Selective Prime Implicants

The prime implicants for which are neither essential nor redundant prime implicants are called selective prime implicants(SPI). These are also known as non-essential prime implicants. They may appear in some solution or may not appear in some solution. 

Example of Selective Prime Implicants

Here we have 2 examples of prime implicant for better understanding given below : 
 

Various Implicants in K-Map

Implicant is a product/minterm term in Sum of Products (SOP) or sum/maxterm term in Product of Sums (POS) of a Boolean function. For example, consider a Boolean function, F = AB + ABC + BC. Implicants are AB, ABC, and BC. 

In this article, we will explore various implicants in K-Map with examples for better understanding and k-map diagram. Also, we will look into the Boolean expressions formed for each k-map.

Table of Content

  • Various Implicants in K-Map
  • Prime Implicants
  • Essential Prime Implicants
  • Redundant Prime Implicants
  • Selective Prime Implicants
  • Solved Examples

Similar Reads

Various Implicants in K-Map

An implicant can be defined as a product/minterm term in Sum of Products (SOP) or sum/maxterm term in Product of Sums (POS) of a Boolean function....

Prime Implicants

A group of squares or rectangles made up of a bunch of adjacent minterms which is allowed by the definition of K-Map are called prime implicants(PI) i.e. all possible groups formed in K-Map....

Essential Prime Implicants

These are those subcubes(groups) that cover at least one minterm that can’t be covered by any other prime implicant. Essential prime implicants(EPI) are those prime implicants that always appear in the final solution....

Redundant Prime Implicants

The prime implicants for which each of its minterm is covered by some essential prime implicant are redundant prime implicants(RPI). This prime implicant never appears in the final solution....

Selective Prime Implicants

The prime implicants for which are neither essential nor redundant prime implicants are called selective prime implicants(SPI). These are also known as non-essential prime implicants. They may appear in some solution or may not appear in some solution....

Solved Examples of Various Implicants in K-Map

Here we have 2 examples of prime implicant for better understanding given below :...

Conclusion

In the conclusion, we have basically four types of implicants in k-map named as Prime Implicants(PI), Essential Prime Implicants(EPI), Redundant Prime Implicants(RPI) and Selective Prime Implicants(SPI). These four types provides a clear structure in the formation of groups in k-map which makes the Boolean expression formed with more clarity....

Various Implicants in K-Map – FAQs

What is the difference between essential prime implicant and prime implicant?...