NAND Gate: Symbol, Truth Table, Circuit Diagram with ...

NAND Gate Truth Table ... The output of the NAND gate is always at logic high/”1″ and only goes to logic low/”0″ when all the inputs to the NAND ... 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|Updated:Aug8,202123:54IST 0  Save DownloadPostasPDF TheNANDandNORgatecomesunderthecategoryofUniversalGates.ThesetwogatesarecalledUniversalgatesastheycanperformallthethreebasicfunctionsofAND,ORandNOTgate. ANANDGateisalogicgatethatperformsthereverseoperationofanANDlogicgate.ItisablendofANDandNOTgatesandisacommonlyusedlogicgate.TheNANDgatehasanoutputthatisnormallyatlogichighandonlygoestologiclowwhenallofitsinputsareatlogichigh.TheLogicNANDGateisthereverseorcomplementarydesignoftheANDgate.ThroughthisarticleonNANDgates,youwilllearnaboutthesymbol,truthtableoftwoandthreeinputgates,alongwiththebooleanexpression,circuitdiagramandrepresentationofvariousothergatesusingNANDgates.ChecktheComponentsofComputerhere.NANDGateSymbolTheNANDgateisANDgatesucceededbyNOTgate.ThusonecanunderstandtheNANDgateasNOT-ANDgatealso.ANANDgateconstitutesoneormoreinputswithasingleoutput.TheNANDgateisrepresentedbyasymbolwhoseshapematchestheANDgatewithacirclefollowed,oftenidentifiedasaninversioncircle.BelowisthesymbolicrepresentationoftheNANDgate.“NANDgate=BubbledORgate”  NANDGateTruthTableTheoutputoftheNANDgateisalwaysatlogichigh/”1″andonlygoestologiclow/”0″whenalltheinputstotheNANDgateareatlogic1.Inotherwords,wecansaythattheoutputoftheNANDgatealwayscontinuestrueifatleastoneofitsinputsremainsfalseorlogiclow. TheBooleanexpressionforalogicNANDgateisrepresentedbyasingledotorfullstopsymbol,(.)followedbyalineorOverline,(‾‾)overtheexpressiontoimplytheNOTorlogicalnegationoftheNANDgate.BelowistheNANDgatebooleanexpressionfortwoinputs.Y=\(\overline{A.B}=\overline{A}+\overline{B}\)ThelogicorBooleanexpressionortheNANDgateisthelogicalmultiplicationoftheinputsfollowedbythecomplementoftheobtainedoutputorthelogicaladditionofthecomplementedinputs.Belowisthetruthtableforthetwo-inputNANDgate.LearnaboutvarioustypesofComputerStorageDeviceshere.3inputNANDGateUnlikethetwo-inputNANDgate,thethree-inputNANDgatehasthreeinputs.ThesymbolicrepresentationofthethreeinputNANDgateisasfollows.  TheBooleanexpressionofthelogicNANDgateisrepresentedasthebinaryoperationdot(.). WhereA,B,andCaretheinputsandYistheoutput.The\(\boolean\\expression\for\three\input\NAND\gate\is;\Y=\overline{A.B.C}\)LearnmoreaboutEx-ORGate,here.3inputNANDGateTruthTableThe\(\number\of\output\combination\is\2^N\for\N-inputs\in\the\truth\\)tableTheNANDgatecanbecascadedcommonlytoformanynumberofindividualinputs.Thereareatotalof8possiblecombinationsofinputNANDGate.Thetruthtableisasfollows: CheckthevarioustypesofInputandOutputDeviceshere.NANDGateCircuitDiagramAsimpletwo-inputlogicNANDgatecanbeconstructedusingtransistorsconnectedtogetherasshownbelowwiththeinputsconnecteddirectlytothetransistorbases.Eitherofthetransistorsmustbecut-off“OFF”foroutputtobelogichigh.Thismeansthatifboththeinputsareatlogichighmakingboththetransistors“ON”theresultantoutputislow/”0″. Belowisthetruthtableforbetterunderstanding:ABQ1Q2Output00OFFOFF101OFFON110ONOFF111ONON0NANDGateICGenerallyavailableNANDgateIC’sinclude:TTLLogicNANDGates->74LS00Quad2-input,74LS10Triple3-input,74LS20Dual4-inputand74LS30Single8-input.CMOSLogicNANDGates->CD4011Quad2-input,CD4023Triple3-inputandCD4012Dual4-input.ReadmoreaboutANDGate,here.RealizationofBasicGatesusingNANDGateNOTGateusingNANDGate ANDGateusingNANDGate  KnowmoreEx-NORGate,here.ORGateusingNANDGate \(\begin{array}{l}Inputs\A\and\B\then\the\output\obtained\is\A+B\\\)\(\overline{A}.\overline{B}\\rightarrow\overline{\overline{A}.\overline{B}}\\rightarrowA+B\end{array}\)LearnmoreaboutORGate,hereRealizationofUniversalGatesusingNANDGateNORGateusingNANDGate  \(\begin{array}{l}\overline{A}.\overline{B}\\rightarrow\overline{\overline{A}.\overline{B}}\\)\(\rightarrow\overline{A+B}\end{array}\)LearnmoreaboutNOTGate,here.RealizationofSpecialPurposegatesusingNANDGateEX-ORGateusingNANDGate \(\begin{array}{l}Inputs\A\and\B\then\the\output\obtained\is:\\\)\(\overline{A}.B+A.\overline{B}\end{array}\)EX-NORGateusingNANDGate \(\begin{array}{l}Inputs\A\and\B\then\the\output\obtained\is:\\\)\(A.B+\overline{A}.\overline{B}\end{array}\)ShortcutForRealizationofLogicGatesUsingNANDGateYoumightalsobeinterestedinlearningmoreaboutNORGate.NumberofNANDGates OtherGates1NOTGate2ANDGate3OR Gate4EX-ORGate5EX-NORGateKeyPointsNANDgatefollowsCommutativebutdoesnotfollowAssociativelaw.\(\overline{A.\B}=\overline{B.\A}\)Inamultiple-inputNANDgate,theunusedinputscanbeconnectedinthesamewayasinanANDgate.CheckmoretopicsofDigitalElectronicshere.TheabovearticleonNANDGateisintendedtoguidestudentswithrelevantinformation.Formore,downloadandinstalltheTestbookApporvisitthetestbookwebsiteformoreupdatesonsimilartopicsfromDigitalElectronicsandnumeroussuchsubjects,andcanevencheckthetestseriesavailabletotestyourknowledgeregardingvariousexams. NANDGATEFAQsQ.1 WhatisthedifferencebetweenNANDandNORgates?Ans.1ANANDgateissimilartoacomplemented-inputANDgate,whichbasicallyperformsthecomplementofANDgateoutputwhereasaNORgateissimilartoacomplemented-inputORgatewhichperformsthecomplementofORgateoutput.Q.2 WhatisthedifferencebetweenANDandNANDgates?Ans.2ANDandNANDbotharelogicgatesinbasicdigitalcircuits.InBooleanalgebraANDandNANDdothesameoperationbuttheoutputinNANDisoppositeofanANDgate,i.eNANDgateperformsthecomplementofANDgateoutputs.Q.3 WhatisthefunctionoftheNANDgate?Ans.3Indigitalelectronics,aNANDgateisalogicgatethatproducesanoutputthatisfalse/logiclow/zeroonlyifallitsinputsaretrue;basically,theoutputofNANDGateisacomplementtothatofanANDgateQ.4 WhyistheNANDgateauniversalgate?Ans.4TheNANDgateandtheNORgatecanbesupposedtobeuniversalgatessincecombinationsofthesegatescanbeusedtoaccomplishanyofthebasicoperationslikeNOT,ANDandORgates.Q.5 WhatistheminimumnumberofNANDgatesusedtoimplementANDgates?Ans.5TheminimumnumberofNANDgatesusedtoimplementANDgatesis2.   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