# 3 variable Karnaugh map `(K-`map 3var)

.

Truth Table for variables x, y and z.

**next**, you will notice the columns for 11 and 10 are inter-

**adjacent**1, 2, 4 or 8 cells can be grouped to find a

`minimized`

logic.`(K-`map 3var)

.Truth Table for variables x, y and z.

The K-map for 3 variables is plotted **next**, you will notice the columns for 11 and 10 are inter-changed. This is done to allow only one variable to change across adjacent cells. This placement in columns allows the minimization of logic. Now any **adjacent** 1, 2, 4 or 8 cells can be grouped to find a

`minimized`

logic.**Example:** Minimize following 3 var function.

Above is a common format of representing the K-

**Three variable ** K– map with 1 and 0 values assigned to cells is shown in next table.

With reference to the table above the cells under the dotted box’s can be combined to come-`following`

reduced equation.

F = x’y’(z+z’) + xy(z+z’) = x’y’ + xy (**Answer**.)

More practice examples on 3 var kmap `completely`

**solved** at following links.

1. F(x,y,z) = (0,1,6,7) -

2. F(x,y,z) = (0,1,4,5,6,7) -

3. F(x,y,z) = (3,4,6,7) -

4. F(x,y,z) = (0,1,2,3,4,5,6,7) -

Various kmap `topics`

on fullchipdesign are listed below.

Link to Two variables k-map.

Link to Four variables k-map.

Link to Five variables k-map.

Link to Prime Implicant and Gate level minimization examples.

Hope you liked! this page. Don't forgot to access relevant `previous and next sections `

with links below.