If we apply the NOT operation on both the input variables then we get \(\overline\). If we have to perform the logical OR operation then the boolean expression is given as A + B = 1 + 0 = 1. The boolean expression can be represented as A.B = 1.0 = 0. Suppose we have two variables A = 1 and B = 0. Sometimes the dot may be omitted like ABC.
Two or more variables with logical AND are represented by writing a dot between them such as A.B.C. For example OR of A, B, C is represented as A + B + C. #BOOLEAN ALGEBRA IN A OPLC PLUS#
Variables with OR are represented by a plus (+) sign between them.Thus if B = 0 then B¯= 1 and B = 1 then B¯= 0. the complement of variable B is represented as B¯.
Every complement variable is represented by an overbar i.e. Any variable that is being used can have only two values. Furthermore, these operations are analogous to intersection, union, and complement of sets in set theory. The logical operators AND, OR, and NOT are used to represent these operations respectively. The basic Boolean operations are conjunction, disjunction, and negation. These variables give the truth values that can be represented either by 0 or 1. Boolean Algebra Definitionīoolean algebra can be defined as a type of algebra that performs logical operations on binary variables. Venn diagrams can also be used to get a visual representation of any boolean algebra operation. The most basic application of boolean algebra is that it is used to simplify and analyze various digital logic circuits. 1.īoolean algebra is also known as binary algebra or logical algebra. In this article, we will learn more about the definition, laws, operations, and theorems of boolean algebra. The logical operators AND, OR, and NOT form the three basic boolean operators. The truth values use binary variables or bits "1" and "0" to represent the status of the input as well as the output. In elementary algebra, mathematical expressions are used to mainly denote numbers whereas, in boolean algebra, expressions represent truth values. 
The three main logical operations of boolean algebra are conjunction, disjunction, and negation. In other words, the variables can only denote two options, true or false.
There can be only two possible values of variables in boolean algebra, i.e. Boolean algebra is a branch of algebra dealing with logical operations on variables.
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