3,7
0
0
0
-
1
1
3,19
0
-
0
0
1
1
✔
5,37
-
0
0
1
0
1
✔
17,19
0
1
0
0
-
1
✔
17,25
0
1
-
0
0
1
18,19
0
1
-
0
0
-
24,25
0
1
1
0
0
-
33,37
1
0
0
-
0
1
✔
33,41
1
0
-
0
0
1
7,39
-
0
0
1
1
1
✔
39,47
1
0
-
1
1
1
39,55
1
-
0
1
1
1
60,62
1
1
1
1
-
0
From the above table eliminating a single variable from each term
Minterm | A | B | C | D | E | F | Used |
1,3,17,19 | 0 | - | 0 | 0 | - | 1 | ✔ |
1,5,33,37 | - | 0 | 0 | - | 0 | 1 | ✔ |
1,17,3,19 | 0 | - | 0 | 0 | - | 1 | ✔ |
1,33,5,37 | - | 0 | 0 | - | 0 | 1 | ✔ |
5,37,7,39 | - | 0 | 0 | 1 | - | 1 | ✔ |
From the above table, I compared and removed two variables
Prime implicant Chart:
1 | 3 | 5 | 7 | 17 | 19 | 33 | 37 | 39 | |
AC DF | x | x | x | x | |||||
BC EF | x | x | x | x | |||||
AC DF | x | x | x | x | |||||
BC EF | x | x | x | x | |||||
BC DF | x | x | x | x |
The simplified expression is AC DF + BC EF + BC DF
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