Logic NAND Gate Tutorial

The NAND (Not – AND) gate has an output that is normally at logic level “1” and only goes “LOW” to logic level “0” when ALL of its inputs are at logic level ... X Registertodownloadpremiumcontent! Registertodownloadpremiumcontent! X Deutsch Polski Register LogIn ACCircuits Amplifiers Attenuators BinaryNumbers BooleanAlgebra Capacitors CombinationalLogic Connectivity Counters DCCircuits Diodes Electromagnetism Filters Inductors Input/OutputDevices LogicGates MiscellaneousCircuits OperationalAmplifiers Oscillator PowerElectronics PowerSupplies Premium RCNetworks Resistors Resources SequentialLogic Systems Transformers Transistors Uncategorized WaveformGenerators PremiumContent FurtherEducation Sitemap ContactUs Home / LogicGates / LogicNANDGateTutorial LogicNANDGateTutorial TheLogicNANDGateisacombinationofadigitallogicANDgateandaNOTgateconnectedtogetherinseries TheNAND(Not – AND)gatehasanoutputthatisnormallyatlogiclevel“1”andonlygoes“LOW”tologiclevel“0”whenALLofitsinputsareatlogiclevel“1”.TheLogicNANDGateisthereverseor“Complementary”formoftheANDgatewehaveseenpreviously. LogicNANDGateEquivalence   ThelogicorBooleanexpressiongivenforalogicNANDgateisthatforLogicalAddition,whichistheoppositetotheANDgate,andwhichitperformsonthecomplementsoftheinputs.TheBooleanexpressionforalogicNANDgateisdenotedbyasingledotorfullstopsymbol,( . )withalineorOverline,( ‾‾ )overtheexpressiontosignifytheNOTorlogicalnegationoftheNANDgategivingustheBooleanexpressionof:  A.B = Q. Thenwecandefinetheoperationofa2-inputdigitallogicNANDgateasbeing:   “IfbothAandBaretrue,thenQisNOTtrue” TransistorNANDGate Asimple2-inputlogicNANDgatecanbeconstructedusingRTLResistor-transistorswitchesconnectedtogetherasshownbelowwiththeinputsconnecteddirectlytothetransistorbases.Eithertransistormustbecut-off“OFF”foranoutputatQ.     LogicNANDGatesareavailableusingdigitalcircuitstoproducethedesiredlogicalfunctionandisgivenasymbolwhoseshapeisthatofastandardANDgatewithacircle,sometimescalledan“inversionbubble”atitsoutputtorepresenttheNOTgatesymbolwiththelogicaloperationoftheNANDgategivenas. TheDigitalLogic“NAND”Gate 2-inputLogicNANDGate Symbol TruthTable 2-inputNANDGate B A Q 0 0 1 0 1 1 1 0 1 1 1 0 BooleanExpressionQ = A.B ReadasAANDBgivesNOTQ 3-inputLogicNANDGate Symbol TruthTable 3-inputNANDGate C B A Q 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 BooleanExpressionQ = A.B.C ReadasAANDBANDCgivesNOTQ AswiththeANDfunctionseenpreviously,theNANDfunctioncanalsohaveanynumberofindividualinputsandcommercialavailableNANDGateIC’sareavailableinstandard2,3,or4inputtypes.Ifadditionalinputsarerequired,thenthestandardNANDgatescanbecascadedtogethertoprovidemoreinputsforexample. A4-inputNANDFunction   TheBooleanExpressionforthis4-inputlogicNANDgatewillthereforebe:   Q = A.B.C.D Ifthenumberofinputsrequiredisanoddnumberofinputsany“unused”inputscanbeheldHIGHbyconnectingthemdirectlytothepowersupplyusingsuitable“Pull-up”resistors. TheLogicNANDGatefunctionissometimesknownastheShefferStrokeFunctionandisdenotedbyaverticalbarorupwardsarrowoperator,forexample,ANANDB=A|BorA↑B. The“Universal”NANDGate TheLogicNANDGateisgenerallyclassedasa“Universal”gatebecauseitisoneofthemostcommonlyusedlogicgatetypes.NANDgatescanalsobeusedtoproduceanyothertypeoflogicgatefunction,andinpracticetheNANDgateformsthebasisofmostpracticallogiccircuits. ByconnectingthemtogetherinvariouscombinationsthethreebasicgatetypesofAND,ORandNOTfunctioncanbeformedusingonlyNANDgates,forexample. VariousLogicGatesusingonlyNANDGates   Aswellasthethreecommontypesabove,Exclusive-OR,Exclusive-NORandstandardNORgatescanbeformedusingjustindividualNANDgates. CommonlyavailabledigitallogicNANDgateIC’sinclude: TTLLogicNANDGates 74LS00Quad2-input 74LS10Triple3-input 74LS20Dual4-input 74LS30Single8-input CMOSLogicNANDGates CD4011Quad2-input CD4023Triple3-input CD4012Dual4-input 7400Quad2-inputLogicNANDGate   