# Definition:Exclusive Or/Truth Function

The exclusive or connective defines the truth function $f^\oplus$ as follows:
 $\displaystyle f^\oplus \left({F, F}\right)$ $=$ $\displaystyle F$ $\displaystyle f^\oplus \left({F, T}\right)$ $=$ $\displaystyle T$ $\displaystyle f^\oplus \left({T, F}\right)$ $=$ $\displaystyle T$ $\displaystyle f^\oplus \left({T, T}\right)$ $=$ $\displaystyle F$