用卡诺图法化简下列逻辑函数为最简"与—或"表达式
问题描述:
用卡诺图法化简下列逻辑函数为最简"与—或"表达式
(1)F(A,B,C,D)=ABD+A'C'D+CD+B'D
(2)F(A,B,C,D)=(AD+B)(B'+C')D+BC+D
(3)F(A,B,C,D)=ABD+A'BD'+AC'D'+BC
答
(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