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The Boolean expression x( x+y) is equal to
Question

The Boolean expression x( x+y) is equal to

A.

x

B.

y

C.

x+y

D.

More than one of the above

E.

None of the above

Correct option is A

The given Boolean expression is: x(x + y)
Step 1: Apply the Absorption Law
According to the absorption law in Boolean algebra, which states that: x(x + y) = x
Step 2: Simplification
The expression simplifies to just x.
Thus, the final result is: x(x + y) = x
Important Key Points:
1. Absorption Law: The absorption law states that x(x + y) = x, which simplifies the Boolean expression directly to x.
2. Simplification: This property helps in reducing complex Boolean expressions and making them simpler to evaluate.

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