GATE CS 2018 Set 1 — Question 14
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Digital Logic → Boolean Algebra & Logic Gates → Boolean Laws & Theorems
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Question
Let and denote the Exclusive OR and Exclusive NOR operations, respectively. Which one of the following is NOT CORRECT?
Correct answer
(D) (P ⊕ P) ⊕ Q = (P P) Q
Solution
Let's evaluate each option:
(A) is the definition of XNOR, so . This is CORRECT.
(B) . This is CORRECT.
(C) . This is CORRECT.
(D) LHS: .
RHS: .
Since , option (D) is NOT CORRECT.
(A) is the definition of XNOR, so . This is CORRECT.
(B) . This is CORRECT.
(C) . This is CORRECT.
(D) LHS: .
RHS: .
Since , option (D) is NOT CORRECT.
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