Karnaugh Map (K-map) : 4-Variable K- map Explained (with Solved Examples)

In this video, the 4 Variable K-map is explained and the minimization of the 4 variable Boolean functions using the K-map is explained with different examples.

The following topics are covered in the video:
0:00 Introduction
0:26 Construction of 4-variable K-map
4:31 Mapping the 4 variable Boolean Function in K-map
6:00 Minimization of 4-variable Boolean Function using K-map
10:25 Example 1
11:28 Example 2
13:11 Example 3
14:41 Example 4
16:08 Example 5
18:15 Example 6

Karnaugh Map (K-map)
The Karnaugh Map is a technique for simplifying the Boolean function.

4- Variable K-map:
The 4-Variable K-map consists of 4x4 cells. Each cell of the map represents a particular minterm.
During the mapping of the function in the K-map, the minterms which are present in the function are represented as '1' in the map. (when the function is given in SOP form)
The cells in the K-map are arranged such that, the two adjacent cells of the map differ by only 1 bit.

Boolean Function Minimization using K-map (Rules):
1) Make the group of adjacent '1's in the map to minimize the function.
2) The group of '1's should be in the power of 2. (i.e the group size should be 2, 4, 8, etc).
3) The shape of the group can be either square or rectangle.
4) During the minimization and grouping, just ensure that all the 1's in the map get covered.
5) During Minimization, the overlapping of the group is allowed.

In this video, the minimization of 4-variable functions using the K-map is explained with different examples.

This video will be helpful to all the students of science and engineering in understanding the 4 variable Karnaugh Map (K-map) and how to minimize 4-variable Boolean expressions using K-map.

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