XOR gate circuit diagram using only NAND or NOR gate

One can construct an XOR gate by using minimum four NAND gates. However, It is also possible to design an XOR gate using more than four NAND ... Skiptocontent MenuXORgateorExclusiveORgateisawidelyusedlogicalgateindigitalelectronics.ItisoneofthelogicgatesinComputerwhichisavailableinICform.WehavediscussedbasiclogicgateslikeORgate,ANDgateandNOTgateearlierinotherarticles.XORgatecanbeconstructedbyusingonlybasiclogicalgates,NANDgatesandNORgatesseparately.Inthisarticle,wearegoingtodiscusstheXORlogicgate,itsBooleanexpressionandTruthtable.ThenIwillexplaintheXORgatecircuitdiagramusingonlyNANDgateorNORgate.Contentsinthisarticle:WhatisXORgate?BooleanexpressionofXORgateCircuitdiagramofXORgateTruthTableofXORgateXORgateusingNANDgateXORgateusingNORgateApplicationofXORgateWhatisXORgate?XORgateisalsoknownastheExclusiveORgateorEx-ORgate.Itgivestheoutput1(High)ifoddnumberofinputsarehigh.ThiscanbeunderstandintheTruthTable.Itcanhaveinfinitenumberofinputsandonlyoneoutput.Inmostofthecasestwo-inputorthree-inputXORgatesareused.XORgateBooleanexpressionWeconsideratwo-inputXORgatewithinputsAandB.IfYbetheoutputofthegatethenBooleanexpressionrelatingtheinputsandtheoutputis,Y=A\overline{B}+\overline{A}Bor,Y=A\oplusBThisistheXORgateformula.ForthethreeinputXORlogicgate,theXORgateBooleanexpressionisY=A\oplusB\oplusC,whereA,BandCaretheinputs.CircuitdiagramofXORlogicgateusingbasiclogicgatesOnecandrawthecircuitdiagramforaXORgateinmanywaysbyusingthedifferentcombinationsofNAND,NOR,NOT,AND,ORgates.Also,XORlogiccircuitcanbedesignedbyusingonlyNANDgatesoronlyNORgateswhicharediscussedlater.HerewehavedesignedXORlogiccircuitbyusingbasiclogicgatesi.e.byusingAND,ORandNOTgates.Figure-1showstheXORgateschematicdiagramandfigure-2showsthesymbolofXORgate.Figure-1:CircuitdiagramofXORgateusingbasiclogicgatesFigure-2:XORgatecircuitsymbolTruthTableofXORgateTable-1andTable-2aretheTruthtablesforXORgatewithtwoinputsandthreeinputsrespectively.Input(A)Input(B)Output,\smallY=A\overline{B}+\overline{A}B000011101110Table-1:TruthTableforTwoInputXORgateInput(A)Input(B)Input(C)Output,\smallY=A\oplusB\oplusC00000011010101101001101011001111Table-2:TruthTableforThreeinputXORgateXORgateusingNANDgateOnecanconstructanXORgatebyusingminimumfourNANDgates.However,ItisalsopossibletodesignanXORgateusingmorethanfourNANDgates.Here,wewilldrawthecircuitdiagramoftwoinputXORgatebyusingfourNANDgates.CircuitdiagramofXORgateusingonlyNANDgatesXORgateusingNORgateTodesignthecircuitdiagramofanXORgateusingonlyNORgates,minimumfiveNORgatesarerequired.Also,onecandesignthesamewithmorethanfiveNORgates.HereistheschematicdiagramofXORgateusingfiveNORgates.CircuitdiagramofXORgateusingonlyNORgatesApplicationofXORgateXORgatehaswideusesinarithmeticsectionofthecomputer.IntheTruthTableoftwoinputXORgateonecanseethatthecircuitgivestheoutputashigh(1)wheninputsareunequal(whenoneis0andotheris1).Thus,atwoinputXORgateactsasaninequalitydetector.ThisisallfromthisarticleonXORgatediagramandtruthtable.Ifyouhaveanydoubtonthistopicyoucanaskmeinthecommentsection.Announcement:Ifyouarelookingforsomeonetohelpwithyourphysicsassignments,pleasedelegateyourDomyphysicshomeworkformetoexpertsfrom“MyAssignmentLab“.Thankyou!RelatedPosts:XNORgateusingNANDgate,NORgateBasiclogicgatesusingNANDgatesonlyBasiclogicgateswithTruthTableanddiagram–OR,AND,NOTgateNANDgateNORgate8thoughtson“XORgatecircuitdiagramusingonlyNANDorNORgate”Pingback:AlltheBasicLogicGateswithTruthTable-Electronics&PhysicsPingback:10examplesofoutputdeviceforcomputerwithuse-Electronics&PhysicsPingback:TypesofMemoryunitinComputerArchitecture-edumir-PhysicsPingback:NANDgatewith3inputs-truthtableandcircuitdiagram-edumir-PhysicsPingback:NORgatetruthtablewith2and3inputs-edumir-PhysicsPingback:RulesofBooleanalgebraforsimplification-edumir-PhysicsPingback:XNORgatecircuitdiagramusingNAND&NORgate-edumir-PhysicsPingback:ORANDNOTgateusingNANDgates|circuitdiagram|Edumir-PhysicsLeaveaCommentCancelreplyCommentName Email WebsiteSavemyname,email,andwebsiteinthisbrowserforthenexttimeIcomment.reportthisad ΔreportthisadSearchfor: CategoriesAtomandNucleus(3)CapacitorrelatedPosts(5)CenterofMass(3)Computer(4)CurrentElectricity(18)DigitalElectronics(9)Dioderelatedposts(2)Electricchargerelated(5)ElectricFieldrelated(3)ElectromagneticInduction(2)Electromagneticwaves(1)Electronics(29)Electrostatics(18)Gravitation(1)Interestingfacts(2)LawsofMotion(9)LogicGates(6)Magnetism(8)MCQClass12(3)ModernPhysics(7)MomentofInertia(1)Newton'slawsofMotion(4)OneDimensionalMotion(1)OpticsandLights(4)Physics(83)Physicsexperiments(1)RotationalMotion(2)Semiconductor(7)StatisticalMechanics(1)Technology(1)Thermodynamics(2)Transistorrelatedposts(5)Units&Measurements(6)Work,energyandpower(2)reportthisadPagesAboutusBScElectronicsClass11PhysicsClass12PhysicsContactUsHomePagePrivacyPolicyRecentCommentsDefinitionandFormulaforElectriccharge|Unit|Edumir-PhysicsonHowcantwoMetallicspheresbechargedbyinduction?HowcantwoMetallicspheresbechargedbyinduction?|Edumir-PhysicsonDefinitionandFormulaforElectriccharge|UnitDefinitionandFormulaforElectriccharge|Unit|Edumir-PhysicsonLinearchargedensity–formula,calculation|LinechargeRecentPostsHowcantwoMetallicspheresbechargedbyinduction? 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