gate paper as n and syn counter
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 1/11
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Friday,November14,2014
QuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)GATEPrevious
1987
1.AripplecounterusingnegativeedgetriggeredDflipflopsisshownbelow.Theflipflopsareclearedto0attheRinput.Thefeedbacklogicistobedesignedtoobtainthecountsequenceshowninthesamefigure.Thecorrectfeedbacklogicis:
Solution:https://www.youtube.com/watch?v=qljzFR3B6TM
1990
1.A4bitmodulo16ripplecounterusesJKflipflops.Ifthepropagationdelayofeachflipflopis50nsec,themaximumclockfrequencythatcanbeusedisequalto
a.20MHzb.10MHzc.5MHzd.4MHz
Solution:https://www.youtube.com/watch?v=v4RIzGm0DGY
1993
1.Apulsetrainwithafrequencyof1MHziscountedusingamodulo1024ripplecounterbuiltwithJKflipflops.Forproperoperationofthecounter,themaximumpermissiblepropagationdelayperflipflopstageis____nsec.
Solution:https://www.youtube.com/watch?v=VXYFD01hQDU
2.Aclockedsequentialcircuithasthreestates,A,BandCandoneinputX.AslongastheinputXis0,thecircuitalternatesbetweenthestatesAandB.iftheinputXbecomes1(eitherinstateAorinstateB),thecircuitgoestostateCandremainsinstateCaslong
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 2/11
asXcontinuestobe1.ThecircuitreturnstostateAiftheinputbecomes0onceagainandfromthenonrepeatsitsbehavior.AssumethatthestateassignmentsareA=00,B=01andC=10.a.Drawthestatediagramofthecircuit.b.Givethestatetableofthecircuit.c.DrawthecircuitusingDflipflops.
Solution:https://www.youtube.com/watch?v=uEwqg5Ho7Vo
1994
1.Synchronouscountersare________thantheripplecounters.
Solution:https://www.youtube.com/watch?v=1qBwgRPMMU8
2.Aringoscillatorconsistingof5invertersisrunningatafrequencyof1MHz.thepropagationdelaypereachgateis________nsec.
Solution:https://www.youtube.com/watch?v=aAm0ZPJhAM
1996
1.Astatemachineisrequiredtocyclethroughthefollowingsequenceofstates:ABC:000>010>111>100>011>101.
Onepossibleimplementationofthestatemachineisshowninfigure.Specifywhatsignalsshouldbeappliedtoeachofthemultiplexerinputs.
Solution:https://www.youtube.com/watch?v=fNIP5XoARP0
1997
1.Asequencegeneratorisshowninfigure.Thecounterstatus(Q0Q1Q2)isinitializedto010usingpreset/clearinputs.
Theclockhasaperiodof50nsandtransitionstakeplaceattherisingclockedge.a.GivethesequencegeneratesatQ0tillrepeats.b.Whatistherepetition ofthegeneratedsequence?
Solution:https://www.youtube.com/watch?v=iOk6PXkY8
1998
1.ThefigureisshowsamodKcounter,hereKisequalto
rate
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 3/11
a.1b.2c.3d.4
Solution:https://www.youtube.com/watch?v=M521kKIu3U
2.Themod5counterisshowninthefigurecountsthroughstatesQ2Q1Q0=000,001,010,011and100.
a.Willthecounterlockoutifithappentobeinanyoneoftheunusedstates?b.Findthemaximum atwhichthecounterwilloperatesatisfactorily.AssumethepropagationdelaysofflipflopandANDgatetobetFFandtArespectively.
Solution:https://www.youtube.com/watch?v=We99dI2DCJw
1999
1.Theripplecountershowninthegivenfigureisworksasa
a.Mod3upcounterb.Mod5upcounterc.Mod3downcounterd.Mod5downcounter
Solution:https://www.youtube.com/watch?v=JYOaavMXJzE
2.Thecircuitdiagramofasynchronouscounterisshowninthegivenfigure.Determinethesequenceofstatesofthecounterassumingthattheinitialstateis000.GiveyouranswerinatabularformshowingthepresentstateQA,QB,QC,JKinputs(JA,KA,JB,KB,JC,KC)andthenextstateQA+,QB+,QC+.Fromthetable,determinethemodulusofthecounter.
