Consider Table in which A, B, C, and D are input variables. F, G, H, and I are the output variables.
a. Construct a Karnaugh map for the output variable F.
b. Find the minimum SOP expression for this logic function.
c. Use AND, OR, and NOT gates to realize the minimum SOP function.
d. Find the minimum POS expression.
| A |
B |
C |
D |
F |
G |
H |
I |
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
| 0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
| 0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
| 0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
| 0 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
| 0 |
1 |
0 |
1 |
1 |
0 |
0 |
1 |
| 0 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
| 0 |
1 |
1 |
1 |
0 |
1 |
1 |
0 |
| 1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| 1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
| 1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
| 1 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
| 1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
| 1 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
| 1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
| 1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |