loadingABCD0011110100111000011110××××1100
×0F8(A,B,C,D)=CD+CD
第二章习题
2-1
a) Z1=AB+BC=B(A+C) 真值表:
A B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1F00010011
b) Z2=A+BC+D=ABCD 真值表：
A B C D0 0 0 00 0 0 10 0 1 00 0 1 10 1 0 00 1 0 10 1 1 00 1 1 1F10000000A B C D1 0 0 01 0 0 11 0 1 01 0 1 11 1 0 01 1 0 11 1 1 01 1 1 1F00000000
c) Z3=C+D+B+A?E真值表：
A B C D E 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 A B C D E 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1F01101010F10101010 A B C D E 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 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 A B C D E 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1F01010101F10101010C+D+B+AeE=(C+D)gB+AeE
2-2
a)表达式：Z=B+CACA?BC?AABC排(BC)A
真值表：
A B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1F11111000
b)表达式：
X=B排CAY=AB+BC+AC
真值表：
A B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1X01101001Y01110001
2-3
表达式：Z=ADBBCDADC=BCD 真值表：
A B C D0 0 0 00 0 0 10 0 1 00 0 1 10 1 0 00 1 0 10 1 1 00 1 1 1Z11011111A B C D1 0 0 01 0 0 11 0 1 01 0 1 11 1 0 01 1 0 11 1 1 01 1 1 1Z11011111 波形图： ABCDZ
2-4 1)
AB 2)
&1F
AB3)
?11F
ACBD4)
&?1F
&ABCD5)
?1&?1F
ABCD6)
1&&?11F
F6=(B+CD)AB+E=EB+(A+B)CDE
AB1&?1&FCDE1&?11
2-5
1) F=ABCD