In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted by 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses logical operators such as conjunction (and) denoted as ∧ ...
Boolean Algebra is a branch of mathematics that deals with variables that have only two possible values — typically denoted as 0 and 1 (or false and true). It focuses on binary variables and logic operations such as AND, OR, and NOT. Boolean Algebra provides a formal way to represent and manipulate logical statements and binary operations. It is the mathematical foundation of digital ...
A subsection of mathematical logic, Boolean logic deals with operations involving the two Boolean values: true and false. Although Boolean logic dates back to the mid-19th century, it became foundational to modern computer programming and data querying through a method called Boolean algebra. Mathematicians, engineers and programmers working on Boolean algebra problems use rules to manipulate ...
The meaning of BOOLEAN is of, relating to, or being a logical combinatorial system (such as Boolean algebra) that represents symbolically relationships (such as those implied by the logical operators AND, OR, and NOT) between entities (such as sets, propositions, or on-off computer circuit elements). How to use Boolean in a sentence.
Boolean algebra, symbolic system of mathematical logic that represents relationships between entities—either ideas or objects. The basic rules of this system were formulated in 1847 by George Boole of England and were subsequently refined by other mathematicians and applied to set theory. Today, Boolean algebra is of significance to the theory of probability, geometry of sets, and ...