# 3 variable Karnaugh map `(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. LTE - 4G Wireless Technology

Digital fundamentals.

Interview Questions.

Example: Minimize following 3 var function. Above is a common format of representing the K-map problems. The numbers 0,1,6,7 are the location of cells in the 3-var k-map table is discussed next Three variable K– map with 1 and 0 values assigned to cells is shown in next table

Tutorials `@fullchipdesign.com`

Verilog Tutorial.

LTE Tutorial.

Memory Tutorial. #### 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+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) - Answer.
2. F(x,y,z) = (0,1,4,5,6,7) - Answer.
3. F(x,y,z) = (3,4,6,7) - Answer.
Various kmap `topics` on fullchipdesign are listed below.
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