3 variable K- map - Examples
Following four functions
are minimized using 3 var K-
3. F(x,y,z) = (3,4,6,7) -
4. F(x,y,z) = (0,1,2,3,4,5,6,7) -
Minimize following function.
Following four functions
are minimized using 3 var K-
Minimize following function.
Above is a common format of representing the K-
The K-
Any adjacent 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-
F = x’y’(z+z’) + xy(z+z’)
F= x’y’ + xy .. Final Answer.
More example below:
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 2 variables k-map.
Link to 3 variables k-map.
Link to 4 variables k-map.
Link to 5 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.