习题19_3
题目:
化简逻辑表达式为最简与或式:
知识:
其中,吸收律不好理解,可以使用如下的图直观理解:
1) (ABC+AB overline C+A overline B C+A overline {BC})
$=AB(C+overline C)+A overline B C+A overline {BC}$
$=AB+A overline B C+A overline B +A overline C$
$=AB+Aoverline B(C+1)+A overline C$
$=AB+Aoverline B +A overline C$
$=A(B+overline B)+A overline C$
$=A+Aoverline C$
2) $ overline A C+overline A BC+ overline ACD(B+ overline E)$
$=overline AC(1+overline B)+overline A CD(B+overline E)$
$=overline AC(1+DB+D overline E)$
$=overline A C$
3) (AB+ overline{AB} +BC +overline{BC})
$=1+1$
$=1$
4) (AB+overline A C+overline B C)
$=AB+C(overline A+ overline B)$
$=AB+C overline {AB}$
$=AB+C$ 吸收律
原文地址:https://www.cnblogs.com/littlehb/p/15164983.html