Solution:https://www.youtube.com/watch?v=wnKE1bQlfhg
2000
1.Inthegivenfigure,theJandKinputsofallthefourflipflopsaremadehigh.ThefrequencyofthesignalatoutputYis
rate
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 4/11
a.0.833KHzb.1.0KHzc.0.91KHzd.0.77KHzSolution:https://www.youtube.com/watch?v=ed2xKY4lc2c
2001
1.Fortheringoscillatorshownintehfigure,thepropagationdelayofeachinverteris100picosec.Whatisthefundamentalfrequencyoftheoscillatoroutput?
a.10MHzb.100MHzc.1GHzd.2GHz
Solution:https://www.youtube.com/watch?v=HefE3DzUfOo
2.Thedigitalblockinthefigure,realizedusingtwopositiveedgetriggeredDflipflops.Assumethatfort001>010.....andsoon.ThetruthtablefortheABflipflopisgiveninfigure.
a.Writedownthestatetableforthemod5counterb.ObtainsimplifiedSOPexpressionsfortheinputsA2,B2,A1,B1,A0andB0intermsofQ2,Q1,Q0andtheircomplements.c.Hencecompletethecircuitdiagramforthemod5countergiveninthefigure
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 5/11
usingminimumnumberof2inputNANDgateonly.
Solution:https://www.youtube.com/watch?v=2HJzJKC38Y
2003
1.A0to6counterconsistsof3flipflopsandacombinationcircuitof2inputgate(s).Thecombinationcircuitconsistsofa.oneANDgateb.oneORgatec.oneANDgateandoneORgated.twoANDgates
Solution:https://www.youtube.com/watch?v=eQA5gMcQSuw
2.A4bitripplecounteranda4bitsynchronouscounteraremadeusingflipflopshavingapropagationdelayof10nseach.IftheworstcasedelayintheripplecounterandthesynchronouscounterbeRandSrespectively,thena.R=10ns,S=40nsb.R=40ns,S=10nsc.R=10ns,S=30nsd.R=30ns,S=10ns
Solution:https://www.youtube.com/watch?v=cAStF7mPky8
2004
1.Inthemodulo6ripplecountershowninthegivenfigure,theoutputofthe2inputgateisusedtocleartheJKflipflops.
The2inputgateisa.NANDgateb.NORgatec.ORgated.ANDgate
Solution:https://www.youtube.com/watch?v=2b1wBH220Oo
2005
1.Thegivenfigureshowsaripplecounterusingpositiveedgetriggeredflipflops.IfthepresentstateofthecounterisQ2Q1Q0=011,thenitsnextstateQ2Q1Q0willbe
a.010b.100c.111d.101
Solution:https://www.youtube.com/watch?v=iZWdwF2lfmw
2006
1.TwoDflipflopsaretobeconnectedasasynchronouscounterasshownbelow,that
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 6/11
goesthroughthefollowingQ1Q0sequence00>01>11>10>00>..TheinputsD0andD1respectivelyshouldbeconnectedas
Solution:https://www.youtube.com/watch?v=u3fgelNywPs
2007
1.Forthecircuitshown,thecounterstate(Q1Q0)followsthesequence
a.00,01,10,11,00..b.00,01,10,00,01..c.00,01,11,00,01..d.00,10,11,00,10..
Solution:https://www.youtube.com/watch?v=aLGSUebXUW4
2008
1.ForeachofthepositiveedgetriggeredJKflipflopusedinthefollowingfigure,thepropagationdelayisT.
WhichofthefollowingwaveformscorrectlyrepresentstheoutputatQ1?