InthenexttutorialaboutDigitalLogicGates,wewilllookatthedigitallogicNORGatefunctionasusedinbothTTLandCMOSlogiccircuitsaswellasitsBooleanAlgebradefinitionandtruthtables. PreviousLogicNOTGateTutorial NextLogicNORGateTutorial ReadmoreTutorialsinLogicGates 1.DigitalLogicGates 2.LogicANDGateTutorial 3.LogicORGateTutorial 4.LogicNOTGateTutorial 5.LogicNANDGateTutorial 6.LogicNORGateTutorial 7.Exclusive-ORGateTutorial 8.Exclusive-NORGateTutorial 9.DigitalBufferTutorial 10.DigitalLogicGatesSummary 11.Pull-upResistors 12.UniversalLogicGates 129Comments JointheconversationCancelreplyError!Pleasefillallfields. Notifymeoffollow-upcommentsbyemail. Δ dharshan dualofNANDgatesareequaltoitscomplement(showthat) PostedonMay23rd2022|2:24am Reply RuhailaRashidAli Ineedmoreunderstandingoflogicgate PostedonMay21st2022|8:56am Reply IshmaelMwalwanda Better PostedonMarch31st2022|11:53am Reply FeteneYizengaw HowIcandrawNANDgatecircuitdiagram? PostedonJanuary29th2022|3:05pm Reply Kabambakingsley ItsaseriescombinationoftheNOTfunctionandANDfunctionsoyoustartwiththeANDgatethenstraighttoNOTfunctionsothefinaloutputwillbethecomplementaryofthatANDbytheNOT PostedonJune25th2022|3:14pm Reply SharvariSharadkarvekar A’bc+abc’+ab’cnandgateexpression PostedonNovember19th2021|6:20am Reply NwaliejiMaureen SimplifytheBooleanexp.T=(AB+An+AC)AB+AB+AC),anddrawtheresolvedfunctionusingNANDuniversalgate PostedonOctober14th2021|9:59am Reply jj sheesh PostedonSeptember20th2021|3:43pm Reply Rahul Studying PostedonAugust23rd2021|7:49pm Reply nirmal TruthTableGenerateisanonlinewebsiteyoucanWhereyoucancreatetruthtablesallowsyoutodecideonvariablesandlogicalactivitieslikeyourchoice.Usingthistoolyoucanverifytrueandfalse. Howdoyoucreateatruthtable? Youcancreateatablebytypinglogicalandvariableinputboxes.TrueandfalsetablesWillBecreatedbelow. TruthTableExamples: Truthtablegeneratorexample2021:ThetruthtableforthelogicalANDoperator(3-inputANDgate). PostedonJuly09th2021|2:34am Reply GambheerSinghYaduwanshee Iaminterestedinelectronictutorials PostedonJune17th2021|4:26pm Reply sohailMehmood c) ImplementthefollowingfunctionusingNANDgates. F(P,Q,R)=P´.Q+P.R´+Q.R PostedonMay06th2021|7:50am Reply BhiseekarketanAshokbhai Whywedon’tconnetNOTgateattheoutputoftheANDgateintransistorcircuitrypleaseexplain PostedonApril19th2021|6:19am Reply BahrehCham ItisdifficulttobuildANDgate.AlwaysbuildaNANDthatiswhywedon’tconnectNOTgateattheoutputofANDgate!WesimplybuildNANDgate! PostedonApril26th2021|12:09am Reply ياسرباسم ImplementthefollowinglogicexpressionbyusinguniversalNAND.gate(A+BC) PostedonMarch23rd2021|9:37am Reply Dariousmutoleka Iwantthesolution PostedonMarch22nd2021|8:55am Reply HariHaran And.nand,notfull PostedonMarch10th2021|1:30am Reply mrishombwanachembea HowtosolvethisquestionbyUsingonlyNAND,AND,andNOTgates,drawagate-levelcircuitimplementingthelogicalXORfunction.LabelthetwoinputsAandBandlabeltheoutputC. PostedonFebruary15th2021|6:22am Reply MuhammadWaqas F=(B+CD’)+ABC’+AB’ sirsendthissolution PostedonFebruary12th2021|12:11pm Reply Abbababagana Isgoodtoprovidealllogicgatecircuit PostedonNovember12th2020|8:35am Reply M.Malavika Iwanttosolutionforthisquestion.ImplementsthefollowingbooleanfunctionwithNAND-NANDlogic PostedonSeptember27th2020|5:48am Reply Aswini Iwanttosolutionforthisquestion.ImplementsthefollowingbooleanfunctionwithNAND-NANDlogic PostedonDecember09th2020|9:32am Reply Sri Wanttorepresent2inputsusingNandgates…f(A,B)=A’B+AB’ PostedonSeptember13th2020|2:44pm Reply WayneStorr NOTAANDB=A’.B AANDNOTB=A.B’ Thus(A=0ANDB=1)OR(A=1ANDB=0)=Ex-ORfunction PostedonSeptember13th2020|8:50pm Reply ViewMore ReadmoreTutorialsinLogicGates 1.DigitalLogicGates 2.LogicANDGateTutorial 3.LogicORGateTutorial 4.LogicNOTGateTutorial 5.LogicNANDGateTutorial 6.LogicNORGateTutorial 7.Exclusive-ORGateTutorial 8.Exclusive-NORGateTutorial 9.DigitalBufferTutorial 10.DigitalLogicGatesSummary 11.Pull-upResistors 12.UniversalLogicGates LookingforDataSheets? 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