K-map: Prime Implicant and Essential Prime Implicant Explained

In this video, what is Prime implicant and what is Essential Prime Implicant is explained using examples.

The following topics are covered in the video:

0:00 Introduction
1:21 What is Implicant?
2:46 What is Prime Implicant and How to Identify the Prime Implicant in K-map?
7:49 What is Essential Prime Implicant and How to Identify it in the K-map?

What is Implicant?
A minterm or group minterms which are adjacent and can be combined in the K-map are called Implicant.

What is Prime Implicant?
The largest group of "1"s which can be circled to cover the particular "1" (minterm) in the K-map is called Prime Implicant.

What is Essential Prime Implicant?
It is the prime implicant where at least one minterm or is not covered by any other prime implicant in the K-map.

Minimizing the Boolean Function using Essential Prime Implicants:
During the Minimization, by identifying the Prime Implicants and the Essential Prime Implicants, systematically we can find the minimal expression of the given Boolean function.

Steps for finding the Minimal Expression:
1) Find the Essential Prime Implicants and add them to the final solution
2) Determine the minterms in the K-map which are not covered by Essential Prime Implicants
3) Include the remaining minterms using Non-Essential Prime Implicants

This video will be helpful to all the students of science and engineering in understanding the Prime Implicant and Essential Prime Implicant. And how to find the minimal solution of the Boolean Function by identifying the Essential Prime Implicants in the K-map.

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