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Simplify the expression XZ’ + (Y + Y’Z) + XY.(a) (1+XY’)(b) YZ + XY’ + Z’(c) (X + Y +Z)(d) XY’+ Z’I have been asked this question during an interview.This key question is from Minimization of Boolean Functions topic in portion Boolean Algebra and Modeling Computations of Discrete Mathematics

Answer» CORRECT CHOICE is (C) (X + Y +Z)

To explain: GIVEN: X Z’ + (Y + Y’Z) + XY

= XZ’ + (Y + Z) + XY

= XZ’ + Y + Z + XY

= (XZ’ + Z) + (Y + XY)

= (X + Z) + Y (1 + X)

= X + Y + Z.


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