The Boolean expression Y = (A + B' + A'B)C' is given by

2007

The Boolean expression Y = (A + B' + A'B)C' is given by

  1. A.

    AC'

  2. B.

    BC'

  3. C.

    C'

  4. D.

    AB

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Correct answer: C

Given the Boolean expression: Y = (A + B' + A'B)C'

First, simplify the term inside the parentheses: (A + B' + A'B).

Apply the identity A + A'B = A + B to get (A + B + B').

Since B + B' = 1, the expression becomes (A + 1).

Since A + 1 = 1 in Boolean algebra, the expression simplifies to 1 · C'.

Therefore, Y = C'.

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