The consensus algorithm of combinational logic for X, Y and Z variables,…

2017

The consensus algorithm of combinational logic for X, Y and Z variables, defined as X.Y + X'.Z + Y.Z is equivalent to

  1. A.

    Y.Z

  2. B.

    X.Y

  3. C.

    X.Y + X'.Z

  4. D.

    X

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Correct answer: C

By the consensus theorem, XY + X'Z + YZ simplifies to XY + X'Z because YZ is the redundant consensus term.

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