# 3 `variable` K-map, Example -2

#### Minimize following function: Above is a common format of representing the K-map problems. The numbers 0,1,4,5,6,7 are the location of cells in the 3-var k-map table. Discussed below LTE - 4G Wireless Technology

Digital fundamentals.

Interview Questions.

The K-map for 3 variables is plotted above. You will notice the column for 11 and 10 is inter-changed. This is done to allow only one variable to change across adjacent cells. This adjustment in columns allows in minimization of logic mapped into `tables`.

Any adjacent 1, 2, 4 or 8 cells can be grouped to find a minimized logic value.
Following plot will show grouping of adjacent cells. The two step `minimization` equation is shown below. With reference to the table above the cells under the dotted box’s can be combined to come up with following `reduced` equation.

F = (x’y’z’+ x’y’z + xy’z’ + xy’z) + (xy’z’ + xy’z + xyz + xyz’)
F = (y’ + x)

More practice examples on 3 var kmap `completely` solved at following links.

1. F(x,y,z) = (0,1,6,7) - Answer.
2. F(x,y,z) = (0,1,4,5,6,7) - Answer.
3. F(x,y,z) = (3,4,6,7) - Answer.
Tutorials `@fullchipdesign.com`
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