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For the circuit shown below, the Boolean...

For the circuit shown below, the Boolean polynomial is

A

`(~p vv q) vv (p vv ~ q)`

B

`(~p ^^ q) ^^ (p ^^ q)`

C

`(~p ^^ ~ q) ^^ (q ^^ p)`

D

`(~p ^^ q) vv (p ^^ ~ q)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given, ~ p and q both switches are in series.
`therefore " " (~ p ^^ q) " "` ….(i)
Again p and ~ q both switches are in series.
`therefore " " (p ^^ ~ q) " "` ….(ii)
But Eqs. (i) and (ii) are parallel switch.
`therefore " " (~ p ^^ q) vv (p ^^ ~ q)`
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