prime implicant
A 'prime implicant' is a key concept in Boolean algebra and electrical engineering, especially when simplifying logical expressions using Karnaugh maps.
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Definition
C2Boolean Algebra
(technical, academic)A minimal product term that represents the largest possible grouping of adjacent cells containing ones in a Karnaugh map, without being part of a larger grouping.
Example
- In the Karnaugh map, this cluster of ones forms a prime implicant, simplifying the Boolean function.
- Identifying prime implicants is crucial for minimizing logical expressions.
C2Electrical Engineering
(technical, academic)A minimal group of related ones or zeros on a Karnaugh map that cannot be subsumed by any other group in the same map.
Example
- Engineers use prime implicants to reduce the complexity of digital circuits.
- The prime implicant in this map helps in optimizing the logic design.