📜  门| Sudo GATE 2021 测验 |问题 26

📅  最后修改于: 2021-09-27 06:16:26             🧑  作者: Mango

以下命题陈述不等于 ((A → B) → C) → ((A → C) → B)

注意 –此问题是多选题 (MSQ)。
(A) (B → C)
(B) (B → C’)
(C) (B’ → C’)
(D) (B’ → C)答案: (A) (B) (D)
解释:让我们解决它,

((A → B) → C) → ((A → C) → B) 
= ((A’ + B)’ + C)’ + ((A’ + C)’ + B ) {we know A → B = A’ + B}
= ((AB’) + C)’ + AC’ + B
= (AB’)’C’ + AC’ + B
= (A’ + B)C’ + AC’ + B
= A’C’ + BC’ + AC’ + B
= (A + A’)C’ + (1 + C’)B              
= C’ + B   {A + A’ = 1 and 1 + C’ = 1}
= (B’ → C’) 

所以,选项(C)等于给定的表达式。这个问题的测验
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