Aspire Faculty ID #16691 · Topic: CUET 2023 · Just now
CUET 2023

If $w, x, y, z$ are Boolean variables, then which of the following is incorrect?

Solution

LHS:
$(w+y)(wxy + wyz)
= w(wxy+wyz) + y(wxy+wyz)
= wxy + wyz + wxy + wyz
= wxy + wyz$

So (4) is correct.

Checking option (3):
LHS simplifies to a term containing $y$, but RHS is $x\bar y$.
They are not equal, hence the identity is false.

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