Consider the circuit shown below. The output of a 2:1 Mux is given by the…

GATE · 2001 · CS · Question 2 subparts

Consider the circuit shown below. The output of a 2:1 Mux is given by the function (ac' + bc).

        +---------+             +---------+
   1 --a|         |        g --a|         |
        | 2:1 MUX |--- g        | 2:1 MUX |--- f
   0 --b|         |       x1 --b|         |
        +----+----+             +----+----+
             | c                     | c
             |                       |
             x1                      x2

Which of the following is true?

  1. A.

    f = x1' + x2

  2. B.

    f = x1'x2 + x1x2'

  3. C.

    f = x1x2 + x1'x2'

  4. D.

    f = x1 + x2'

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