Logic Gate Calculator

How to generate logic gates truth table using logic gate calculator OmniCalculatorlogoWe’rehiring!EmbedShareviaLogicGateCalculatorCreatedbyPurnimaSingh,PhDReviewedbyWojciechSas,PhDcandidateandStevenWoodingLastupdated:Nov11,2021Tableofcontents:Whatisalogicgate?Whatarethebasiclogicgates?CombinationofbasiclogicgatesLogicgatestruthtablesHowtogeneratelogicgatestruthtableusinglogicgatecalculatorFAQOmni'slogicgatecalculatorallowsyoutodeterminetheoutputofvariouslogicgates.Youcanalsousethislogicgatecalculatortogeneratethetruthtableforvariouslogicgates. WhetheryouareaDIYpersonoranexpertinelectronics,logicgatesarethemostbasicthingyoushouldbeacquaintedwith. Continuereadingifyouwanttoknowwhatalogicgateis.We'llalsodiscussvarioustypesoflogicgatesandtheoperationstheycanperform. Whatisalogicgate? Alogicgateisadigitalcircuitthatactsasagate(orswitch)fortheflowofinformation(electricsignal).Iteitherallowsorstopssignals,dependinguponwhethercertainlogicalconditionsaresatisfiedornot. Alogicgatecanhaveoneormoreinputs,throughwhichitacceptsdigitalsignals.Theoutputsignaldependsuponwhethertheinputsignalsareon/high(1)oroff/low(0)andthetypeoflogicaloperationperformedbythegate. Logicgatesarethebasicbuildingblockofeverydigitalsystem,includingyourcomputer.Wecanfindtheminalmosteveryelectroniccircuit,forexample,microprocessors,microcontrollers,alarms,streetlights,etc. Whatarethebasiclogicgates? Therearethreebasiclogicgates: ANDgate:TheANDgategivesahigh(1)outputonlywhenallofitsinputsarehigh(1).Figure1showsthelogicsymboloftheANDgatewithAandBasinputs. Fig.1:LogicsymbolofANDgate(Source:wikimedia.org). TheBooleanexpressionfortheANDlogicgateisA⋅B=Output, wherethemultiplicationsign(⋅)referstoANDinBooleanalgebra. ORgate:TheORgategivesahigh(1)outputwheneitherofitsinputsishigh(1).Figure2showsthelogicsymboloftheORgate. Fig.2:LogicsymbolofORgate(Source:wikimedia.org). TheBooleanexpressionfortheORlogicgateisA+B=Output, wheretheadditionsign(+)isreferredtoasORinBooleanalgebra. NOTgate:TheNOTgateinvertstheinput,i.e.,iftheinputishigh(1),theoutputislow(0),andvice-versa.Itisasingleinputandsingleoutputdevice.Figure3showsthelogicsymboloftheNOTgate. Fig.3:LogicsymbolofNOTGate(Source:wikimedia.org). TheBooleanexpressionfortheNOTlogicgateisĀ=Output, wherethebarsign(‾)isNOTinBooleanalgebra. Combinationofbasiclogicgates Wecancombinethebasiclogicgates(AND,OR,andNOT)togetmanycomplexgates.Afewpopularcombinationsare: NANDgate:ANAND(orNOT-AND)gateisacombinationofanANDgateandaNOTgate,i.e.,theoutputislow(0)onlywhenallofitsinputsarehigh(1).Figure4showsthelogicsymboloftheNANDgate. Fig.4:LogicsymbolofNANDGate(Source:wikimedia.org). TheBooleanexpressionfortheNANDlogicgateis NORgate:ANOR(orNOT-OR)gateisacombinationofanORgateandaNOTgate,i.e.,theoutputishigh(1)onlywhenbothofitsinputsarelow(0).Figure5showsthelogicsymboloftheNORgate. Fig.5:LogicsymbolofNORGate(Source:wikimedia.org). TheBooleanexpressionfortheNORlogicgateis XORgate:AXOR(orexclusive-OR)gateresultsfromcombiningOR,AND,andNOTgates.TheoutputofanXORlogicgateishigh(1)wheneitheroftheinputsishigh(1).Figure6showsthelogicsymboloftheXORgate. Fig.6:LogicsymbolofXORGate(Source:wikimedia.org). TheBooleanexpressionfortheXORlogicgateisA⋅B̄+Ā⋅B=Output,or