Using Boolean algebra as switching algebra, complex circuits are expressed so that they can be evaluated mathematically. ... (X ⊕ Y) for both calculations in the logic diagram.

Boolean algebra is the combination of logic and algebra, initially developed by George Boole, for whom the subject is named, in the 1840s and '50s, ...

His lasting theory, Boolean logic, is a form of algebra where all the values (or variables) are either "true" or "false". In the 1930s, ...