任何人都可以解决这个问题:简化布尔表达式 Z=A+A'B + A'B'C+ A'B'C'D
Any one can solve this: Simplify the boolean expression Z=A+A'B + A'B'C+ A'B'C'D
任何人都可以解决这个问题:
简化布尔表达式
Z=A+A'B + A'B'C+ A'B'C'D
这个问题的最终答案是什么。
Z = A + A'B + A'B'C + A'B'C'D <br>
Z = A + A'(B + B'C + B'C'D) (distributivity)
Z = A + A'(B + B'(C + C'D)) (distributivity)
Z = A + A'(B + B'(C(D+1) + C'D)) (null law)
Z = A + A'(B + B'(CD + C + C'D)) (distributivity)
Z = A + A'(B + B'(C + D(C + C'))) (distributivity)
Z = A + A'(B + B'(C + D)) (inverse law)
Z = A + A'(B + C + D) (same 4 steps applied above)
Z = A + B + C + D (same as above)
所以,整个表达式实际上可以用这个规则来解决:
A + A'B = A + B(吸收定律)
任何人都可以解决这个问题: 简化布尔表达式 Z=A+A'B + A'B'C+ A'B'C'D 这个问题的最终答案是什么。
Z = A + A'B + A'B'C + A'B'C'D <br>
Z = A + A'(B + B'C + B'C'D) (distributivity)
Z = A + A'(B + B'(C + C'D)) (distributivity)
Z = A + A'(B + B'(C(D+1) + C'D)) (null law)
Z = A + A'(B + B'(CD + C + C'D)) (distributivity)
Z = A + A'(B + B'(C + D(C + C'))) (distributivity)
Z = A + A'(B + B'(C + D)) (inverse law)
Z = A + A'(B + C + D) (same 4 steps applied above)
Z = A + B + C + D (same as above)
所以,整个表达式实际上可以用这个规则来解决:
A + A'B = A + B(吸收定律)