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

The Boolean Expression `(p^^~ q)vvqvv(~ p^^q)` is equivalent to :

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`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

MATHMETICAL REASONING
CENGAGE|Exercise Exercise (Single)|38 Videos
LOGARITHM AND ITS PROPERTIES
CENGAGE|Exercise JEE Previous Year|5 Videos
MATRICES
CENGAGE|Exercise Multiple Correct Answer|7 Videos

CENGAGE-MATHMETICAL REASONING-JEE Previous Year

Statement-1: ~(pharr~q) is equivalent to (pharrq). Statement-2: ~(p...
Text Solution
|
Let S be a non-empty subset of R. consider the following statement: ...
Text Solution
|
Consider the following statements p: Suman is brilliant q: Suman i...
Text Solution
|
The negation of the statement "If I becomes a teacher, then I will o...
Text Solution
|
Consider : Statement I: (p^^~q)^^(~p^^q) is a fallacy Statement ...
Text Solution
|
The statement ~(pharr ~q) is
Text Solution
|
The negation of ~svv(~r^^s) is equivalent to
Text Solution
|
The Boolean Expression (p^^~ q)vvqvv(~ p^^q) is equivalent to :
Text Solution
|
The following statement (p to q) to [(~p to q) to q] is
Text Solution
|
The Boolean Expression ~(pvvq) vv(~pvvq) is equivalent to
Text Solution
|