What are the Properties of Boolean Algebra?

The Boolean Algebra uses sets of rules for analyzing digital gates and circuits which are known as Laws or properties of Boolean Algebra. These laws or properties help to simplify complex Boolean expressions by reducing the number of logic gates required for a given operation.

Variables in the Boolean Algebra are binary which takes only values of either 0 or 1. While expression can be written in an infinite number of variables, each variable can only assume one of these two values. For example, variables labelled as A, B, C, etc., can be utilized to formulate logical expressions such as A + B = C.

Boolean Addition

It is the fundamental operation in Boolean algebra, it is similar to the OR Operation. In digital circuits, it is used to compute the sum term without necessitating the AND operation. The sum term evaluates to true if one or more literals are true, and false if all literals are false. Some of the examples of it are A+B, A’+B, A’+C’.

Boolean Multiplication

It is also one of the fundamental operations in Boolean algebra and it is similar to the AND operation. In a digital circuit, it is used to determine the product term, without using the OR operations. The product term evaluates to true only if all literals are true; otherwise, false. Some of the examples of the AND operation are A.C, A.D.E.

In this article, we will be going through the Properties or Laws of the Boolean algebra. So first we will start our article by defining what are the properties of Boolean Algebra, and then we will go through what are Boolean Addition and Multiplication. Then we will go through the different properties of Boolean Algebra such as Annulment, Identity law, Idempotent law, etc.