# Material Biconditional > [!NOTE] Material Biconditional > The **material biconditional**, **exclusive conjunction**, **logical equality**, or **XNOR** of two operands is true if the value of *both operands are equal*. > $X\leftrightarrow Y$ > > | $X$ | $Y$ | $X\leftrightarrow Y$ | | :---: | :---: | :----------: | | $0$ | $0$ | $1$ | | $0$ | $1$ | $0$ | | $1$ | $0$ | $0$ | | $1$ | $1$ | $1$ | > > ![[MaterialBiconditional.svg|400]] The material biconditional is effectively the [[negation]] of the [[exclusive disjunction]]. The corresponding logic gate is the *XNOR gate*. ![[XNORGate.svg|200]]