NAND-gate| Digital Logic Gates - Electronics-Tutorial.net

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The Boolean expression for three input NAND gate and The truth table of the three input NAND gate is also shown in figure. Four input AND gate. Four input AND ... MiniProjects MATLABProjects VLSIProjects ArduinoProjects ProjectIdeas More ✕ electronicsTutorials MiniProjects MATLABProjectss VLSIProjects ArduinoProjects electronicsProjects ProjectIdeas Quiz Home>digitallogicgates>nandgate Prev Next NANDGate NANDstandsforNOTAND.AnANDgatefollowedbyaNOTcircuitmakesita NANDgateFigureshowsthecircuitsymbolofatwo-inputNANDgate.The truthtableofaNANDgateisobtainedfromthetruthtableofanANDgate bycomplementingtheoutputentries.TheoutputofaNANDgateisalogic0 whenallitsinputsarealogic1.Forallotherinputcombinations,the outputisalogic1.NANDgateoperationislogicallyexpressedasY= CMOSNANDGate Thecircuitbelowhastwoinputsandoneoutput.Wheneveratleastoneof theinputsislow,thecorrespondingPMOStransistorwillbeconducting whiletheNMOStransistorwillbeclosed.Consequently,theoutputvoltage willbehigh.Conversely,ifbothinputsarehigh,thenbothPMOS transistorsatthetopwillbeopencircuitsandbothNMOStransistorswill beconducting.Hence,theoutputvoltageislow.Thefunctionofthisgate canbesummarizedbythetable.Iflogical1'sareassociatedwithhigh voltagesthenthefunctionofthisgateiscalledNANDfornegatedAND.Again,thereisneveraconductingpathfromthe supplyvoltagetoground. TTLNANDGate CircuitbelowshowstheTTLimplementationofNANDgate.Here,R1andR2 arethepull-upresistors.VCCisthepowersupply.T1isthebipolar junctiontransistoroperatedintotempoleconfiguration.T2isthenormal transistor. ThreeinputNANDgate FigureaboveshowsthethreeinputANDgate.Inthisfigure, 1)WhentheinputsA=0,B=0andC=0thentheoutputY=1 2)WhentheinputsA=0,B=0andC=1thentheoutputY=1 3)WhentheinputsA=0,B=1andC=0thentheoutputY=1 4)WhentheinputsA=0,B=1andC=1thentheoutputY=1 5)WhentheinputsA=1,B=0andC=0thentheoutputY=1 6)WhentheinputsA=1,B=0andC=1thentheoutputY=1 7)WhentheinputsA=1,B=1andC=0thentheoutputY=1 8)WhentheinputsA=1,B=1andC=1thentheoutputY=0 TheBooleanexpressionforthreeinputNANDgateandThetruthtableofthe threeinputNANDgateisalsoshowninfigure. FourinputANDgate FigureaboveshowsthefourinputANDgate.Inthisfigure, 1)WhentheinputsA=0,B=0,C=0andD=0thentheoutputY=1 2)WhentheinputsA=0,B=0,C=0andD=1thentheoutputY=1 3)WhentheinputsA=0,B=0,C=1andD=0thentheoutputY=1 4)WhentheinputsA=0,B=0,C=1andD=1thentheoutputY=1 5)WhentheinputsA=0,B=1,C=0andD=0thentheoutputY=1 6)WhentheinputsA=0,B=1,C=0andD=1thentheoutputY=1 7)WhentheinputsA=0,B=1,C=1andD=0thentheoutputY=1 8)WhentheinputsA=0,B=1,C=1andD=1thentheoutputY=1 9)WhentheinputsA=1,B=0,C=0andD=0thentheoutputY=1 10)WhentheinputsA=1,B=0,C=0andD=1thentheoutputY=1 11)WhentheinputsA=1,B=0,C=1andD=0thentheoutputY=1 12)WhentheinputsA=1,B=0,C=1andD=1thentheoutputY=1 13)WhentheinputsA=1,B=1,C=0andD=0thentheoutputY=1 14)WhentheinputsA=1,B=1,C=0andD=1thentheoutputY=1 15)WhentheinputsA=1,B=1,C=1andD=0thentheoutputY=1 16)WhentheinputsA=1,B=1,C=1andD=1thentheoutputY=0 TheBooleanexpressionforfourinputNANDgateandthetruthtableofthe fourinputNANDgateisalsoshowninfigure. FormthisanalysisofANDgatewecanseethat, 1)Foratwo-inputNANDgate,Output=(A.B)' 2)Forathree-inputNANDgate,Output=(A.B.C)' 3)Forafour-inputNANDgate,Output=(A.B.C.D)' NANDgateasaUniversalgate TheNANDisalsoknownasuniversalgate.BecausebyusingonlyNANDgate anykindofBooleanlogicgatecanbeimplemented.ByusingNANDgatewe caneasilyimplementtheANDgate,ORgateandtheNOTgate. ImplementationofNOTgateusingNANDgate. FigurebelowshowstheimplementationoftheNOTgateusingNANDgate.By shortingthetwoinputsoftheNANDgatetogethertheNOTgatecanbe implemented. ImplementationofANDgateusingNANDgate. FigurebelowshowstheimplementationoftheANDgateusingNANDgate. Here,byshortingthetwoinputsoftheNANDgatetogethertheNOTgatecan beimplemented.ThisimplementedNANDwhenwewillconnecttotheoutputof theNANDgatetheANDgatewillbeimplemented. ImplementationofORgateusingNANDgate. FigurebelowshowstheimplementationoftheORgateusingNANDgate.Here, byshortingthetwoinputsoftheNANDgatetogethertheNOTgatecanbe implemented.ThisimplementedNANDwhenwewillconnecttotheinputsof theNANDgatetheORgatewillbeimplemented. TTLNANDgateICs 1)7400Quad2-inputNANDgate 2)7410Triple3-inputNANDgate 3)7420Dual4-inputNANDgate 4)7430Single8-inputNANDgate CMOSNANDGateICs 1)4011Quad2-inputNANDgate 2)4023Triple3-inputNANDgate 3)4012Dual4-inputNANDgate Prev Next UsefulResources MiniProjects MATLABProjectss VLSIProjects ArduinoProjects Quiz x FaceBook 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