Boolean Expression and Variables
Boolean expression is an expression that produces a Boolean value when evaluated, i.e. it produces either a true value or a false value. Whereas boolean variables are variables that store Boolean numbers.
P + Q = R is a Boolean phrase in which P, Q, and R are Boolean variables that can only store two values: 0 and 1. The 0 and 1 are the synonyms for false and True and are used in Boolean Algebra, sometimes we also use “Yes” in place of True and “No” in place of False.
Thus, we can say that statements using Boolean variables and operating on Boolean operations are Boolean Expressions. Some examples of Boolean expressions are,
- A + B = True
- A.B = True
- (A)’ = False
Check: Axioms of Boolean Algebra
Boolean Algebra
Boolean algebra is a type of algebra that is created by operating the binary system. In the year 1854, George Boole, an English mathematician, proposed this algebra. This is a variant of Aristotle’s propositional logic that uses the symbols 0 and 1, or True and False. Boolean algebra is concerned with binary variables and logic operations.
Boolean Algebra is fundamental in the development of digital electronics systems as they all use the concept of Boolean Algebra to execute commands. Apart from digital electronics this algebra also finds its application in Set Theory, Statistics, and other branches of mathematics.
In this article, we will learn about, basic Boolean operations, Boolean expressions, Truth Tables, Boolean laws, and others in detail.
Table of Content
- Boolean Algebra Operations
- Table of Boolean Algbera
- Boolean Expression and Variables
- Boolean Algebra Terminologies
- Truth Tables in Boolean Algebra
- Boolean Algebra Rules
- Laws for Boolean Algebra
- Boolean Algebra Theorems
- Solved Examples on Boolean Algebra