What values of A, B, C and D satisfy the following simultaneous Boolean…

GATE · 1995 · CS · Question 2 subpartsModified — slightly modified from the official paper; see the solution

What values of A, B, C and D satisfy the following simultaneous Boolean equations? Ā + AB = 0, AB = AC, AB + AC̄ + CD = (CD)̄ Assume D = 1.

  1. A.

    A = 1, B = 0, C = 0, D = 1

  2. B.

    A = 1, B = 1, C = 0, D = 0

  3. C.

    A = 1, B = 0, C = 1, D = 1

  4. D.

    A = 1, B = 0, C = 0, D = 0

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