数字电路与逻辑设计课后习题答案蔡良伟第三版

数字电路答案1数字电路答案第一章习题11（1）101082862102166（2）010885845210542166C（3）10108585822162D（4）0110836583520381021683A12（1）285010162D1084（2）28345016E2108034529数字电路答案2（3）285141001630128101457（4）287441620A011825398554713（1）108164201216E（2）08107782011672A（3）1028106585384967013021631AC（4）012810126786784893752011074216565F14（1）1620120A852108124数字电路答案3（2）16201201BF8754543210810547863（3）16201DE28732310181037875（4）16201099CFF287736236101810732884597215（1）ACBAABC左式右式0000000100010000110010000101111101111111左式右式，得证。（2）CABAABC左式右式0000000100010000111110011101111101111111左式右式，得证。数字电路答案4（3）BAAB左式右式0011010010001100左式右式，得证。（4）BAAB左式右式0011011110111100左式右式，得证。（5）BCAABC左式右式0001100111010110111110011101111101111111左式右式，得证。（6）BABAAB左式右式0000011110111100左式右式，得证。（7）BAAB左式右式0000011110111100左式右式，得证。数字电路答案5（8）ACBACBABC左式右式0000000111010110111110011101111101111100左式右式，得证。16（1）AB1AB证（2）CD证ACDA（3）ABABCB证（4）DEACABDEABC证（5）ABAB证（6）ABCC证C（7）DABDAB证原式再加一次最后一项DCBDAAB数字电路答案6BDACDAABDCB（8）ADC证原式CBADABADCCBA17（1）FCBA（2）DCF（3）ABD（4）FCABA（5）DCF（6）AB数字电路答案7DCBAF6（7）A（8）FADBCBCD18（1）FABCD（2）（3）FABDC（4）FABCDABC（5）（6）FBCDABC（7）FBCADA（8）BCDBAC数字电路答案819（1）FABCABCABCF00010101100111011111000BCA0110110010（2）FABCDBCF00100100110011ABCDF100110011011011100CDAB00110001110001111111111（3）FABCD数字电路答案9ABCDF00100100110011ABCDF10011001101101001CDAB00110011100111111000（4）FABCABCBCF00100101101111100BCA0110101（5）FBDCA数字电路答案10ABCDF00100100110011ABCDF1001100110110111000CDAB011001110001110（6）FABCDACBDABCDF00100100110011ABCDF10011001101101000CDAB0110011100000000（7）FABCD数字电路答案11ABCDF00001010010100101010011ABCDF1001011010101101011101100111111CDAB0011000111001100011111111（8）BDCACBDAF110标准与或式DABCCBADCBADCBAF标准或与式数字电路答案12DCBADCBABAF11117,6542,01F2133,34547624F5,0561,32,18367,27F845811217,01215,362F34,34,207,0455,5F613,98677,2785408F113A12,6,35,498750B,4,F数字电路答案1314,20,751F1141ABCDABAB21C3D41ABCABC5BDABC6CDEABDAB7CCDD81ABABABC115（1）CAB01011011BCAB（2）D数字电路答案14CDAB0011001110101010111ABCDBCAD（3）CDAB0011001101101000ABCDABCABCD（4）CDAB0011001101011100BCADBACBD（5）数字电路答案15CDAB001100110111110000BCDABCDBC（6）CDAB0011001100110000ABCDABCDABC（7）111CDAB000101100ABCDBACDBCD（8）数字电路答案16011CDAB01100011ACDBACDABCD116（1）,0,1345,9,1FM1CDAB0110010111001,FABCDABCDA（2）,2,36891,5M1CDAB010011010002,FABCDABDC（3）,0,2468,135M数字电路答案17CDAB011001101110003,FABCDABD（4）,0,1235,790,1MCDAB011001101110004,FABCDBDCA（5）,1,3789,04MCDAB011001101110005,FABCDBACD（6）,3,4781,25M数字电路答案18CDAB01100110111100006,FABCDABC（7）,2,5610,34MCDAB01