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'.
