数字逻辑电路设计第二版答案 联系客服

数字逻辑电路设计第二版答案

【篇一:蒋立平版数字逻辑电路与系统设计习题答案】

1.1 将下列二进制数转换为等值的十进制数。 (1) (11011)2(2 (10010111)2 (3) (1101101)2 (4

(11111111)2 (5) (0.1001)2 (6 (0.0111)2 (7) (11.001)2 (8 (101011.11001)2

题1.1 解: (1) (11011)2 =(27)10 (10010111)2 =(151)10

(3) (1101101)2 =(109)10 (11111111)2 =(255)10 (5) (0.1001)2 =(0.5625)10 (0.0111)2 =(0.4375)10 (7) (11.001)2 =(3.125)10(101011.11001)2 =(43.78125)10

1.3 数。 (1) (1010111)2

(110111011)2 (3) (10110.011010)2

(4) (101100.110011)2 题1.3 解: (1) (1010111)2 =(57)16 =(127)8

(2) (110011010)2 =(19a)16 =(632)8 (3)

(10110.111010)2 =(16.e8)16 =((4) (101100.01100001)2 =(2c.61)16 =1.5 将下列十进制数表示为8421bcd码。

(1) (43)10(95.12)10 (3) (67.58)10 ( (932.1)10 题1.5 解:

(1) (43)10 =(01000011)8421bcd

(2) (95.12)10 =(10010101.00010010)8421bcd (3) (67.58)10 =(01100111.01011000)8421bcd (4) (932.1)10 =(1.7 将下列有符号的十进制数表示成补二进制数。 (1) +13 (2)?9(3)+3 (4)?题1.7解: (1) +13 =(01101)2 ((10111)2 (3) +3 =(00011)2 ((11000)2 1.9 用真值表证明下列各式相等。 (1) ?b?b?a?b (2) a (1) 证 明

ab?c?a?bc

?b?c???ab???ac? ?a?bc

(3) ab?c(4) ab? 题1.9解: 式。 (1)f ac?ab?ac

?ab?ac?bc?acd

(2)f?a?ac?a?cd?d? ??

(3)f

?bd?d?d?b?c?ad?b ?

(4)f(5)f(6)f ?abc?ad??b?c?d ?ac??b?a?c?

f?a,b,c,d???m?0,4,6,8,13???d?1,2,3,9,10,11? ( )

?a?bb?c1 f?ad?acd?b 5 )

题1.11解: (

f?a,b,c,d???m?0,1,8,10???d?2,3,4,5,11? (

f?ab?ac?bc?acd?a?bc (2)f?a?ac?a?cd?d??a?cd ??

f?bd?ab 6 或

f?bd?ac )

( ((

?a,b,c,d???m?3,5,8,9,10,12???d?0,1,2,13? f?bd?d?d?b?c?ad?b?d?ab? bc 3 ? )

45 ))

f?abc?ad??b?c?d?abc?d f?ac??b?a?c??ac? ( 6

)或

f?bd?ab?cd?ac 1.15将下列逻辑函数化简为或非—或非式。 (1)f

?abc?bc

(2)f??a?c?a?b?ca?b?c ? )

(3)f(

?abc?bcd?abd 4

f?a?bb?c?ab?bc?ac?ab?bc?ac f(a,b,c,d)??m?0,2,3,8,9,10,11,13? 题1.15解: (1)f

1.13 用卡诺图将下列逻辑函数化成最简与或表达式。 ??a?b?cd?abc?acd且 ab?cd?0

(2)f?ac?ab 且a,b,c不能同时为0 (1)f或同时为1 ( 3 )

?abc?bc 或

f?b?c?a?c?b?c f?b?c?b?c?a?b

(2)f??a?c?a?b?ca?b?c ?

f?b?c?a?c?a?b?c

(4)(3)f?a,b,c,d???m?0,1,8,9,10?

f?a,b,c,d???m?0,4,6,8,13???d?1,2,3,9,10,11? f?b?c?d?a?c ( 5

) ( 4

f?a,b,c???m?3,5,6,7???d?2,4? )

f?(a,b,c,d)??m?0,2,3,8,9,10,11,13?

f?a,b,c,d???m?0,1,8,10???d?2,3,4,5,11 6 ) (

f?a,b,c,d???m?3,5,8,9,10,12???d? 题1.13解:

f?a?c?d?b?c?b?d 第2章习题及解答 0,1,2,132.1判断图p2.1所示电路中各三极管的工作状态,并求 出基极和集电极的电流及电压。 ?

??a?b?cd?abc?acd且 ab?cd?0 f?b?ad?ac

(2)f??a 且a,b,c不能同时为0 (1)f或同时为1 ( 3 )

f?a,b,c???m?3,5,6,7???d?2,4? ( (a) )

图p2.1

题2.1 解: (b)

f?a?b 4

(a)三极管为放大状态;设vces ib

?0.3v有: 6?0.7

?0.106ma50

ic?0.106?50?5.3ma