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
- A.
X+Y+ZX+Y
- B.
XY-YZ
- C.
X+YZ
- 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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