XNORgate:TheXNORgateisacombinationofanXORgateandaNOTgate.TheoutputofanXNORlogicgateishigh(1)whenbothoftheinputsarehigh(1)orwhenbothoftheinputsarelow(0). Fig.7:LogicsymbolofXNORGate(Source:wikimedia.org) Figure7showsthelogicsymboloftheXNORgate.TheBooleanexpressioncorrespondingtotheXNORlogicgateis Ifyouareinterestedinmorecomplexlogicaloperationslikebitshift,werecommendcheckingoutthebitshiftcalculator. Logicgatestruthtables Atruthtableshowsallpossibleinputcombinationsandthecorrespondingoutputcombinationsforalogicgate.Thetruthtableforvariouslogicgatesisshownbelow. TableI:TruthtableforANDgate A   B   Output 0 0 0 0 1 0 1 0 0 1 1 1 TableII:TruthtableforORgate A   B   Output 0 0 0 0 1 1 1 0 1 1 1 1 TableIII:TruthtableforNOTgate A   Output 0 1 1 0 TableIV:TruthtableforNANDgate A   B   Output 0 0 1 0 1 1 1 0 1 1 1 0 TableV:TruthtableforNORgate A   B   Output 0 0 1 0 1 0 1 0 0 1 1 0 TableVI:TruthtableforXORgate A   B   Output 0 0 0 0 1 1 1 0 1 1 1 0 TableVII:TruthtableforXNORgate A   B   Output 0 0 1 0 1 0 1 0 0 1 1 1 Howtogeneratelogicgatestruthtableusinglogicgatecalculator LetusgenerateatruthtablefortheNOTgateusingthelogicgatecalculator. Usingthedrop-downmenu,selectNOTgate. ThecalculatorwilldisplaytheinputAandthesymbolofNOTgate. Usingthedrop-downmenu,selecttheinputA(0or1). Youwillgetthecorrespondingoutputvalue. PlaywithallpossibleinputcombinationstogeneratecorrespondingoutputssothatyoucancreateyourownNOTtruthtable. Asyoucansee,determiningtheoutcomeofanylogicgateisapieceofcakewithourcalculator! Ifyouaremoreofananalogelectronicsperson,youcancheckourop-ampgaincalculator. FAQ Whichlogicgateiscalledauniversalgate? NANDandNORlogicgatesarecalleduniversalgates.ItispossibletocreateallthebasicgatesusingacombinationofNAND(orNOR)gates.Forexample,wecanjointhetwoinputsofaNANDlogicgatetomakeitaone-inputdevice,whichwillfunctionasaNOTgate. Wecanthenusethesebasicgatestocreatealargenumberofcomplicatedcircuits. Whichgateiscalledthelogicalinvertergate? ANOTgateinvertstheinput,hencethenamelogicalinverter.IftheinputofaNOTlogicgateis1,theoutputis0,andiftheinputis0,theoutputis1. Werecommendyoucheckthisyourselfusingourlogicgatecalculator. HowtomakeanANDgatefromaNANDgate? WhenweconnectaNANDgateoutputintoaNOTgate,itisequivalenttoanANDgate.Hence,tomakeanANDgatefromaNANDgate,followtheinstructions: TakeaNANDgateandjoinitsinputtogether.ItwillnowfunctionlikeaNOTlogicgate. TakeanotherNANDgateandconnectitsoutputtotheNOTgateofstep1. Congrats!YouhaveacombinationthatactslikeanANDgate. Howmanytypesofdigitallogicgatesarethere? Therearesevendifferenttypesoflogicgates.Theseare:AND,OR,NOT,NAND,NOR,XOR,andXNOR. PurnimaSingh,PhDLogicGATEoutputGATESelectlogicgateCheckout31similartechandelectronicscalculators💻3DprintingcostAmdahl'slawBatterycapacity…28moreCircumferenceUsethisfreecircumferencecalculatortofindthearea,circumferenceanddiameterofacircle.CircumferenceCalculatorSignificantfiguresThesignificantfigurescalculatorperformsoperationsonsigfigsandshowsyouastep-by-stepsolution!SignificantFiguresCalculator-SigFigTVsizeanddistanceTVsizeanddistancecalculatorletsyoufindouttheidealsizeofyourTVoritsdistancefromyoureyes.TVSizeCalculatorTimecodetoframesTimecodetoframescalculatorconvertsthetimecodeappearinginavideototheframenumber.TimecodetoFramesCalculator