数电:用公式化简法化简逻辑函数 F=AB+A非C+

2025-04-16 12:25:15
推荐回答(1个)
回答(1):

F=AB+A'C+B'C=AB+(A'+B')C=AB+(AB)'C=AB+C

F=(A+B')(B+C')(C+D')(D+A')

=A(B+C')(C+D')(D+A')+B'(B+C')(C+D')(D+A')
=(AB+AC')(C+D')(D+A')+B'C'(C+D')(D+A')
=AB(C+D')(D+A')+B'C'(C+D')(D+A')
=ABC(D+A')+B'C'D'(D+A')
=ABCD+A'B'C'D
一级一级乘下来,总有AA'XX形式成为0项,所以越展开起简单