NAND and NOR Gate as Universal Gate - Digital Electronics

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The above diagram is of an AND gate made from NAND gate. So we can see that all the three basic gates can be made by only using NAND gates, that's why this gate ... DigitalElectronicsSearchthissite OLevelDigitalElectronicsBooleanAlgebraIntroductionKMaporKarnaughMapLogicalANDGateLogicalANDOperationLogicalNANDGateLogicalNORGateLogicalNOTGateLogicalORGateLogicalOROperationNANDandNORGateasUniversalGateSimplifyingBooleanExpressionUsingKMapSwitchingBooleanAlgebraTransistorTransistorLogic(TTL)TruthTableForDigitalLogicBasicDigitalCircuitsBCDToSevenSegmentDisplayPart1HalfAdderandFullAdderPart2BinaryDecoderPart3SevenSegmentDisplayPart5DigitalEncoderIntroductionTo555TimerPowerPointSlidesSitemap OLevelDigitalElectronics‎>‎ NANDandNORGateasUniversalGate Wehavediscussedaboutdifferenttypesoflogicgatesinpreviousarticles.Nowcomingtothetopicofthisarticlewearegoingtodiscussaboutthe UniversalGate.AND,NOTand ORgates arethebasicgates;wecancreateanylogicgateoranyBooleanexpressionbycombiningthem.NowNORgateand NANDgates havetheparticularpropertythatanyoneofthemcancreateanylogicalBooleanexpressionifdesignedinaproperway.Nowwewilllookattheoperationofeachgateseparatelyas universalgates.NANDgateasUniversalGateThebelowdiagramisofatwoinputNANDgate.Thefirstpartisan ANDgate andsecondpartisadotafteritrepresentsa NOTgate.SoitisclearthatduringtheoperationofNANDgate,theinputsarefirstgoingthroughANDgateandafterthattheoutputisreversedandwegetthefinaloutput.Nowwewilllookatthe truthtable ofNANDgate.WewillconsiderthetruthtableoftheaboveNANDgatei.e.atwo-inputgate.ThetwoinputsareAandB.Nowwewillseehowthisgatecanbeusedtomakeothergates.ThisisthecircuitdiagramofaNANDgateusedtomakeworklikeaNOTgate,theoriginallogicgatediagramofNOTgateisgivenbeside.Theabovediagramisofan ORgate madefromcombinationsofNANDgates,arrangedinapropermanner.ThetruthtableofanORgateisalsogivenbesidethediagram.NowwewillseethedesignofanANDgatefromNANDgates.TheabovediagramisofanANDgatemadefromNANDgate.SowecanseethatallthethreebasicgatescanbemadebyonlyusingNANDgates,that’swhythisgateiscalled UniversalGate anditisappropriate.NORgateasuniversalgateWehaveseenhowNANDgatecanbeusedtomakeallthethreebasicgatesbyusingthatalone.NowwewilldiscussthesameincaseofNORgate.TheabovediagramisofanORgatemadebyonlyusingNORgates.TheoutputofthisgateisexactlysimilartothatofasingleORgate.AswecanseethecircuitarrangementofORgateusingNORgatesissimilartothatofANDgateusingNANDgates.TheabovediagramasthenamesuggestsisofANDgateusingonlyNORgate,againwecanseethatthecircuitdiagramofANDgateusingonlyNORgateisexactlysimilartothatofORgateusingonlyNANDgates.NowwewillfinallyseehowaNOTgatecanbemadebyusingonlyNORgates.TheabovediagramisofaNOTgatemadebyusingaNORgate.ThecircuitdiagramissimilartothatofNOTgatemadebyusingonlyNANDgate.So,fromtheabovediscussionitisclearthatallthethreebasicgates(AND,OR,NOT)canbemadebyonlyusingNORgate.Andthus,itcanbeaptlytermedas UniversalGate. Comments Signin|RecentSiteActivity|ReportAbuse|PrintPage|PoweredByGoogleSites



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