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(X+Y`)(X+Z) can be represented by _____(a) (X+Y`Z)(b) (Y+X`)(c) XY`(d) (X+Z`)I got this question in an online quiz.This is a very interesting question from Boolean Functions topic in section Boolean Algebra and Modeling Computations of Discrete Mathematics |
Answer» CORRECT option is (a) (X+Y`Z) The EXPLANATION is: (X+Y`) (X+Z) = XX + XZ + XY`+ Y`Z = X + XZ + XY`+ Y`Z = X (1+Z) + XY`+ Y`Z = X.1 + XY`+ Y`Z = X (1+Y`) + Y`Z = X + Y`Z. |
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