这个题感觉表达式会麻烦一些，一步一步写吧
Y1 = ~(A & B)
Y2 = ~(A & Y1)
Y3 = ~(B & Y1)
Y4 = ~(Y2 & Y3 & C)
Y5 = ~(Y2 & Y3 & Y4)
Y6 = ~(C & Y4)
Y = ~(Y5 & Y6)
= ~( (~(Y2 & Y3 & Y4)) & ~(C & Y4) )
= ~( (~( (~(A & Y1)) & ( ~(B & Y1) ) & ( ~(Y2 & Y3 & C )))) & ~(C & ( ~(Y2 & Y3 & C) )) )
= ~( (~( (~(A & (~(A & B)) )) & ( ~(B & (~(A & B))) ) & ( ~((~(A & Y1)) & (~(B & Y1)) & C )))) & ~(C & ( ~((~(A & Y1)) & (~(B & Y1)) & C) )) )
= ~( (~( (~(A & (~(A & B)) )) & ( ~(B & (~(A & B))) ) & ( ~((~(A & (~(A & B)))) & (~(B & (~(A & B)))) & C )))) & ~(C & ( ~((~(A & (~(A & B)))) & (~(B & (~(A & B)))) & C) )) )
真值表：
| A | B | C | Y1 | Y2 | Y3 | Y4 | Y5 | Y6 | Y |
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 |
| 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 |
| 0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 |
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 |
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 |
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 |
求解完成。
标签：功能,逻辑,电路图,Y1,Y3,Y2,Y5,Y4,Y6 From： https://www.cnblogs.com/fuqiangblog/p/16666698.html