Truth table of the exclusive disjunction

Statement

In everyday language, “I’ll have tea or coffee” usually means one of the two but not both: this is the exclusive disjunction, written $\oplus$. Build the truth table of $p \oplus q$.

Solution

$p \oplus q$ is true exactly when $p$ and $q$ have different truth values.

$p$	$q$	$p \oplus q$
T	T	F
T	F	T
F	T	T
F	F	F