Question

求这个逻辑式的解，有关于数字电路的。

求这个逻辑式的解，有关于数字电路的。要有步骤。谢谢！

Answer 1

F(A,B,C,D) = ABC + A'C(D+BD') + B'C'
= ABC + A'C(D+B) + B'C'
= ABC + A'CD + A'BC + B'C'
= BC(A+A') + A'CD + B'C'
= BC + B'C' + A'CD
G(A,B,C,D) = A'B'D + AC'D + AC(BD'+D)
= A'B'D + AC'D + AC(B+D)
= A'B'D + AC'D + ACD + ABC
= A'B'D + AD(C'+C) + ABC
= A'B'D + AD + ABC
= D(A'B' + A) + ABC
= D(A+B') + ABC
所以：
L(A,B,C,D) = (BC + B'C' + A'CD)(AD + B'D + ABC)
= (ABCD + 0 + ABC) +(AB'C'D + B'C'D + 0) + (0 + A'B'CD + 0)
= ABC(D+1) + B'C'D(A+1) + A'B'CD
= ABC + B'C'D + A'B'CD
= ABC + B'D(C' + A'C)
= ABC + B'D(C'+A')
= ABC + A'B'D + B'C'D