Various Implicants in K-Map
What is the difference between essential prime implicant and prime implicant?
An Essential Prime Implicants(EPI) is a subset of Prime Implicants(PI) where EPI contains at least one “1” or minterms that is not shared in any other PI or group made in a k-map.
What is POS and SOP used in Various Implicants in K-Map ?
POS and SOP are the types of boolean expression formed according to the given K-Map. POS stands for Product of Sum created by using maxterms and SOP stands for Sum of Product created by using minterms.
What is the maximum essential prime implicants?
The maximum essential prime implicants for a n-variable Boolean function will be 2(n – 1)
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