# Unit III: Simplification of Boolean Functions | BCA 1st Semester Digital Logic System Notes Pdf

Boolean algebra is most commonly used to streamline logic circuits. A logic circuit may instantly implement a Boolean expression. In a Boolean statement, the number of logic components is inversely proportional to the number of terms and operations. A Boolean statement is converted into a different form with fewer terms and operations through the use of Boolean algebra simplification. In comparison to its original form, a logic circuit for the condensed Boolean expression performs the same function with fewer logic components. The streamlined Boolean expression is also cost-effective and trustworthy when added to a logic circuit.

Karnaugh - Map is another technique for simplifying Boolean functions (K-Map). In order to make boolean algebra statements simpler, Maurice Karnaughin invented the Karnaugh map (K-map) in 1953. It is a grid-like representation of a truth table. A Karnaugh map features entries for 0 and 1 in various places. It allows for the collection of Boolean expressions based on shared characteristics and removes unnecessary variables from the expression. Crossing a vertical or horizontal cell border in a K-map always results in a change in only one variable.

In this “Simplification of Boolean Functions - Digital Logic System” you will learn about the following topics:

1. The Karnaughmap - 2, 3, and 4 variables
2. Simplification and realization using NAND and NOR gates
3. Practical design steps

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The article Simplification of Boolean Functions - Digital Logic System is contributed by Namrata Chaudhary, a student of Lumbini Engineering College.

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