Question

化简逻辑函数求大神

1，化简逻辑函数
Y=Aˊ(CDˊ+CˊD)+BCˊD+ACˊD+AˊCDˊ
Y=ABˊCˊ+AˊBˊ+AˊD+C+BD
F(A,B,C,D)=ABˊ+AˊC+BC+CˊD

Y=ABˊCD +ABD+ ACˊD
Y=ABˊ+AˊC+ CˊD+BC

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Answer 1

Y=Aˊ(CDˊ+CˊD)+BCˊD+ACˊD+AˊCDˊ

=AˊCDˊ+A'CˊD+(A'+A)BCˊD+ACˊD

=AˊCDˊ+(A'CˊD+A'BC'D)+(ABCˊD+ACˊD)
=A'CD'+A'C'D+AC'D
=A'CD'+C'D

Y=ABˊCˊ+AˊBˊ+AˊD+C+BD

=(ABˊCˊ+C)+AˊBˊ+AˊD+BD

=AB'+C+A'B'+A'D+BD (AB'+A'B'=B')
=B'+C+A'D+BD (B'+BD=B'+D)
=B'+C+D+A'D
=A+C+D

F(A,B,C,D)=ABˊ+AˊC+BC+CˊD

=ABˊ(1+C)+AˊC+BC+CˊD

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

Y=ABˊCD +ABD+ ACˊD

=ABˊCD +AB(C+C')D+ ACˊD

=(ABˊCD +ABCD)+(ABC'D+ ACˊD)
=ACD+AC'D
=AD

第5题与第3题一样的