Logic AND Gate Tutorial with Logic AND Gate Truth Table

A simple 2-input logic AND gate can be constructed using RTL Resistor-transistor switches connected together as shown below with the inputs connected directly ... 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 / LogicANDGateTutorial LogicANDGateTutorial TheLogicANDGateisatypeofdigitallogiccircuitwhoseoutputgoesHIGHtoalogiclevel1onlywhenallofitsinputsareHIGH TheoutputstateofadigitallogicANDgateonlyreturns“LOW”againwhenANYofitsinputsareatalogiclevel“0”.InotherwordsforalogicANDgate,anyLOWinputwillgiveaLOWoutput. ThelogicorBooleanexpressiongivenforadigitallogicANDgateisthatforLogicalMultiplicationwhichisdenotedbyasingledotorfullstopsymbol,( . )givingustheBooleanexpressionof:  A.B = Q. Thenwecandefinetheoperationofadigital2-inputlogicANDgateasbeing:   “IfbothAandBaretrue,thenQistrue” 2-inputTransistorANDGate Asimple2-inputlogicANDgatecanbeconstructedusingRTLResistor-transistorswitchesconnectedtogetherasshownbelowwiththeinputsconnecteddirectlytothetransistorbases.Bothtransistorsmustbesaturated“ON”foranoutputatQ.   LogicANDGatesareavailableusingdigitalcircuitstoproducethedesiredlogicalfunctionandisgivenasymbolwhoseshaperepresentsthelogicaloperationoftheANDgate. DigitalLogic“AND”GateTypes The2-inputLogicANDGate Symbol TruthTable 2-inputANDGate B A Q 0 0 0 0 1 0 1 0 0 1 1 1 BooleanExpressionQ = A.B ReadasAANDBgivesQ The3-inputLogicANDGate Symbol TruthTable 3-inputANDGate C B A Q 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 BooleanExpressionQ = A.B.C ReadasAANDBANDCgivesQ BecausetheBooleanexpressionforthelogicANDfunctionisdefinedas(.),whichisabinaryoperation,ANDgatescanbecascadedtogethertoformanynumberofindividualinputs.However,commercialavailableANDgateIC’sareonlyavailableinstandard2,3,or4-inputpackages.Ifadditionalinputsarerequired,thenstandardANDgateswillneedtobecascadedtogethertoobtaintherequiredinputvalue,forexample. Multi-inputANDGate   TheBooleanExpressionforthis6-inputANDgatewillthereforebe: Q = (A.B).(C.D).(E.F) Inotherwords: AANDBANDCANDDANDEANDFgivesQ Ifthenumberofinputsrequiredisanoddnumberofinputsany“unused”inputscanbeheldHIGHbyconnectingthemdirectlytothepowersupplyusingsuitable“Pull-up”resistors. CommonlyavailabledigitallogicANDgateIC’sinclude: TTLLogicANDGate 74LS08Quad2-input 74LS11Triple3-input 74LS21Dual4-input CMOSLogicANDGate CD4081Quad2-input CD4073Triple3-input CD4082Dual4-input 7408Quad2-inputANDGate InthenexttutorialaboutDigitalLogicGates,wewilllookatthedigitallogicORGatefunctionasusedinbothTTLandCMOSlogiccircuitsaswellasitsBooleanAlgebradefinitionandtruthtables. PreviousDigitalLogicGates NextLogicORGateTutorial 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 123Comments JointheconversationCancelreplyError!Pleasefillallfields. Notifymeoffollow-upcommentsbyemail. Δ KimutaiEdwin Actuallyit’sagoodteaching. PostedonMarch22nd2022|7:58am Reply Hammad-ul-Islam Plz PostedonNovember01st2021|6:29am Reply SmithWally DesignalogiccircuitthatasthreeinputA,B,Candwhoseoutputwillbehighonlywhenmajorityofinputarehigh PostedonOctober15th2021|1:54am Reply WayneStorr ImpliesthattheoutputQwillbeHIGH(1)whenevertwoormore(majority)inputsareHIGH(1)otherwisetheoutputQisLOW(0) Thus:Q=AB+AC+BC=three2-inputANDgatesandone3-inputORgate PostedonOctober15th2021|7:39am Reply Jesril (A+B)•Cmakeatable PostedonOctober06th2021|11:32am Reply JaimeLibrado TheICthatwearenowusingtoday,itallstartswiththesimpledigitallogiccircuits. PostedonSeptember30th2021|3:05am Reply MakunguMoses Justkeeponpublishing PostedonSeptember14th2021|8:03am Reply NamyaAndrew Iwanttojoin PostedonSeptember05th2021|10:35am Reply Mahaboobbasha Circuitdiagramof1ab+cd+cd’2ab+ac’+b’a’c3(X+y).(x’+z’).(Y+z) PostedonAugust13th2021|5:22am Reply kushungGideonPius AmsoexcitedtotheextentthatIcanevenmentionanythingfornow PostedonJuly28th2021|4:18pm Reply MuhammadDashe Iwant2Join PostedonMay25th2021|4:53pm Reply kowaryheredia HowcanIusea3wayinputsignal. PostedonMay11th2021|4:16pm Reply Yogendra.rajpoot Joinin PostedonApril21st2021|4:01am Reply Daf Whatisthedetailedtruthtablefor4inputANDgateimplementedwith2inputANDgate? PostedonMarch21st2021|11:14am Reply Keerthishetty Nothing’s PostedonMarch03rd2021|3:07am Reply UsmanAbubakar AmsogladonmeetingyouyouwhybecauseIhavesomanyproblemsanduhavesolvedit PostedonFebruary27th2021|5:37pm Reply Noura WhatistheoperationofANDgateswith2inputswithappropritegatesymbol,truthtableandbooleanexpressions PostedonJanuary31st2021|7:49am Reply aakarshan awesome PostedonJanuary28th2021|5:53am Reply Rohityadav Rohit PostedonJanuary16th2021|10:21am Reply Ashik ANDgateORgatesolutiontotheproblem PostedonJanuary03rd2021|10:00am Reply Yarima ThanksIwillhappeytomeetyou PostedonDecember18th2020|12:02pm Reply M.Kareem WhatisTTLlogicgate PostedonJune23rd2021|3:41pm 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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