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Question

For the circuits shown below, the Boolean polynomial is


A

~pqp~q

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B

~ppq~q

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C

~p~qqp

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D

~pqp~q

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Solution

The correct option is D

~pqp~q


Boolean Polynomial

  1. The component connected in series is represented by the symbol

  1. The component connected in parallel is represented by the symbol

According to the circuit,

~pand q are connected in series so boolean polynomial is ~pq,

Again, pand ~q are connected in series so boolean polynomial is p~q,

And ~pq and p~q are connected in parallel so boolean polynomial is ~pqp~q

So the boolean polynomial for the given circuit will be ~pqp~q

Hence, the correct option is 'D'.


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