化简下列逻辑函数Y=ABC+非AB+AB非CY=AB+非ABC+非AB非CY=A(非A+B)+B(B+C)+BY=∑m(0,1,2,3,4,5,8,10,11,12)

Question

化简下列逻辑函数
Y=ABC+非AB+AB非C
Y=AB+非ABC+非AB非C
Y=A(非A+B)+B(B+C)+B
Y=∑m(0,1,2,3,4,5,8,10,11,12)

Answer 1

(1)F(A,B,C,D)=ABD+A'C'D+CD+B'D
F=D
(2)F(A,B,C,D)=(AD+B)(B'+C')D+BC+D
=(AD+BD)(B'+C')+BC+D
=AB'D+0+AC'D+BC'D+BC+D
F=D+BC
(3)F(A,B,C,D)=ABD+A'BD'+AC'D'+BC'
F= ABD+A'BD'+AC'D'+BC' 已最简
是否可以解决您的问题?