100110110007,FABCDBACD（8）,1,2367,415MCDAB01100110111008,FABCDABC117（1）,0,237M数字电路答案19BCA011011001,FABCA（2）0,178,23DMCDAB011001110111000002,FABCDCABCDABD（3）1,2378,914MCDAB0110011011003,FABCDABDCADBC（4）,0,2578,135M数字电路答案20CDAB0110011101110000004,FABCDB（5）,1,2567,0314MCDAB0110011101110000005,FABCDACDBABD（6）,0,4691,25MCDAB011001101100006,FABCDBCDABDABCD（7）,2,3410,5M数字电路答案21CDAB0110011101111000007,FABCDCDBACBD（8）,0,3568,125MCDAB01100111011110000008,FABCDACDBACDB118（1）约束条件FAA0ABCDAB011001110100001FBD数字电路答案22（2）约束条件FABDC0ABCCDAB0110011101100002FBD（3）约束条件CABD0BCDCDAB01100111011003FBDA（4）约束条件CABD0BDCDAB0110011100004FBCAD（5）约束条件BCAD0ABCD数字电路答案231CDAB000110105FDBCA（6）约束条件0,126DCDAB0110011101111006FBCD119（1）,0,135,2,491,AMDCDAB0110011101111001,FABCDAC（2）,0,1578,43,915MD数字电路答案24CDAB011001110111100002,FABCDACDB（3）,2,6910,30,1458,MDCDAB011001110111100003,FABCDAB（4）,1,37,5,9102,45MDCDAB011001110111004,FABCD（5）,2,4671,50,1389,MD数字电路答案25CDAB0110011101100005,FABCDAD（6）,2,3610,40,1492,3MDCDAB011001110111006,FABCDB（7）,3,56710,1248,5MDCDAB0110011101110007,FABCD（8）,0,481,252,3671MD数字电路答案26CDAB01100111011000008,FABCD第二章习题21A1ZABC真值表ABCF00100101101100101B2ZABCD真值表数字电路答案27ABCDF00100100110011ABCDF1001100110110100000C3ZCDBAECDBAECDBAE真值表ABCDEF0001000100110011ABCDEF010010100101010101011ABCDEF1001100110111011ABCDEF1001100110011100111101010022A表达式ZBCAABCA数字电路答案28真值表ABCF00100101101111100B表达式XBCAY真值表ABCX001001011011010101Y23表达式ZADBCD真值表数字电路答案29ABCDZ00100100110011ABCDZ10011001101101110111110波形图ABCDZ241F1AB2F1AB13数字电路答案30FACBD14FAB1CD15F1AB1CD166FBAEBACDEF1AB1CD11E1251FABCD数字电路答案31F1ABCD1112FABCF1ABCD13FACBF1ABCD1114FACB数字电路答案32F1ACBD1115FABCF1ABC1116FABF1BAC111261FABDFABCD1111111数字电路答案332FADBCFABCD11111113FABDCADFABCD11111111114FABCDF1AB111CD111115FABCA数字电路答案34F1ABC11111116FABDF1AB111CD11127（1）卡诺图及表达式CDAB00011110000111100111111110000000FABCDABABCDAB（2）电路图数字电路答案35ZABCD28（1）真值表S21S0S21S0ABFABF00000101010100110011001100110011001100110100101010101011011011110101110（2）卡诺图及表达式数字电路答案361020212010102110FSABSBASBASB（3）电路图S2S1S0ABF29（1）真值表ABS210010100011101010101111110000000001110111数字电路答案37ABCDF00000001001000110100010101100111ABCDF100010011010101111001101111011111111100000010011（2）卡诺图及表达式CDAB00011110000111101111111100000000FBCDABCD（3）电路图FABCD12101真值表数字电路答案38ABCZ00000101001110010111011111010001（2）卡诺图及表达式BCA000111100111110000得ZABC（3）电路图ZABC2111真值表数字电路答案39F00000001001000110100010101100111F100010011010101111001101111011111011000010000000A1A0B1B0A1A0B1B0卡诺图及表达式0110011011000