The output of the 4 to 1 Mux is

The output of the 4 to 1 Mux is The output of the 4 to 1 Mux is

Right Answer is:

$\overline{X+Y}$

SOLUTION

Since 1, 2 & 3 are grounded.

The output of the 4 to 1 Mux is

S1 S0 V
0 0 I0
0 1 I1
1 0 I2
1 1 I3

I0 = 1, I1 = 0, I2 = 0, I3 = 0

x = S2

y = S1

The output of the 4 x 1 MUX is:

$Y = F = \bar{S_1}\bar{S_2}I_0 + \bar{S_1}S_2I_1 + S_1\bar{S_2}I_2 + S_1S_2I_3$

Substituting the values:

$F = xy \cdot 1 + xy \cdot 0 + xy \cdot 0 + xy \cdot 0$

Simplifying:

$F =\bar{X}\bar{Y} = \overline{X+Y}$

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