Homework SourseHow can I simplify this expression using K map FXYZsummation
How can I simplify this expression using K map?
F(X,Y,Z)=summation(1,3,5,9,12,13,14).
I know how to solve for things like this but my confusion is that when you have three variables you must have 2^3 decimal number maximum starting from 0 to 7.
How would solve this expression using K map? Any help is appreciated.
Solution
Well... Having a function like that is wrong because you need four variables to obtain a 4x4 Karnaugh map (from 0 to 15). Also you have to know that you have positions in the summation (9, 12, 13, 14) not possible with only three variables. The function should be F(W.X,Y,Z) thus 2^4 = 16 (from 0 to 15).
| WX/YZ | 00 | 01 | 11 | 10 |
| 00 | Position #0 | Position #1 | Position #3 | Position #2 |
| 01 | Position #4 | Position #5 | Position #7 | Position #6 |
| 11 | Position #12 | Position #13 | Position #15 | Position #14 |
| 10 | Position #8 | Position #9 | Position #11 | Position #10 |
