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.

Simplification of Boolean Functions - Digital Logic System

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



==== Point to Note ====

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

If you like to contribute, you can mail us BCA Notes, BCA Question Collections, BCA Related Information, and Latest Technology Information at [email protected].

See your article appearing on BCA Notes by Kundan Chaudhary's main page with your designation and help other BCA Students to excel.

Please write comments if you find anything incorrect, or if you want to share more information about the topic discussed above.

BCA 1st Semester Digital Logic System Notes Pdf: