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Which of the following represents Absorption Law correctly?
Question



Which of the following represents Absorption Law correctly?

A.

X + Y·Z = (X + Y)·(X + Z)

B.

X + X·Y = X

C.

(X + Y)' = X' · Y'

D.

(X · X)' = X'

Correct option is B

X + X·Y = X is the correct representation of the Absorption Law. This law simplifies the expression X + X·Y to X, because if X is true, the value of Y doesn't matter.
Important Key Points:
1. Absorption Law simplifies expressions and reduces logic circuit complexity.
2. It is used in Boolean simplification for minimizing gates in logic circuits.
3. Other correct form: X · (X + Y) = X.
Knowledge Booster:
· X + Y·Z = (X + Y)·(X + Z) – Represents Distributive Law, not Absorption.
· (X + Y)' = X' · Y' – Is De Morgan's Theorem.
· (X · X)' = X'– Incorrect; X·X = X, not X'.

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