4.58 利用卡诺图将下列函数化简为最小积之和形式。 解:先将所给函数填入卡诺图,再利用卡诺图进行化简 a) F=X'?Z+X?Y+X?Y'?Z
F=Z+X?Y
b) F=A'?C'?D+B'?C?D+A?C'?D+B?C?D
F=D
c) F=W'?X?Z'+W?X?Y?Z+W'?Z
F=W'?X+X?Y?Z+W'?Z
d) F=(W+Z')?(W'+Y'+Z')?(X+Y'+Z)
F=Y?Z+X?Z'+W?Y'
e) F=A'?B'?C'?D'+A'?C'?D+B?C'?D'+A?B?D+A?B'?C'
F=C'+A?B?D
4.18 利用卡诺图化简下列逻辑函数,得出最小积之和表达式,并在图中指出奇异“1”单元。 a) F=∑W,X,Y,Z(0,1,3,5,14)+d(8,15)
F=W'?X'?Y'+W'?X'?Z+W'?Y'?Z+W?X?Y
b) F=∑W,X,Y,Z(0,1,2,8,11)+d(3,9,15)
F=W'?X'+X'?Y'+X'?Z
c) F=∑A,B,C,D(4,6,7,9,13)+d(12)
F=A'?B?D'+A'?B?C+A?C'?D
d) F=∑A,B,C,D(1,5,12,13,14,15)+d(7,9)
F=A?B+C'?D
e) F=∑W,X,Y,Z(4,5,9,13,15)+d(0,1,7,11,12)