(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

00001/0/0/1/0/1/00010/1/0/1/00100/1/0/1/00110/1/0/1/01000/1/0/1/01010/1/101110101001100001110110

（2）状态转换和驱动真值表： X Q3 Q2 Q1nnn Q0 nn?1n?1n?1n?1Q3 Q2 Q1 Q0 T3 T2 T1 T0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 × × × × × × × × × × × × × × × × 1 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 × × × × × × × × × × × × × × × × 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 × × × × × × × × × × × × × × × × 1 0 1 1 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 × × × × × × × × × × × × × × × × (3)卡诺图：

76

数字电路答案

XQnn3Q2Qnn1Q00000010110101101111011000000×01×010100×00×001101×10×001000×00×00

T?XQnnQnnnn32Q10?XQ3Qn1Q0?XQ2Qn1Qn0

XQnn3Q2Qnn1Q00000010110101101111011000000×01×100100×00×001111×00×001000×00×00

TnQnnnnnn2?XQ31Q0?XQ3Qnn1Q0?XQ2Q1Q0

XQnQn32Qnn1Q00000010110101101111011000000×01×110111×10×001111×10×001000×01×11

Tn1?XQ0?XQn0

XQnQn32Qnn1Q00000010110101101111011000011×11×110111×11×111111×11×111011×11×11

T0?1

4）电路图：

77

（ 数字电路答案

X&&&&&&&&&&&&1T0Q0CP0Q0CPT1Q1CP1Q1T2Q2CP2Q2T3Q3CP3Q3

5-3

（1）状态图：X为控制变量 X＝0时的状态图：

00000001X＝1时的状态图：

101000101001001110000100011101010110

0000110100000001000011001011101010011000011100100011010001010110

（2）状态转换及真值表：

Q3Q2 Q1Q0 X nnnnQ3n?1Q2n?1Q1n?1J3 K3 J2 K2 J1 K1 J0 K0 n?1Q0 0 0 0 0

0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 × 0 × 1 × 0 × 0 × 0 × 0 × × 1 0 × 0 × × 1 1 × 0 × 0 × × 0 × 1 78

数字电路答案

0 0 1 0 0 0 0 1 1 0 × × 1 1 × 1 × 0 0 1 0 1 0 1 0 0 0 × × 0 0 × × 1 0 0 1 1 0 0 1 0 1 0 × × 0 × 1 1 × 0 0 1 1 1 0 1 1 0 0 × × 0 × 0 × 1 0 1 0 0 0 0 1 1 1 × 1 1 × 1 × 1 × 0 1 0 0 1 1 0 0 0 × 0 0 × × 0 × 1 0 1 0 1 0 1 0 0 1 × 0 0 × × 1 1 × 0 1 0 1 1 × × × × × × × × × × × × 0 1 1 0 0 × × × × × × × × × × × × 0 1 1 0 1 × × × × × × × × × × × × 0 1 1 1 0 × × × × × × × × × × × × 0 1 1 1 1 × × × × × × × × × × × × 1 0 0 0 0 1 1 1 0 1 × 1 × 1 × 0 × 1 0 0 0 1 0 0 0 0 0 × 0 × 0 × × 1 1 0 0 1 0 0 0 0 1 0 × 0 × × 1 1 × 1 0 0 1 1 0 0 1 0 0 × 0 × × 0 × 1 1 0 1 0 0 0 0 1 1 0 × × 1 1 × 1 × 1 0 1 0 1 0 1 0 0 0 × × 0 0 × × 1 1 0 1 1 0 0 1 0 1 0 × × 0 × 1 1 × 1 0 1 1 1 0 1 1 0 0 × × 0 × 0 × 1 1 1 0 0 0 0 1 1 1 × 1 1 × 1 × 1 × 1 1 0 0 1 1 0 0 0 × 0 × 0 0 × × 1 1 1 0 1 0 1 0 0 1 × 0 × 0 × 1 1 × 1 1 0 1 1 1 0 1 0 × 0 × 0 × 0 × 1 1 1 1 0 0 1 0 1 1 × 0 × 1 1 × 1 × 1 1 1 0 1 1 1 0 0 × 0 × 0 0 × × 1 1 1 1 1 0 × × × × × × × × × × × × 1 1 1 1 1 × × × × × × × × × × × ×

(3)卡诺图： X＝0时：

Qnnnn3Q2Qnn3Q2Qnn1Q000011110Q3QQnn2001Q000011110Qnn10××00×××11Q000011110000××10100××01×××0010××01100××11××××110×××1000××10×××0100××0

J?Qnnn32Q1Q0 Knn3?Q1Q0 Jnnn2?Q3Q1Q0

79

数字电路答案

nnnnQ3Q2nn00Q1Q0011110Q3Q2nn00Q1Q0011110

Qnn3Q2Qnn1Q00001111000××××01×××01100××1011×1 Knn2?Q1Q0 Qnn3Q2Qnn1Q0000111100001×101××××11××××1011×1 J?Qn?Qn012?Qn3

X=1时:

Qnn3Q2Qnn1Q0000111100010××0100××1100××1000××J?Qnnn32Q1Q0 00×1××01×0××11×0××10×0×× Jn1?Q0 Qnn3Q2Qnn1Q00001111000××××0111×11111××10×××× K0?1

Qn3QnQnn21Q00001111000××0101××0011×××010×××0 Kn3?Q2Qnn1Q0 0011×10100××11××××10×××× Kn1?Q0

Qnn3QQnQn21000011110001××1010×××110×××100××× Jnn2?Q1Q0

80