-detectingcircuits,andmore.Q.5 WhatarethepropertiesfollowedbytheEx-NORgate?Ans.5Ex-NORfollowsbothassociativeandcommutativeproperties.  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