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Review
LatchFlip-FlopSec.7.3Flip-FlopOperatingCharacteristicsCHAPTER7PropagationDelayTimes
Apropagationdelaytimeistheintervaloftimerequiredafteraninputsignalhasbeenappliedfortheresultingoutputchangetooccur.Sec.7.3Flip-FlopOperatingCharacteristicsCHAPTER7PropagationDelayTimesSec.7.3Flip-FlopOperatingCharacteristicsCHAPTER7Set-upTime
Theset-uptimeistheminimumintervalrequiredforthelogiclevelstobemaintainedconstantlyontheinputspriortothetriggeringedgeoftheclockpulseinorderforthelevelstobereliablyclockedintotheflip-flop.Sec.7.3Flip-FlopOperatingCharacteristicsCHAPTER7HoldTime
Theholdtimeistheminimumintervalrequiredforthelogiclevelstoremainontheinputsafterthetriggeringedgeoftheclockpulseinorderforthelevelstobereliablyclockedintotheflip-flop.Sec.7.3Flip-FlopOperatingCharacteristicsCHAPTER7MaximumClockFrequency
Theminimumpulsewidthsforreliablyoperationareusuallyspecifiedbythemanufacturerfortheclock,preset,andclearinputs.
Themaximumclockfrequencyisthehighestrateatwhichaflip-flopcanbereliablytriggered.PulseWidthsSec.7.3Flip-FlopOperatingCharacteristicsCHAPTER7PowerDissipationThepowerdissipationofanydigitalcircuitisthetotalpowerconsumptionofthedevice.Thepowerdissipationisveryimportantinmostapplicationsinwhichthecapacityofthedcsupplyisconcern.Sec.7.4Flip-FlopApplicationsCHAPTER7
ParallelDataStorage
Acommonrequirementindigitalsystemsistostoreseveralbitsofdatafromparallellinessimultaneouslyinagroupofflip-flops.Sec.7.4Flip-FlopApplicationsCHAPTER7
FrequencyDivision
Dividing(reducing)thefrequencyofaperiodicwaveformSec.7.4Flip-FlopApplicationsCHAPTER7
FrequencyDivisionSec.7.4Flip-FlopApplicationsCHAPTER7
FrequencyDivisionSec.7.4Flip-FlopApplicationsCHAPTER7
CountingFigure7–41Flip-flopsusedtogenerateabinarycountsequence.Tworepetitions(00,01,10,11)areshown.Sec.7.4Flip-FlopApplicationsCHAPTER7
Counting
Example7-11Determinetheoutputwaveforms.Sec.7.4Flip-FlopApplicationsCHAPTER7
CountingChapter8
CountersMainContents
SynchronousCounterOperationAsynchronousCounterOperationCascadedCountersCounterDecodingCombinationalcircuitFlip-flopcircuitX1XiZ1ZjQ1QmD1Dm…………inputsignalsignaloutputFlip-flopFlip-flopInputsignalOutputsignalCPSec.8.1AsynchronousCounterOperationCHAPTER8
Thetermasynchronousreferstoeventsthatdonothaveafixedtimerelationshipwitheachotherand,generally,donotoccuratthesametime.Theflip-flopsdonothavethecommonclockpulse.Sec.8.1AsynchronousCounterOperationCHAPTER8A2-BitAsynchronousBinaryCounterFigure8–1A2-bitasynchronousbinarycounter.Sec.8.1AsynchronousCounterOperationCHAPTER8A2-BitAsynchronousBinaryCounterFigure8–2TimingdiagramforthecounterofFigure8–1.
Sec.8.1AsynchronousCounterOperationCHAPTER8A2-BitAsynchronousBinaryCounterBinarystatesequenceforcounterinFigure8-1
ClockPulseQ1Q0Initially001012103114(recycles)00Sec.8.1AsynchronousCounterOperationCHAPTER8A3-BitAsynchronousBinaryCounterStatesequencefora3-bitbinarycounter
ClockPulseQ2Q1Q0Initially00010012010301141005101611071118(recycles)000Sec.8.1AsynchronousCounterOperationCHAPTER8A3-BitAsynchronousBinaryCounterSec.8.1AsynchronousCounterOperationCHAPTER8PropagationDelaySec.8.1AsynchronousCounterOperationCHAPTER8PropagationDelay
Themaximumcumulativedelayinacountermustbelessthantheperiodoftheclockwaveform.Thetotaldelayof3-bitasynchronousbinarycounterisSec.8.1AsynchronousCounterOperationCHAPTER8
Example8-1A4-bitasynchronousbinarycounterisshowninFigure8-5(a).Eachflip-flopisnegativeedge-triggeredandhasapropagationdelayfor10ns.Determinethemaximumclockfrequency.Sec.8.1AsynchronousCounterOperationCHAPTER8
Solution:Forthetotaldelaytime,theeffectofCLK8andCLK16mustpropagatethroughfourflip-flopsbeforeQ3changes,so
ThemaximumclockfrequencyisSec.8.1AsynchronousCounterOperationCHAPTER8AsynchronousDecodeCounters
