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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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