《DigitalLogic》PagePAGE2ofNUMPAGES2pages
DigitalLogicFinaltermExam
(Closed-bookExamDuration:120minutes)
Ⅰ.ChoiceQuestion(5items,10points，2pointsforeachquestion)
Thelargestdecimalnumberofthefollowingfournumbersis().
A.(24)10B.(24)8C.8421D.(10010)2
ThelogicalnotationforXORis().
A.B.
C.D.
3.Usingtheencodertoencode19signals,theoutputbinarycodenumberis（）.
A.2-bitB.4-bit
C.5-bitD.6-bit
4.Theresultofcanberepresentedby().
A．B．C．D．
5.Thesimplestresultofusingformulamethodis（）.
A.1B．C．D．0
II.Fillintheblanks(5items,10points，2pointsforeachblank)
1.,thecorrespondingstandardminimumitem（）.
2.A⊙A⊙A=（）.
3.,writetheinversefunction=.Thedualfunction=.
4.Theproductofanytwodifferentminimumtermsismimj=.
III.Analysisandproofquestions(5items,45points)
1.Simplifythefollowingfunctionsbyusingthekarnaughmapmethod.(5points)
2.Provebytheformulamethod.(10points)
3.AnalysisthecircuitfunctionshownintheFigureIII.3anddrawthevoltagewaveformofterminalQ.Theinitialstateofthetriggeris0.(10points)
FigureIII.3
4.Analysisthe?countercircuitand?liststatetransitiontable.(10points)
FigureIII.4
5.Analyzethelogicfunctionofthesequentialcircuit,writedownthedrivingequation,stateequationandoutputequationofthecircuit,listthestatetransitiontableofthecircuit,andexplainwhetherthecircuitcanstartitself.(10points)
FigureIII.5
IV.Designquestions(2items,35points)
1.UseDflip-flop,ANDGateandORGatetorealizeasynchronouscounterwithconversion
relationshipasshownintheFigureIV.