GATE 2016 EE (SET 1) Q11

11.. Consider the following circuit which uses a 2 to 1 multiplexer as shown in the figure below. The Boolean expression for output F in terms of A and B is? 

Solution:

In the given multiplexer, $$I_0=\bar{A},I_1=A$$

Select$$= B$$

$$F = \bar{B} I_0+BI_1$$

$$F = \bar{B}{\bar{A}}+AB= \bar{A\bigoplus B}$$

 

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