请用卡诺图化简逻辑函数至最简与成式用卡诺图化简下列逻辑函数:F(A,B,C,D)=∑m(0,1,2,3,4,7,8,9,10,12,14,15)+∑d(5,13)
问题描述:
请用卡诺图化简逻辑函数至最简与成式用卡诺图化简下列逻辑函数:
F(A,B,C,D)=∑m(0,1,2,3,4,7,8,9,10,12,14,15)+∑d(5,13)
答
F(A,B,C,D)=∑m(0,1,2,3,4,7,8,9,10,12,14,15)+∑d(5,13)
=[∑m(0,1,4,8,9,12)+∑d(5,13)]+[∑m(12,14,15)+∑d(13)]+
[∑m(1,3,7)+∑d(5)]+∑m(0,2,8,10)
=C'+AB+A'D+B'D'