Themodulusofacounteristhenumberofuniquestatesthroughwhichthecounterwillsequence.Themaximumpossiblenumberofstatesofacounteris2n,wherenisthenumberofflip-flopsinthecounters.Counterscanbedesignedtohaveanumberofstatesintheirsequencethatislessthanthemaximumof2n.Sec.8.1AsynchronousCounterOperationCHAPTER8AsynchronousDecodeCountersFigure8-6DecadeCounter(0000~1010)Sec.8.1AsynchronousCounterOperationCHAPTER8AsynchronousDecodeCounters
Example8-2Showhowanasynchronouscountercanbeimplementedhavingamodulusoftwelvewithastraightbinarysequencefrom0000through1011.Solution:thestateis0000->0001->0010->0011->….->1000->1001->1010->1011->0000->0001Sec.8.1AsynchronousCounterOperationCHAPTER8AsynchronousDecodeCountersFigure8–7Asynchronouslyclockedmodulus-12counterwithasynchronousrecycling.Sec.8.1AsynchronousCounterOperationCHAPTER8The74LS934-BitAsynchronousBinaryCounterSec.8.1AsynchronousCounterOperationCHAPTER8The74LS934-BitAsynchronousBinaryCounterSec.8.1AsynchronousCounterOperationCHAPTER8
Example8-3Showhowthe74LS93canbeusedasamodulus-12counter.Solution:Usingthegatedresetinputs,RO(1)andRO(2)
Sec.8.2SynchronousCounterOperationCHAPTER8
Thetermsynchronousreferstoeventsthathaveafixedtimerelationshipwitheachother.Asynchronouscounterisoneinwhichalltheflip-flopinthecounterareclockedatthesametimebyacommonclockpulse.Sec.8.2SynchronousCounterOperationCHAPTER8
Figure8-11showsa2-bitsynchronousbinarycounter.A2-bitSynchronousBinaryCounterSec.8.2SynchronousCounterOperationCHAPTER8A2-bitSynchronousBinaryCounterFigure8–12Timingdetailsforthe2-bitsynchronouscounteroperation(thepropagationdelaysofbothflip-flopsareassumedtobeequal).Sec.8.2SynchronousCounterOperationCHAPTER8A2-bitSynchronousBinaryCounterFigure8–13TimingdiagramforthecounterofFigure8–11.Sec.8.2SynchronousCounterOperationCHAPTER8A2-bitSynchronousBinaryCounterThestateof2-bitsynchronousbinarycounteris
Sec.8.2SynchronousCounterOperationCHAPTER8A3-bitSynchronousBinaryCounterSec.8.2SynchronousCounterOperationCHAPTER8A3-bitSynchronousBinaryCounterWhenQ0Q1=1,thereisacarrytoQ2Sec.8.2SynchronousCounterOperationCHAPTER8A3-bitSynchronousBinaryCounterClockPulseQ2Q1Q0Initially00010012010301141005101611071118(recycles)000Statesequencefora3-bitbinarycounter
Sec.8.2SynchronousCounterOperationCHAPTER8A4-bitSynchronousBinaryCounterSec.8.2SynchronousCounterOperationCHAPTER8A4-bitSynchronousDecadeCounter
ABCDdecadecounterexhibitsatruncatedbinarysequenceandgoesfrom0000throughthe1001state.Ratherthangoingfromthe1001stateto1010state,itrecyclestothe0000state.Sec.8.2SynchronousCounterOperationCHAPTER8A4-bitSynchronousDecadeCounterFigure8–17AsynchronousBCDdecadecounter.Sec.8.2SynchronousCounterOperationCHAPTER8A4-bitSynchronousDecadeCounterFigure8–18TimingdiagramfortheBCDdecadecounter(Q0istheLSB).Sec.8.2SynchronousCounterOperationCHAPTER8A4-bitSynchronousDecadeCounterJ1=K1=Q0Q3J0=K0=1J2=K2=Q0Q1J3=K3=Q0Q1Q2+Q0Q3Sec.8.2SynchronousCounterOperationCHAPTER8A4-bitSynchronousDecadeCounterClockPulseQ3Q2Q1Q0Initially000010001200103001140100501016011070111810009100110(recycles)0000Sec.8.2SynchronousCounterOperationCHAPTER8The74HC1634-BitSynchronousBinaryCounter
The74HC163isanexampleofanintegratedcircuit4-bitsynchronousbinarycounter.Sec.8.2SynchronousCounterOperationCHAPTER8The74HC1634-BitSynchronousBinaryCounterSec.8.2SynchronousCounterOperationCHAPTER8The74HC162SynchronousBCDDecadeCounterSec.8.2SynchronousCounterOperationCHAPTER8The74HC162SynchronousBCDDecadeCounterSec.8.3Up/DownSynchronousCountersCHAPTER8
Anup/downcounterisonethatiscapableofprogressingineitherdirectionthroughacertainsequence.Anup/downcounter,sometimescalledabidirectionalcounter,canhaveanyspecifiedsequenceofstates.Mostup/downcounterscanbereversedatanypointintheirsequence.Sec.8.3Up/DownSynchronousCountersCHAPTER8Sec.8.3Up/DownSynchronousCountersCHAPTER8
Abasic3-bitup/downsynchronouscounterSec.8.3Up/DownSynchronousCountersCHAPTER8
Abasic3-bitup/downsynchronouscounterSec.8.3Up/DownSynchronousCountersCHAPTER8
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