Question

The binary operator $\ne$ is defined by the following truth table.

p	q	$p\ne q$
0	0	0
0	1	1
1	0	1
1	1	0

Which one of the following is true about the binary operator $\ne$ ?

• A. Both commutative and associative
• B. Commutative but not associative
• C. Not commutative but associative
• D. Neither commutative nor associative

Answer 1

The correct option is A

Both commutative and associative

The given truth table corresponds to $p{}^{\prime }q+pq{}^{\prime }$
= $p⨁q$.
$⨁$ is known to be both commutative and associative .