3 variable K- map, Example - 4
Minimize following
Above is a common format of representing the K-
3 variable K– map with 1 and 0 values assigned to cells.
Above is a common format of representing the K-
3 variable K– map with 1 and 0 values assigned to cells.
The K-
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 + x’yz + x’yz’ + xy’z’ + xy’z + xyz + xyz’
F = 1 ... Final 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 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.
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with links below.