Consider the Boolean operator # with the following properties: x # 0 = x, x #…

GATE · 2016 · CS · Set 1 · Computer Science & IT

Consider the Boolean operator # with the following properties:

x # 0 = x, x # 1 = x̄, x # x = 0 and x # x̄ = 1. Then x # y is equivalent to

  1. A.

    xȳ + x̄y

  2. B.

    xȳ + x̄ȳ

  3. C.

    x̄y + xy

  4. D.

    xy + x̄ȳ

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