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Question

Simplify the following circuit and find the boolean polynomial


A

p(qr)

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B

p(qr)

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C

p(qr)

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D

p(qr)

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Solution

The correct option is A

p(qr)


Step 1: Given figure

Step 2: Simplify the circuit

The current will be passed through the first box if anyone of p or q will be closed. It means, (pq)

Similarly, the current will be passed from the second box if anyone of p or r will be closed. So, (pr)

And the current will flow through both the box if both the box will be closed. So,

(pq)(pr)pqr

Hence, option (A) is the correct answer.


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