The Simplified form of Boolean Expression (X+Y+XY) (X+Z) is

2009

The Simplified form of Boolean Expression (X+Y+XY) (X+Z) is

  1. A.

    X+Y+ZX+Y

  2. B.

    XY-YZ

  3. C.

    X+YZ

  4. D.

    XZ+Y

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Correct answer: C

First, simplify the term (X + Y + XY). Using the absorption law, X + XY equals X, so the expression becomes (X + Y)(X + Z). Next, expand this product to get X + XZ + XY + YZ. Finally, apply absorption again where X absorbs the terms containing X, leaving the final simplified form as X + YZ.

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