20152016學(xué)期期中課程名稱：數(shù)字邏輯設(shè)計及應(yīng)用考試形式：閉卷考試日期：2016年11月07日考試時長：120分鐘課程成績構(gòu)成：平時30/20 %，期中30/20 %，小班討論 %，期末40 本試卷試題由 部分構(gòu)成，共 頁IVPleasefilloutthecorrectanswersinthebrackets )” (3’X15=45’1.[3321]5=)2=)2.(37.8)10=0011)2421([-128]10)’s16-bitsigned-magnituderepresentationis( 1000000010000000 ),andits8-bittwo’scomplementrepresentationis( Considerthestringofbits(101001110)2,itrepresents( )10assumingunsignedbinarynumbers.Ifitassumessignednumbers,itrepresents( )10assuming2’scomplementbinarynumbers.Ifnumber[A]two’s-complement=10111001and[B]two’s-complement=11010101,calculate[A-B]two’s-complementandindicatewhetherornotoverflowoccurs. TheunusedCMOSNORgateinputsshouldbetiedtologic 0 or地IfF=∏ABCD(1,6,8,9,10,13)，thenitscomplementfunctionexpressionisF’=∑ABCD Thebinarynumbercodeis(11100101)2,thenitscorrespondingGraycodeis IfFBA(CDE)，thenitsdualexpressionFD B(A(C(DE IfVOLmax=0.1V,VOHmin=4.4 VILmax=1.35 VIHmin=3.15Vfor74HCseries,thenDCmarginisVNL= )V,VNH= Choosetheonlyonecorrectanswerandfilltheitemnumberinthebrackets.(2’10=20Whichofthesefourgatesisthefastest? ToImplementthisfunctionF=(A’B(D’+C’D)+B(A+A’CD))’(A’B(C+D)’),howmanyANDgatesatleastweshoulduse?( A) IfwewanttouseanXORgateasanInverter(NOTgate),thentheinputsofAandBshouldconnectasthe ).oneoftheAandBconnecttooneoftheAandBconnecttoAandBconnectcan’tTheoutputsignalof )circuitis1-out-of-MABinary Binary D5．ACMOScircuitisshownasFig1，its’logicfunctionF ).(positiveFigThefollowinglogicexpressions,thehazard-freeoneis( AF=B’C’+AC+A’B Apriorityencoder74LS148’sinputis:I0-L,I1-L,I2-L,I3-L,I4-L,I5-L,I6-L,I7-L，outputisY2-L,Y1-L,Y0-L.Theinputsandoutputareallactive-low.Whenactive-lowenableinputS_L=0,andI2-L=I3-L=I4-L=I5-L=0,thenY2-L,Y1-L,Y0-Lis( A ThetruthtableofacircuitisshowninTable2,thelogicexpressionofthiscircuitis B. C.D.SABF00000010010101111000101111001111Inonenumbersystem,ifanarithmeticoperation302/20=12.1iscorrect,itsradixis A. B. D.Ifthecanonicalsumforann-inputlogicfunctionisalsoaminimalsum,howmanyliteralsareineachproducttermofthesum?( cannotbeGivenF(W,X,Y,Z)=(W+X+Y’)?(W+X’+Z)?(W’+X+Z’).AssumetheinputvariablesWXYZwillneverbe0000,0001,1101and1010.SimplifythelogicfunctionF(W,X,Y,Z)intotheminimalsum-of-productsexpressionusingKarnaughmap,andwriteoutNAND-NANDlogicexpressionoftheminimalsum-of-products.F53“與非-2

WX d0d011d1d00110001dto

Acombinationalcircuitisshownasbelow.AssumepropagationdelayforeachgateisequalWhenA=C=D=1,Bchangefrom0to1orfrom1to0,drawthetimingdiagramforY1,Y2andAnalyzetheconditionsthatthestatichazardmayexit,andwriteoutthesum-of-productexpressionforthe Y(A,B,C,D)=A?B+②判定冒險條件正確得4分： 當(dāng)A=C=D=1時，F(xiàn)=B+B'（或B變化，存在靜態(tài)1冒險若填卡諾圖正確，但判定靜態(tài)冒險條件不正確，可得2分：AB 111111111Yhaza