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Which of the following is equivalent to the Boolean function X'(X'+Y)?
Question

Which of the following is equivalent to the Boolean function X'(X'+Y)?

A.

X

B.

Y’

C.

Y

D.

X’

Correct option is D

Step 1: Apply Boolean Laws The given function is:
X' (X'+Y)
Using the Distributive Law, expand the expression:
X'⋅X'+X'⋅Y
Step 2: Simplify Terms
1 X'⋅X'=X' (Idempotent Law).
2 The expression becomes:
X'+X'⋅Y
Step 3: Apply Absorption Law Using the Absorption Law (A+A⋅B=A)
X'+X'⋅Y=X'

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