Truth Table, Symbol, Circuit Diagram, 3input AND Gate

3 Input AND Gate Truth Table ... As the inputs are multiplied with each other to generate the output, the output of a three-input AND gate is ... 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|Updated:Aug8,202123:49IST 0  Save DownloadPostasPDF InBooleanalgebra,allthealgebraicfunctionsareperformedlogically.TheAND,OR,andNOTarethebasicoperationsthatareperformedinBooleanalgebra.TheadditiontotheseissomeotherderivedoperationslikeNAND,NOR,EX-ORandEX-NOR.Wewilldiscusseachofthegatesindetailintheupcomingarticles.Basically,thelogicgatesareclassifiedintothreecategoriesi.eBasic,UniversalandSpecialpurposegates.ThroughthisarticleyouwilllearnaboutANDGate;comeunderoneofthebasicgates.ThisarticleonbringstoyouanintroductiontoANDGATEthroughthesymbol,truthtablefortwoandthreeinputs,circuitdiagramwithimagesandmore.ChecktheComponentsofComputerhere.ANDGateSymbolBelowisthesymbolfortwoinputANDGATE,wherethelogicaloperationfortheoutputisgivenas: Y=ABHere,YistheoutputandAandBarethetwoinputs.ANDGateTruthTableThebelowisthetruthtablefortwoinputsANDGate.ItcanbeveryclearlyseenthattheoutputstateofanANDgateresponds“LOW”ifanyofitsinputsareatalogiclowi.e“0”.InotherwordsonecanunderstandforalogicANDgate,anyLOWinputwillfurnishaLOWoutput,andtheoutputis“HIGH”onlyifboththeinputsareatlogichighi.e“1”.ThelogicorBooleanexpressionforANDgateissimplytheLogicalMultiplicationoftheinputswhichisdenotedbyasingledotorfullstopsymbol,(.)givingustheBooleanexpressionoftwo-inputANDGateas: A.B=YLearnaboutvarioustypesofComputerStorageDeviceshere.3InputANDGate TheANDgatecanhavetwoormoreinputs,becausetheBooleanexpressionforthelogicANDfunctionisrepresentedas(.),whichisabinaryoperation,i.eANDgatescanbecascadedtogethertocreateanynumberofindividualinputs.Belowisthesymbolicrepresentationofthethree-inputANDGate,wheretheoutputisgivenby:Y=A.B.C3InputANDGateTruthTableAstheinputsaremultipliedwitheachothertogeneratetheoutput,theoutputofathree-inputANDgateislogichighwhenthreeoftheinputsareatlogichighi,e‘1’.Ifanyoneortwooftheinputsis“LOW”oratlogiczerothentheoutputisalsologiczeroirrespectiveoftheotherinputs.Belowshownisthetruthtableforthree-inputANDGate.CheckthevarioustypesofInputandOutputDeviceshere. ANDGateCircuitDiagramBelowshownistheTwoinputANDgatecircuitconstructedusingTransistors.Bothtransistorsmustbe“ON”fortheoutputatYtobelogichigh.Initially,whenboththeinputsareatzeromakingthetransistorsOFF/opencircuit.ThustheVccdoeshaveapathtotheoutputhencethefinaloutputiszero.Inthenextcaseifanyone(sayAorB)oftheinputisactivehighthenalsothefinaloutputiszerooractivelow.Astheemitterofonetransistorisconnectedtothecollectorofothertransistors. KnowmoreaboutNOTGate,here.ForbetterunderstandingconsideracasewheninputA=1andB=0.AlthoughthefirsttransistorisONbutduetotheOFFstateofthesecondtransistor,thefinaloutputisstillatlogiczero.ThesameisthesituationwheninputA=0andB=1.HereVccdoesnotgetapathtotravelasthefirsttransistorisanopencircuit.Next,istheANDgateCircuitusingDiodesalsocalledadiodeANDgate. Inthecircuit,if+Vccisappliedtothediodes,thediodesarereversedbiasedandhencebothdiodesareOFForopencircuit.Thisallowstheentirevoltagetoappearacrosstheoutputgeneratinganactivehighoutput.Now,ifanyoftheinputsAorBorbothareappliedwith0Voltoraregrounded,therespectivediodesgetforwardbiasedandhencebehaveas‘ON’orshort-circuited.Inthisstate,supplyvoltageatpointwillgetapaththrougheitherofdiodesorbothtothegroundpotential.Hencethefinaloutputatthisconditionwillbelogiczero.YoumightalsobeinterestedinlearningmoreaboutNANDGate.SwitchDiagramforANDgateisasfollows:Now,theinputXisconnectedtooutputYwhenboththeswitchAandSwitchBareclosed.ABYOpen(0)Open(0)OFF(0)Open(0)Close(1)OFF(0)Close(1)Open(0)OFF(0)Close(1)Close(1)ON(1)Fromtheabovetruthtable,thecircuitdiagramrepresentsanANDgatei.e.Y=ABAlsoreadmoreEx-ORGate,here.KeyPointsANDgatefollowsbothCommutativeandAssociativelaw.CommutativeLaw-A.B=B.AAssociativeLaw-(A.B).C=(A.C).B=(B.C).AInmultiple-inputANDgate,theunusedinputscanbeconnectedto:Logiconeorenable(mostlyapplied).Oneoftheusedinputs.InTTLlogictheunusedinputsarekeptopenorfloating.AND GateICCommonlyavailabledigitallogicANDgateIC’sinclude:TTLLogicANDGate-74LS08Quad2-input,74LS11Triple3-inputand74LS21Dual4-input.CMOSLogicANDGate-CD4081Quad2-input,CD4073Triple3-inputandCD4082Dual4-input.CheckmoretopicsofDigitalElectronicshere.TheabovearticleonANDGATEisintendedtoguidestudentswithrelevantinformation.Formore,downloadandinstalltheTestbookApporvisitthetestbookwebsiteformoreupdatesonsimilartopicsfromDigitalElectronicsandnumeroussuchsubjects,andcanevencheckthetestseriesavailabletotestyourknowledgeregardingvariousexams. ANDGateFAQsQ.1 WhatdoesANDgatemean?Ans.1AnANDgateisacircuitthatconnectstwosignalssuchthattheoutputisonifandonlyifbothsignalsarepresent.Q.2 WhatdoesanANDgatedo?Ans.2TheANDgateisabasicdigitallogicgatethatimplementsalogicalconnectionofinputsitbehavesaccordingtothetruthtable.AHIGHoutput(logic1)resultsonlyifalltheinputstotheANDgateareHIGH(logic1).Q.3 WhatistheequationofANDgate?Ans.3Theequationoftwoinputandgateisgivenby:Y=A.BHereYistheoutputandAandBaretherespectiveinputs.Q.4 WhatarelawsfollowedbyANDgate?Ans.4ANDgatefollowsbothassociativeandcommutativelaw.Q.5 Whatarebasicgates?Ans.5ThebasicgatescompriseAND,OR,andNOTgates.Mostofthedigitalcircuitscanbedesignedbyonlythreebasiclogicgates.  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