Two and Three variable K-Map

Filter Course


Two and Three variable K-Map

Published by: Dikshya

Published date: 09 Jul 2023

Two and Three variable K-Map

Two Varaiable K-Map

A two-variable Karnaugh map is a graphical representation used to simplify and minimize logic functions with two input variables. It consists of a 2x2 grid with four cells, each representing a unique combination of the two variables. The variables are typically labeled as A and B.

   

To use the Karnaugh map, you start by filling in the cells with the corresponding output values (usually 0s and 1s) from the truth table of the logic function you want to simplify. Once the cells are filled, you can identify groups of adjacent 1s or 0s. The groups can be horizontal or vertical, but not diagonal. The goal is to create the largest groups possible while covering all the 1s or 0s.

Three Varaiable K-Map

A three-variable Karnaugh map is a graphical representation used to simplify and minimize logic functions with three input variables. It consists of a 4x4 grid with sixteen cells, each representing a unique combination of the three variables. The variables are typically labeled as A, B, and C.

 

 

 

 

 

 

 

 

To use the Karnaugh map, you start by filling in the cells with the corresponding output values (usually 0s and 1s) from the truth table of the logic function you want to simplify.

Once the cells are filled, you can identify groups of adjacent 1s or 0s. The groups can be horizontal, vertical, or in squares (2x2 cells), but not diagonal. The goal is to create the largest groups possible while covering all the 1s or 0s.