A1B10101010FABAB电路图数字电路答案40A1B1A0B0F（2）真值表A1A0B1B0F00000001001000110100010101100111F100010011010101111001101111011111011000010000000A1A0B1B0卡诺图及表达式数字电路答案4100011110000111101111000000000000A1A0B1B010101010FABAB电路图A1B1A0B0F（3）真值表数字电路答案42A1A0B1B0F00000001001000110100010101100111F10001001101010111100110111101111111000000000A1A0B1B00010卡诺图及表达式1000111100001111011100000000000A1A0B1B000FAB电路图FA0B0（4）真值表数字电路答案43A1A0B1B0F00000001001000110100010101100111F100010011010101111001101111011111000100A1A0B1B0000100100卡诺图及表达式1000111100001111011100000000000A1A0B1B000FAB电路图FA0B0（5）真值表数字电路答案44A1A0B1B0F00000001001000110100010101100111F100010011010101111001101111011111111010A1A0B1B0001000011卡诺图及表达式1100011110000111101110000000A1A0B1B01110000FABAB电路图FA0B0212（1）真值表S1S2Z000011111100（2）卡诺图及表达式01S1210数字电路答案4512ZS（3）电路图ZS2S1213（1）真值表T32T10X0010100110011X1001100110110100100100T32T10Y00Y111（2）卡诺图及表达式T3T20001111000011110T1T01111100000000000T3T20001111000011110T1T01111100000000000X的卡诺图Y的卡诺图31032T3102T数字电路答案463210YT3210T（3）电路图XT0T1T2T3Y21411FABC当时存在0型冒险,更改设计为12）FBDAC当时存在0型冒险,更改设计为23）FACBD当存在0型冒险。,1更改设计为34）FABCD当存在0型冒险。,1数字电路答案47更改设计为4FABCDAB5）当或存在0型冒险。1,0,0,1CD更改设计为5FBDAC6）当或存在0型冒险。0,0,1CD更改设计为6FABA7）CD当或存在0型冒险。0,1A0,1CD更改设计为7FBAB215A1ZADCD当时存在0型冒险。,0,1当存在1型冒险当时，存在1型冒险,BB2ZACBDACBCDAC当时，存在1型冒险1,0D当时，存在1型冒险B当时，存在1冒险,AC第三章习题31数字电路答案48（A）、的值分别为0、0、0、1、1EXY21YS（B）、的值分别为0、0、1、1、132（1）设计真值表9I8765I4321I03Y21001001101000110011111100110111100101111110010011111100011111111100010111111110000111111111100000（2）电路图I0I7I4I9STI86531I2Y3Y2Y01Y01Y274811133（1）0111（2）0110（3）0111（4）0110（5）0110（6）011034（1）,FABC数字电路答案49124ENBIN/OCT10234567CBA100F（2）,FABCA124ENBIN/OCT10234567CBA100F（3）,FABC124ENBIN/OCT10234567CBA100F（4）,FABCBC124ENBIN/OCT10234567CBA100F（5）,0,36FABCM数字电路答案50124ENBIN/OCT10234567CBA100F（6）,1,2FABCM124ENBIN/OCT10234567CBA100F（7）,0,145FABCM124ENBIN/OCT10234567CBA100F（8）,0,2356FABCM124ENBIN/OCT10234567CBA100F35（1）,FABCDBCDA数字电路答案5112410234567ENBIN/OCTFCBA1124ENBIN/OCT1D981021345（2）,FABCDBACD12410234567ENIN/OCTF1124ENBIN/OCT1981021345ABCD（3）,FABCDCBD数字电路答案5212410234567ENBIN/OCTFCBA1124ENBIN/OCT1D981021345（4）,0,6,124FABCDM12410234567ENIN/OCTFCBA1124ENBIN/OCT1D981021345（5）,2,789,135FABCDM数字电路答案5312410234567ENBIN/OCTFCBA1124ENBIN/OCT1D981021345（6）,68,0123,5FABCDM12410234567ENIN/OCTFCBA1124ENBIN/OCT1D9810213453603210121320423105621307832109YAYAYA数字电路答案5437123FDCBABADCBADBCABCDF1F2F338A10B10C0S0COS1C13912FABDC数字电路答案55310求减数的补码，然后与被减数相加即可。