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K-map: Prime Implicant and Essential Prime Implicant Explained

ALL ABOUT ELECTRONICS

all about electronics

K-map

Prime Implicant and Essential Prime Implicant

What is Prime Implicant in K-map

Karnaugh Map

K-map Prime Implicants

K-map Essential Prime Implicants

how to find the prime implicants in the K-map

how to determine the essential prime implicants in K-map

Prime Implicant and the Essential Prime Implicants in K-map

How to find the prime implicants of the Boolean function

Prime Implicants and Essential Prime Implicants questions

Автор: ALL ABOUT ELECTRONICS

Загружено: 2021-12-25

Просмотров: 205464

Описание: 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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#PrimeImplicaant
#EssentialPrimeImplicant

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K-map: Prime Implicant and Essential Prime Implicant Explained

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