GATE CS 2017 Set 2 — Question 27
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Digital Logic → Boolean Algebra & Logic Gates → Boolean Laws & Theorems
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Question
If are Boolean variables, then which one of the following is INCORRECT?
Correct answer
(C) (wx(y + xz) + wx)y = xy
Solution
Let's evaluate each option:
(A) . (Correct)
(B) . (Correct)
(C) . This is , which is not equal to for all values (e.g., if , LHS=0 while RHS=1). (INCORRECT)
(D) . (Correct)Therefore, (C) is the incorrect statement.
(A) . (Correct)
(B) . (Correct)
(C) . This is , which is not equal to for all values (e.g., if , LHS=0 while RHS=1). (INCORRECT)
(D) . (Correct)Therefore, (C) is the incorrect statement.
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