电路图如下C4A3210B321B0C0S32S101115V748X32X10Y321Y0Z32Z10Z4311A01A23B01B23ABAB312（1）数字电路答案56EN0201234567G07MUXBA51,FABAB1F（2）BA5EN0201234567G07MUXC2,FABCABCA2F（3）BA5EN0201234567G7MUXC3,FABCABCA3F（4）数字电路答案57BA5EN0201234567G07MUXC4,FABCABCB4F（5）ABCDF00100100110011ABCDF1001100110110111110000BAEN0201234567G07MUXCD55,FABCABDC5（6）数字电路答案58EN0201234567G07MUXBAC56,0,35,6FABCM6F（7）EN0201234567G07MUXBAC57,1,36,7FABCM7F（8）ABCDF00100100110011ABCDF10011001101101001111000数字电路答案59EN0201234567G7MUXBACD558,3,45,10,3FABCDM83131真值表CIABF001001011011110CO00（2）电路图EN0201234567G7MUXEN0201234567G7MUXBACI55COF数字电路答案603140123YABDABDABCD315A01A2SD01D23D45D67Y第四章习题41SRQ42数字电路答案61SRQ43SRQCP44DQCP45SRQCP46数字电路答案62SRQCPDSR47JKQCP48JKQCPDSR49CPQT410RSDRSJKRST数字电路答案6311S1RCQCPD1S1RCQCPKJ1S1RCQQCPT4111转换真值表TRSTJK001001011011SNQR1NT001101001001011011KNQJ1NT01010101NTSQRNTJQKTD数字电路答案64NQ1NQT01010D0011NTDQ2转换电路图1TC1CPQQ1RS1TC1CPQQ1KJ1TC1CPQQ1D412（1）100,NNQDCP（2）11,NJAQCP（3）22NNT（4）133,NQD（5）44NNJKQCP（6）1555,NNNAQCP数字电路答案65ACP0Q01Q12Q23Q34Q45Q54131列写方程时钟方程012CPCP驱动方程0JK01NQ012NJ特性方程NN状态方程1001011122202NNNNQQA（2）状态转换表数字电路答案660001010011010110111100010100110101102NQ1N0NQ12NQ1N10NQ（3）状态图01101010010101210Q4141列写方程时钟方程012CPCP驱动方程特性方程1NNQT状态方程0201122NN2状态转换表201,N数字电路答案67001001011011001011010102NQ1N0NQ12NQ1N10NQ3状态图01101010010101210Q415（1）列写方程时钟方程0121CPQ驱动方程012T状态方程1021,NNP（2）状态转换表数字电路答案68001001011011011001011001102NQ1N0NQ12NQ1N10NQCP01CP2（3）状态图00110110100101210Q4161列写方程时钟方程0120CPQ驱动方程1221NJK状态方程012210,NNNNCPQQ2状态转换表数字电路答案6900100101101101001011011002NQ1N0NQ12NQ1N10NQCP01CP2（3）状态图10101010101010210Q4171状态转换表00100101101101001011002NQ1N0NQ12NQ1N10NQ2J2K1J1K0J0K1101111000000（2）卡诺图及驱动方程数字电路答案70111001102NQ1N1011011NQ011011NQ10012NQ1N1002NQ1N10012NQ1N210NJQ21NKQ10NJQ1021NNKQ012NNJQ01K0022（3）电路图PC0PC1PC2QQQJJJKKK1PC418（1）时钟方程012CP（2）状态转换表数字电路答案7100010100110101101101010011011001012NQ1N0NQ12NQ1N10NQ2D10D00101001101011010（3）卡诺图及驱动方程10110001010101012NQ1N2NQ2NQ122010NNDQQ1012210212010NNNNNNDQQQ00NDQ1100010101N1N（4）电路图D0D1D2PC0PC1PC2Q0Q1Q2PC419（1）时序图与时钟方程数字电路答案72CPQ01Q212CP（2）状态转换表00100101101101001011002NQ1N0NQ12NQ1N10NQ2J2K1J1K0J0K11011110002CP10CP（3）卡诺图及驱动方程10001110110100110110110101001100110NJQ2NQ1N121J2K120NNKQ020NNJQ1NQ1NQ1NQ1NQ1NQ222N22N01K（4）电路图数字电路答案73PC0PC1PC2QQQ2JJJKKK1CP420（1）时序图与时钟方程CPQ01Q2120CP（2）状态转换表0000010100111001011101110010100111001110001012NQ1N0NQ12NQ1N10NQ2D10D0010101101010110CP01CP2（3）卡诺图及驱动方程数字电路答案741011001010101012NQ1N2NQ2NQ121NDQ1012210212010NNNNNNDQQQ00NDQ100101N1N1（4）电路图D0D1D2PC0PC1PC2Q0QQ2PC第五章习题51（1）时序