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The Boolean expression ((p wedge q) v...

The Boolean expression
`((p wedge q) vee (p vee ~q)) wedge (~p wedge ~q)` is equivalent

A

`p wedge q`

B

`p vee (~q)`

C

`p wedge (~q)`

D

` (~p) wedge (~q)`

Text Solution

Verified by Experts

The correct Answer is:
D
Let the given Boolean expression
`((p wedge q) vee (p vee ~q)) wedge (~p wedge ~q)-=r`
Now, let us construct the following truth table

Clearly, `r-= ~p wedge ~q`
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