Considering X and Y as binary variables, the Boolean expression X(X + Y’) is equivalent to
Considering X and Y as binary variables, the Boolean expression X(X + Y') is equivalent to
Right Answer is:
X
SOLUTION
According to the fundamental law of Boolean Algebra
XX = X & XY’ = 0
Now in the given question
X(X + Y’) = XX + XY’
since XX = X & XY’ = 0
∴ X(X + Y’) = X
The above expression i.e X(X + Y’) = X is also called Law of absorbtion in Boolean Algebra