(完整版)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

A B C DFA B C DF0 0 0 011 0 0 010 0 0 111 0 0 110 0 1 001 0 1 010 0 1 101 0 1 11ABCD000111100 1 0 001 1 0 010011000 1 0 101 1 0 110100100 1 1 001 1 1 011111110 1 1 111 1 1 11101111

（8）F8?ABD?BC?C?A?D??DA?C?BD?

1-10

标准与或式：

F?ABCD?ABCD?ABCD?ABCD?ABCD?ABCD?ABCD

标准或与式：

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数字电路答案

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? 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?

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数字电路答案

F???1,2,5,7,10,11,12,14?

1-14

(1)A+AB+BCD=A+B+BCD=A+B (2) AB+BC+A+C=A+B+C+B=1

(3) A+B+AB(C+D)=AB+AB(C+D)=A+B

AB+AC+BC+A?B(4)

=AB+AC+BC+AB+AB=AB+AB+(AC+AB)+BC

=A+A+BC=1BD+ABCD+A+B+C(5)

=BD+ABCD+ABC

=BD+AC(D+B)=BD+ACAB+(A+C)(D+A+B)+(C+D)E(6) =AB+AD+CD+ABC+CDE

=AB+AD+CD+BC+EC+ABCD+CD+(A+B)(CD+CD)(7) =C+AB(CD+CD)+AB(CD+CD)

=C+CD+CD=C+D(8) AB+BC+CA+AB=AB+BC+CA+A+B=A+C+B+C=1 1-15

（1）AB+BC+AC

BCA0001111000010

11111

AB+BC+AC=A+BC （2）ABC+BC+AD+CD

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数字电路答案

ABCD00011110000111010110110111100111

ABC+BC+AD+CD=BC+AC+D

3）ABC+ABCD+ABCD+AC

ABCD00011110001111010011110010100100ABC+ABCD+ABCD+AC=AB+AC+BCD+BCD4）B(C+AD)+AC(B+D)

ABCD00011110000000011111111101101100

B(C+AD)+AC(B+D)=AB+AC+BD

5）B(C?D)ACD+BCD+BCD

（

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数字电路答案

ABCD00011110000100010101110101100100

B(C?D)ACD+BCD+BCD=CD+BCD

6）ABC+BCD+AD+A(B+CD)

ABCD00011110001110011100111001100000

ABC+BCD+AD+A(B+CD)=ABD+ABD+AC7）ABC+CD+AC+BD+ACD

ABCD00011110001111011011111011101101

ABC+CD+AC+BD+ACD=AC+BC+BC+D

8）ACD+ABCD+AB(C+D)+D

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