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Quivalent circuit for the logical expres...

Quivalent circuit for the logical expression `(~p ^^ q) vv (~p ^^ ~q) vv (p ^^ ~q)` is

A

B

C

D

Text Solution

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The correct Answer is:
C

`(~p ^^ q) vv (~p ^^ ~q) vv (p ^^ ~q)`
`-=(~p ^^ q) vv [(~p vv p) ^^ ~q]`
`-= (~ p ^^ q) vv (T ^^ ~ q)`
`-= (~ p ^^ q) vv (~ q) -= (~ p vv ~q) ^^ (q vv ~q)`
`-= (~p vv ~q) ^^ T -= (~p vv ~ q)`
This can be represented in circuit from as
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