\begin{definition}[Definition:Exclusive Or/Truth Table]
The characteristic truth table of the exclusive or operator $p \oplus q$ is as follows:
:$\begin{array}{|cc||c|} \hline
p & q & p \oplus q \\
\hline
\F & \F & \F \\
\F & \T & \T \\
\T & \F & \T \\
\T & \T & \F \\
\hline
\end{array}$
\end{definition}