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Explicitly, a Boolean algebra is the partial order on subsets defined by inclusion (Skiena 1990, p. 207), i.e., the Boolean algebra of a set is the set of subsets of that can be obtained by means of a finite number of the set operations union (OR), intersection (AND), and complementation (NOT) (Comtet 1974, p. 185).
In digital electronics, Boolean logic refers to the manipulation of binary values in which a 1 represents the concept of true and a 0 represents the concept of false. In electronic circuits that implement logic, binary values are represented by voltage levels.