Question

The diagram of a logic circuit is given below. The output F
of the circuit is represented by
(a) W . (X + Y) (b) W . (X . Y)
(c) W + (X . Y) (d) W + (X + Y)

Answer 1

Answer:

The diagram of a logic circuit is given below, the output of the circuit is represented by

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ANSWER

Given that W and X are inputs of OR gate , so the output will be W+X

Given that W and Y are inputs of OR gate , so the output will be W+Y

Now W+X and W+Y are inputs for AND gate , so the out put F=(W+X)(W+Y)=W(1+X+Y)+XY=W+XY

Therefore the correct option is B

Explanation:

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Answer 2

Answer:

The gates (a) and (b) are  OR gates whereas  cis an  AND gate. Boolean symbol for OR and AND gates are (+) and  (.) respectively.

Thus according to the logic circuit, the output of logic gates (a) and (b) will be  (W+X)  and  (W+Y)  respectively.

Now   F=(W+X).(W+Y)

⟹F=W+(X.Y)