Question

用代数法化简逻辑函数

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Answer 1

(1)F=[A+(BC)’]’+AB+BC’D
=A’BC+AB+BC’D
=(A’C+A+C’D)B=(C+A+C’D)B=(C+A+D)B=BC+AB+BD

(2)F=A+A’B+A’B’C+A’B’C’D
=A+A’(B+B’C+B’C’D) =A+A’(B+C+B’C’D) =A+A’(B+C+D) =A+B+C+D

(3)F=A’C’+A’B’+BC+A’C’D’
=A’(C’+B’)+BC+A’C’D’ =A’(BC)’+BC+A’C’D’ =A’+BC+A’C’D’
=A’+BC

(4)同一
(5)F=AB’C+ABC’+ABC
=A(B’C+BC’+BC) =A(B’C+BC+BC’) =A(C+BC’)=A(C+B)=AB+AC

(6)F=AB’C+ABC’+ABC(A+B)’
=AB’C+AB[C’+C(A+B)’] =AB’C+AB[C’+A’B’]
=AB’C+ABC’

(7)F=A’B’C+A’BC+ABC’+A’B’C’+ABC
=(A’B’C+A’BC)+( A’B’C+A’B’C’)+( ABC’+ABC)
=A’C+A’B’+AB