Digital electronics operate on digital signals and a digital circuit is an integral component of digital electronics. It is used in various electronic devices for different purposes. The main purpose of this circuit is the transmission of power to the different components of the circuit. It can perform different types of Boolean operations. The Digital circuit is one such circuit where the signal exists in one of the two states which are 0 and 1. We use this kind of circuit to make logic gates … [Read more...]

## Sum of Products and Product of Sums : Types and Schematic Diagrams

We are all more familiar with the terms SUM and PRODUCT in mathematics. Based on these terms, AND and OR logical operations are derived. Any kind of logical expression can be represented through these terms and there are many ways of expressing a logical function. AND represents the product relationship between the terms whereas OR represents sum relationship. So, Sum of Products and Product of Sums are the equivalent approaches of representing a logical expression. Through few principles, these … [Read more...]

## Basic and All-inclusive concepts in Boolean Algebra

Initially, we are only with the propositions of true and false and these bivalent values introduced four laws of logic. But in many of the situations, there might be a need of more than these two values, in that case, the bivalent solution fits in. This bivalent approach is proposed by Aristotle. Making modifications to his approach George Boole founded Boolean Algebra which categorized multiple laws of relationship those are in between mathematical quantities constrained to one of two values: 1 … [Read more...]