The binary operator $\neq$ is defined by the following truth table.
$$\begin{array}{|l|l|l|} \hline \textbf{p} & \textbf{q}& \textbf{p} \neq \textbf{q}\\\hline \text{0} & \text{0}& \text{0}\\\hline \text{0} & \text{1}& \text{1}\\\hline \text{1} & \text{0}& \text{1}\\\hline \text{1} & \text{1}& \text{0}\\\hline \end{array}$$
Which one of the following is true about the binary operator $\neq$ ?
- Both commutative and associative
- Commutative but not associative
- Not commutative but associative
- Neither commutative nor associative