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'