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用卡诺图法化简函数

画卡诺图 填最小项 圈图,写答案F=BD+CD+A'C'D'

F=A'B'+CD'+ABC'D

与单输出的有点不同,请阅读http://www.doc88.com/p-950219968373.html

f=cd+c'd'

F=A+B'D'+CD'+B'D'+BC'D+B'C

Y=A'BC'+BD+C'D

Y(A,B,C,D)=∑m(0,1,4,5,7,8,13,15) =∑m(0,1)+∑m(0,4)+∑m(0,8)+∑m(5,7,13,15) =A'B'C'+A'C'D'+B'C'D'+BD

Y=AB'+AD+BC+CD'

Y(A,B,C,D)= ∑m(0,4,6,8,10,12,14) = ∑m(0,4,8,12)+ ∑m(,4,6,12,14)+ ∑m(8,10,12,14) =C’D’+BD’+AD’ Y(A,B,C)=AB+BC’+A’C’ = ∑m(12,13,14,15)+ ∑m(4,5,12,13)+ ∑m(0,1,4,5) = ∑m(12,13,14,15)+ ∑m(0,1,4,5) =AB+A’C’

化解结果为:F=A'C'+B'C'+ABC 卡 诺 图 如 图

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