3 variable Karnaugh map (K- map 3var)
.
Truth Table for variables x, y and z.
minimized
logic.(K- map 3var)
.Truth Table for variables x, y and z.
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.
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with links below.