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 7/11
Solution:https://www.youtube.com/watch?v=N7ZYplccPcA
2009
1.Whatarethecountingstages(Q1,Q2)forthecountershowninthefigurebelow?
a.11,10,00,11,10.b.01,10,11,00,01.c.00,11,01,10,00..d.01,10,00,01,10..
Solution:https://www.youtube.com/watch?v=marTcMTzg0Y
2010
1.Assumingthatallflipflopsareinresetconditioninitially,thecountsequenceobservedatQAinthecircuitshownis
a.0010111.b.0001011.c.0101111.d.0110100.
Solution:https://www.youtube.com/watch?v=UsicxIAMqx0
2011
1.WhentheoutputYinthecircuitbelowis1,itimpliesthatdatahas
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 8/11
a.Changedfrom0to1b.Changedfrom1to0c.Changedineitherdirectiond.Notchanged
Solution:https://www.youtube.com/watch?v=amudsVzHy88
2.Theoutputofa3stageJohnson(twistedring)counterisfedtoadigitaltoanalog(D/A)converterasshowninthefigurebelow.Assumeallstatesofthecountertobeunsetinitially.ThewaveformwhichrepresentstheD/AconverteroutputVois
Solution:https://www.youtube.com/watch?v=g9vVeVizDIM
3.TwoDflipflopsareconnectedasasynchronouscounterthatgoesthroughthefollowingQBQAsequence00>11>01>10>00>.TheconnectionsoftheinputsDAandDBare
Solution:https://www.youtube.com/watch?v=_9k8tNpWn7w
2012
1.Thestatetransitiondiagramforthelogiccircuitshownis
Solution:https://www.youtube.com/watch?v=S2ytlAcBkFk
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 9/11
2014
1.FiveJKflipflopsarecascadedtoformthecircuitshowninfigure.Clockpulsesatafrequencyof1MHzareappliedasshown.Thefrequency(inKHz)ofthewaveformatQ3is
Solution:https://www.youtube.com/watch?v=ID70DQCpDCg
2.ThedigitallogicshowninthefiguresatisfiesthegivenstatediagramwhenQ1isconnectedtoinputAoftheXORgate.SupposetheXORgateisreplacedbytheXNORgate.Whichoneofthefollowingoptionspreservesthestatediagram?
Solution:https://www.youtube.com/watch?v=tBqtKpt1oSE
3.Inthecircuitshown,choosethecorrecttimingdiagramoftheoutput(y)fromthegivenwaveformsW1,W2,W3andW4.
a.W1b.W2c.W3d.W4Solution:https://www.youtube.com/watch?v=E3XeZjGgzqY
4.TheoutputsofthetwoflipflopsQ1,Q2inthefigureshownareinitializedto0,0.ThesequencegeneratedatQ1uponapplicationofclocksignalis
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
http://www.gatepaper.in/2014/11/gatepreviousquestionsonasynchronous.html 10/11
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Sindhu Gaddam 3 months ago - Shared publiclymax error=quantised error + cummulative error quantised error= full scale voltage/2^number of bits =2.55/2^8 =10mv(approx) now max error= 10mv+2.55mv =12.55mv
+2 3
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thanks but sorryshubhranshu kumar 2 days ago
Monika Kunwal 5 months ago - Shared publiclySir, can you u please solve this question An 8-bit ADC has full scale of 2.55volt. If other cumulative error has 2.55 mV.determine maximum error. (a)10m V (b) 12.55mV (c) 7.45 mV (d) 2.55 mV
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Add a comment as Dhruv Chauhan
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a.01110.b.01010..c.00110.d.01100..
Solution:https://www.youtube.com/watch?v=wNoctGWwcfs
5.Thecircuitshowninthefigureisa
a.Toggleflipflopb.JKflipflopc.SRLatchd.MasterSlaveDflipflop
Solution:https://www.youtube.com/watch?v=AvKzOVpre_k
+10 Recommend this on Google
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1/14/2016 GATEPaper.in:GATEPreviousQuestionsonAsynchronous&SynchronousCounterswithSolutions(19872014)
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