数字电路答案数字电路答案第一章习题1-1(1)(2)(3)(4)1-2(1)(2)1数字电路答案(3)(4)47.58=4∗81+7∗80+5∗8−1=39.625101-3(1)(2)11110102=0111⏟71010⏟A=7A16(3)(4)1-42数字电路答案(1)(2)(3)(4)1-5(1)A(B+C)=AB+ACABC左式右式0000000100010000110010000101111101111111左式=右式,得证。(2)A+BC=(A+B)(A+C)ABC左式右式00000001003数字电路答案010000111110011101111101111111左式=右式,得证。(3)A+B=¯A¯BAB左式右式0011010010001100左式=右式,得证。(4)AB=¯A+¯BAB左式右式0011011110111100左式=右式,得证。(5)A+BC+¯ABC=1ABC左式右式0001100111010110111110011101111101111111左式=右式,得证。(6)A¯B+¯AB=AB+¯A¯BAB左式右式0000011110111100左式=右式,得证。4数字电路答案(7)A⊕B=A⊕¯BAB左式右式0000011110111100左式=右式,得证。(8)A¯B+B¯C+C¯A=¯AB+¯BC+¯CAABC左式右式0000000111010110111110011101111101111100左式=右式,得证。1-6(1)(2)证:A+B¯A+CD=A+¯¯ACD=A+ACD=A(1+CD)=A(3)(4)(5)(6)5数字电路答案证:(7)证:原式=A¯B¯D+¯A¯BC¯D+¯B¯CD+¯AD+A¯BC+¯A¯BC¯D(再加一次最后一项)(8)A⊕B+B⊕C+C⊕D=A¯B+B¯C+C¯D+D¯A证:原式=A¯B+¯AB+B¯C+¯BC+C¯D+¯CD=A¯B+¯BC+¯CD+¯AB+B¯C+C¯D+A¯D+¯DA=A¯B+B¯C+C¯D+D¯A+¯AB+¯BC+¯CD+A¯D=A¯B+B¯C+C¯D+D¯A+A¯B+B¯C+C¯D+D¯A=A¯B+B¯C+C¯D+D¯A1-7(1)¯F1=(¯A+B+¯C)(A+¯B+C)(2)¯F2=(¯A+B¯C)(C+¯B¯D)(3)6数字电路答案¯F3=A¯B+¯CD(4)¯F4=(A+¯B)(¯C+D)+¯B(¯A+D)(5)¯F5=(¯A+B)(A+¯C+¯B¯D)(6)¯F6=¯A(¯B+C)B¯C+¯D(7)¯F7=(¯A+C)(¯B+¯D)+C¯A¯B+¯D(8)¯F8=¯AD+B¯C¯A¯C¯B+(¯A+¯B)(¯C+¯D)1-8(1)(2)(3)(4)(5)7数字电路答案(6)(7)(8)1-9(1)(2)8数字电路答案(3)(4)9数字电路答案(5)(6)10数字电路答案(7)(8)F8=¯AB¯D+¯BC+¯C(A+D)+¯DA(C+BD)11数字电路答案1-10标准与或式:F=¯A¯B¯CD+¯A¯BC¯D+¯AB¯C¯D+¯ABCD+A¯B¯C¯D+A¯BC¯D+ABC{¯D¿标准或与式:F=(A+B+C+D)(A+B+¯C+D)(A+¯B+C+¯D)(A+¯B+¯C+D)(¯A+B+C+¯D)(¯A+B+¯C+¯D)(¯A+¯B+C+D)(¯A+¯B+C+¯D)(¯A+¯B+¯C+D)1-11(1)F1=∑(0,2,4,5,6,7)(2)F2=∑(0,2,3,4,5,12,13,15)(3)F3=∑(0,1,2,4,5)(4)F4=∑(2,4,5,6,7,14,15)(5)F5=∑(0,3,4,5,6)(6)F6=∑(0,1,3,4,5,8,10,11,12,13,14,15)(7)F7=∑(0,2,5,6)(8)F8=∑(1,4,5,7,11,14)12数字电路答案1-12(1)F1=∏(0,7)(2)F2=∏(2,3,5,6,7,13,15)(3)F3=∏(6,7,11,14,15)(4)F4=∏(0,1,2,3,4,6,7,10,12,14)(5)F5=∏(3,4,5,7)(6)F6=∏(0,1,5,8,9,10,11,13)(7)F7=∏(2,3,5,7)(8)F8=∏(0,2,4,7,9,12,15)1-13(a)F=∑(1,3,6,10,11,12)F=∏(0,2,4,5,7,8,9,13,14,15)(b)F=∑(0,3,4,6,8,9,13,15)F=∏(1,2,5,7,10,11,12,14)1-14(1)(2)(3)(4)13数字电路答案(5)(6)(7)(8)1-15(1)(2)14数字电路答案(3)(4)(5)(6)15数字电路答案(7)(8)1-16(1)16数字电路答案(2)(3)(4)17数字电路答案(5)(6)(7)18数字电路答案(8)1-17(1)(2)19数字电路答案(3)(4)(5)20数字电路答案(6)(7)(8)21数字电路答案1-18(1)约束条件(2)约束条件22数字电路答案(3)约束条件(4)约束条件(5)约束条件(6)约束条件23数字电路答案1-19(1)(2)(3)24数字电路答案(4)(5)(6)25数字电路答案(7)(8)26数字电路答案第二章习题2-1a)真值表:b)真值表:c)真值表:27数字电路答案2-2a)表达式:真值表:b)表达式:28数字电路答案真值表:2-3表达式:真值表:波形图:29数字电路答案2-41)2)3)4)5)6)30数字电路答案2-51)2)3)31数字电路答案4)5)6)32数字电路答案2-61)2)3)33数字电路答案4)5)6)34数字电路答案2-7(1)卡诺图及表达式:(2)电路图:2-8(1)真值表:35数字电路答案(2)卡诺图及表达式:(3)电路图:36数字电路答案2-9(1)真值表:(2)卡诺图及表达式:37数字电...