Boolean algebra is a branch of mathematics that uses values true/false or 1/0 with Boolean operators AND, OR, and NOT to form logical rules that govern computational logic, set theory, and search algorithms.
Boolean algebra is a subdivision of mathematics that deals with variables that have two distinct values, commonly denoted as true and false or 1 and 0, and operations that can be applied to these values. This branch of algebra uses Boolean operators such as AND, OR, and NOT to form logical expressions that represent computational logic, sets, and more generally, the algebra of logic.
The operators have specific rules that decide the outcome of these expressions. For instance:
AND (conjunction) yields true only if both operands are true.
OR (disjunction) yields true if at least one operand is true.
NOT (negation) inverts the value of its operand.
Boolean operators can also be used to enhance search queries by combining terms to narrow or expand the results, thus making them more accurate. This logic is foundational in computer science, digital electronics, set theory, and statistics. Remember to treat equations as sentences that express concepts precisely, and when solving problems in Boolean algebra, eliminate terms to simplify the expressions and check the answers for reasonableness.