Logic NOR Gate Tutorial

The inclusive NOR (Not-OR) gate has an output that is normally at logic level “1” and only goes “LOW” to logic level “0” when ANY of its inputs are at logic ... 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 / LogicNORGateTutorial LogicNORGateTutorial TheLogicNORGategateisacombinationofthedigitallogicORgateandaninverterorNOTgateconnectedtogetherinseries TheinclusiveNOR(Not-OR)gatehasanoutputthatisnormallyatlogiclevel“1”andonlygoes“LOW”tologiclevel“0”whenANYofitsinputsareatlogiclevel“1”.TheLogicNORGateisthereverseor“Complementary”formoftheinclusiveORgatewehaveseenpreviously. LogicNORGateEquivalent   ThelogicorBooleanexpressiongivenforalogicNORgateisthatforLogicalMultiplicationwhichitperformsonthecomplementsoftheinputs.TheBooleanexpressionforalogicNORgateisdenotedbyaplussign,( + )withalineorOverline,( ‾‾ )overtheexpressiontosignifytheNOTorlogicalnegationoftheNORgategivingustheBooleanexpressionof:  A+B = Q. Thenwecandefinetheoperationofa2-inputdigitallogicNORgateasbeing:   “IfbothAandBareNOTtrue,thenQistrue” TransistorNORGate Asimple2-inputlogicNORgatecanbeconstructedusingRTLResistor-transistorswitchesconnectedtogetherasshownbelowwiththeinputsconnecteddirectlytothetransistorbases.Bothtransistorsmustbecut-off“OFF”foranoutputatQ.   LogicNORGatesareavailableusingdigitalcircuitstoproducethedesiredlogicalfunctionandisgivenasymbolwhoseshapeisthatofastandardORgatewithacircle,sometimescalledan“inversionbubble”atitsoutputtorepresenttheNOTgatesymbolwiththelogicaloperationoftheNORgategivenas. TheDigitalLogic“NOR”Gate 2-inputNORGate Symbol TruthTable 2-inputNORGate B A Q 0 0 1 0 1 0 1 0 0 1 1 0 BooleanExpressionQ = A+B ReadasAORBgivesNOTQ 3-inputNORGate Symbol TruthTable 3-inputNORGate C B A Q 0 0 0 1 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 0 BooleanExpressionQ = A+B+C ReadasAORBORCgivesNOTQ AswiththeORfunction,theNORfunctioncanalsohaveanynumberofindividualinputsandcommercialavailableNORGateIC’sareavailableinstandard2,3,or4inputtypes.Ifadditionalinputsarerequired,thenthestandardNORgatescanbecascadedtogethertoprovidemoreinputsforexample. A4-inputNORFunction   TheBooleanExpressionforthis4-inputNORgatewillthereforebe:   Q = A+B+C+D Ifthenumberofinputsrequiredisanoddnumberofinputsany“unused”inputscanbeheldLOWbyconnectingthemdirectlytogroundusingsuitable“Pull-down”resistors. TheLogicNORGatefunctionissometimesknownasthePierceFunctionandisdenotedbyadownwardsarrowoperatorasshown,A↓B. The“Universal”NORGate LiketheNANDgateseeninthelastsection,theNORgatecanalsobeclassedasa“Universal”typegate.NORgatescanbeusedtoproduceanyothertypeoflogicgatefunctionjustliketheNANDgateandbyconnectingthemtogetherinvariouscombinationsthethreebasicgatetypesofAND,ORandNOTfunctioncanbeformedusingonlyNORgates,forexample. VariousLogicGatesusingonlyNORGates   Aswellasthethreecommontypesabove,Exclusive-OR,Exclusive-NORandstandardNORgatescanalsobeformedusingjustindividualNORgates. CommonlyavailabledigitallogicNORgateIC’sinclude: TTLLogicNORGates 74LS02Quad2-input 74LS27Triple3-input 74LS260Dual4-input CMOSLogicNORGates CD4001Quad2-input CD4025Triple3-input CD4002Dual4-input 7402Quad2-inputNORGate   InthenexttutorialaboutDigitalLogicGates,wewilllookatthedigitallogicExclusive-ORgateknowncommonlyastheEx-ORGatefunctionasusedinbothTTLandCMOSlogiccircuitsaswellasitsBooleanAlgebradefinitionandtruthtables. PreviousLogicNANDGateTutorial