Boolean algebra is a well-known branch of algebra that deals with the truth values i.e., true or false. The digital circuits and the digital gates are simplified with the help of this branch of algebra. The modern programming languages and the modern development of digital electronics.Boolean algebra is a well-known technique that is widely used in mathematics, computer, set theory, and statistics for various purposes.What is Boolean Algebra?In Boolean algebra variables are studied only in binary form. A Boolean variable is typically defined as either true or false. 1 is represented as true and 0 is represented as false. There are also more complex interpretations of variables, such as those found in set theory. Binary algebra is another name for Boolean algebra.The most common operations that are performed in binary algebra are negation, conjunction, and disjunction. This kind of algebra is not similar to elementary algebra. The rules of addition and subtraction are different in this type of algebra.Operations of Boolean AlgebraThree main operations are involved in this type of algebra. - Conjunction (^) - Disjunction (v) - Negation (-)These Boolean operators are frequently used to evaluate the sum, difference, and transpose of two variables.1. Conjunction (^)A conjunction is an operation of binary xalgebra used to multiply the variables. This operation is said to be the AND operation and is denoted by the โ^โ symbol. The values are true only when both values are true otherwise the values are false. the values can be written as โA.Bโ or A ^ B.For examplePQP^Q0000101001112. Disjunction (v)