图000001010011100101110（2）状态转换和驱动真值表QN21N0Q12N10D2D1D0000001010011100101110111001010011100101110000001010011100101110000数字电路答案753卡诺图QN12000011110010001110，21021NND21021NNDQQN000011110010001110，10210NND10210NNDQ0001111001Q2N1101000，02010NNDQ201NNDQ（4）电路图D0D1D2PCPCPCQQQ52（1）时序图数字电路答案760000000100100011010010011010101101010110100001110/0/0/0/0/0/0/0/0/0/1/1/1/1/1/1/1/1/1/1/1/0/0/1/（2）状态转换和驱动真值表XQN32N10Q1N321N0T3T2T1T000000000000000001111111111111111000000010010001101000101011001111000100110101011110011011110111100000001001000110100010101100111100010011010101111001101111011110001001000110100010101100111100010011010101100001011000000010010001101000101011001111000100110100001001100010111000100110001111100010011000110111011000100110001011100010011000111110001001100013卡诺图数字电路答案77010101010110QXN23N010010100032131210NNNTXQXQ010101010110QXN23N01010000023131210NNNTXQXQ010101010110QXN23N0110000111NTXQ010101010110QXN23N0111111T（4）电路图数字电路答案78T0T1T2T3PCPCPCPCQ0Q1Q2Q30123X1PC53（1）状态图X为控制变量X0时的状态图00000001001000110100010101100111100010011010X1时的状态图0000000100100011010001010110011110001001101000000000111111011（2）状态转换及真值表XQN321N013QN21J3K3J2K2J1K1J0K0000000000010010101000000001101000010011数字电路答案790000000000000001101000101011001111000100110101011110011011110111100100011010001010110011110001001000101110001001100011111000100111111111111111111000000010010001101000101011001111000100110101011110011011110111111100000000100100011010001010110011110001001101010111100111000010011000101110001001100011111000100110001011100013卡诺图X0时0001111000011110QN231000000001100110QN23N010001100110QN23N01003210NJQ310NKQ2310NJQ数字电路答案800001111000011110QN2310000001111000011110QN23101010001111000011110QN23001011210NKQ10NJQ10NKQ0001111000011110N230111110001111000011110N23111110123NNJQ0KX1时0001111000011110N23000100000001111000011110QN231000000001111000011110QN23100013210NJQ321NKQ210NJQ数字电路答案810001111000011110QN230001000100001111000011110QN23101100100001111000011110QN23010101210NKQ10NJQ10NKQ0001111000011110N2310111110001111000011110N2311111110123NNJQ0K那么，有3210N21010210210NNNNNKXXQQ2310310NJQ10NJKQ0123123NNNJQ（4）电路图数字电路答案82PC0PC1PC2PC3QQQQJJJJKKKKX154（1）时序图000001010011100101110CPQ2Q1Q0可见，0CP1CP21Q2状态转换图及真值表N21N012N10D2D1D0CPCP0CP1CP20000010100111001011101110010100111001011100000110111000110000数字电路答案833卡诺图0001111001QN211010000001111001QN210001010001111001QN2012NND210NND20ND（4）电路图D0D1D2PC0PC1PCQQQ2012PC55（1）时序图000000010010001101000101011001111000100110101011CPQ3Q2Q1Q0可见，0CP10Q21CP31Q（