In Boolean algebra, the logical relations are realized by logics
. Besides the conjunction
, the logical and-connection, there is the disjunction
, thelogical or-connection
, the negation
, theinversion of the logical state and the antivalence. The latter is called anticoincidence in English, expressing that the logical states are not coincident.XOR-gate. The output has the state "1" if all inputs are different, i.e. not coincident. The output is "0" if all inputs are the same.