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The Boolean Expression (p^^~ q)vvqvv(~ p...

The Boolean Expression `(p^^~ q)vvqvv(~ p^^q)` is equivalent to : (1) `~ p^^q` (2) `p^^q` (3) `pvvq` (4) `pvv~ q`

A

`p^^q`

B

`pvvq`

C

`pvv~p`

D

`~p^^q`

Text Solution

Verified by Experts

The correct Answer is:
B
`[(p^^~q)vvq](~qvvq)vv(~p^^q)`
`=(pvvq)^^(~qvvq)vv(~p^^q)`
`=(pvvq)^^[tvv(~p^^q)]`
`(pvvq)^^t`
`=pvvq`
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