NextExclusive-ORGateTutorial 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 76Comments JointheconversationCancelreplyError!Pleasefillallfields. Notifymeoffollow-upcommentsbyemail. Δ AjaypalSingh iknowaboutitssomebasicconcepts. PostedonMay04th2022|4:49pm Reply Rahulebanan TheNANDGatesandNORGates PostedonOctober31st2021|5:24am Reply ராகுல்இபணன் Logicgated PostedonOctober31st2021|5:23am Reply JohnnyTorres Hello. CouldyousomeoneexplaintomethemeaningofthisexpressionfoundinanveryoldDIGITALadvertising? “AnassistantprofessoratStategrewattachedtohisPDP-8.Whenhetriedtoexpressit, hewastoldtorepressit,forhuggingmightNORanORgate”. IamnotanEnglish-speakingperson,andIguessthereisajokeandawordgameinthephrase,butIdonotgetit. Thanksinadvance. Johnny PostedonApril29th2021|4:01pm Reply Marwa –DrawalogiccircuitusingNORgateonly,thatisequivalenttoanXOR (2-input)logic,Thencheckisoperationusingatruthtable. PostedonMarch31st2021|11:26am Reply BahrehCham AxorB=(A’+B)+(B’+A) PostedonApril26th2021|12:50am Reply Ben implementusingNORgateonly(AC’)+(B’D) PostedonMarch18th2021|4:29pm Reply Ap A’B,+CimplimentusingNORgateonly PostedonFebruary21st2021|3:04pm Reply Rabiaaakash ConvertthefollowingboleanexpressiontoonlyNORgateimplementation F=A(AD`+B`)+D`+AC PostedonFebruary11th2021|10:01pm Reply KamleshJumrani WhenyousimplifythisequationitbecomesonlyA Andyoucaneasilyimplementit PostedonJune16th2021|2:44am Reply Jiya ConvertthefollowingBooleanExpressiontoNORgateimplementation F=A.B̅.C+A̅.B.C̅+A.B PostedonJanuary08th2021|4:12pm Reply Priyanshu DrawthetruthtableofNORASANDgateandverifyitwithtruthtableofANDgate PostedonJanuary02nd2021|1:12pm Reply karan sendanswer PostedonNovember04th2020|1:07pm Reply nikitanareshbhairamanandi ReduceBooleanFunction&ReduceusingNORgateonlyX=A(B’+C’)(A+D) PostedonSeptember24th2020|7:49am Reply San ThisisveryusefultostudyEverythingispresentedverywellandclearlyIrequesttoaddthetimingdiagramforeachofthegatestoo. PostedonSeptember05th2020|12:33am Reply Victor Ilovethetutorial,butwouldyouhelpmewiththelogicexpressionobtainedbytwoinputNORgatesplease? PostedonAugust31st2020|7:33am Reply ShreyaBasak Goodmorning🌞friends PostedonAugust07th2020|2:35am Reply PARTHBHATT HI PostedonJanuary10th2021|6:08am Reply VipulRaj Prepareandnot&ofgateandtheircircuitdiagrambynorgate PostedonMay11th2020|4:30am Reply Jhumu Veryhelpful PostedonApril17th2020|7:02pm Reply ShreyaBasak Hi PostedonAugust07th2020|2:36am Reply Anupam RepresentAB’+Cusingnorgateonly PostedonMarch23rd2020|2:51am Reply Alan Howdoirepresent(a.c)+(b.c)usingonlynorgate PostedonMarch17th2020|2:55pm Reply Uduifeoma Plsiwannaknowhowtwonorgatescanformanorgate. Asap,thankyou PostedonFebruary01st2020|9:25pm Reply WayneStorr FirstNORgateasaNORgate,secondNORgateconnectedasaninverter. PostedonFebruary02nd2020|3:51pm 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? Close TheBasics ContactUs PrivacyPolicy TermsofUse ForAdvertisers ContactSales MediaGuideRequest AspencoreNetwork EDN EETimes EEWeb ElectronicProducts PowerElectronicsNews EPSNews Embedded PlanetAnalog ElectroSchematics TechOnline Datasheets.com ElectronicsKnowHow IoTTimes GlobalNetwork EETimesAsia EETimesChina EETimesIndia EETimesJapan EETimesTaiwan EDNAsia EDNChina EDNTaiwan EDNJapan ESMChina ConnectwithUs Facebook AllcontentsareCopyright©2022byAspenCore,Inc.Allrightsreserved. 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