根据下列逻辑函数表达式写出其真值表化简后画出其逻辑图。ZABC=AB+AC+BC

真值表：

A | B | C | AB | AC | BC | AC | AB+AC+BC --|---|---|----|----|----|------|------------- 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1

化简过程：

Z(A,B,C) = AB+AC+BC = AB+AC(B+B)+BC(A+A) = AB+ACB+ACB+ABC+ABC = AB(1+C)+ACB+ABC+ABC = AB+ACB+ABC+ABC = AB+ACB+C(B+B) = AB+ACB+C

逻辑图：

（见图片