XOR is short for exclusive or. It is a logical, binary operator that requires that one of the two operands be true but not both.
So these statements are true:
TRUE XOR FALSE FALSE XOR TRUE
And these statements are false:
FALSE XOR FALSE TRUE XOR TRUE
There really isn’t such a thing as an”exclusive and” (or XAND) since in theory it would have the same exact requirements as XOR. There also isn’t an XNOT since NOT is a unary operator that negates its single operand (basically it just flips a boolean value to its opposite) and as such it cannot support any notion of exclusivity.