SUM of PRODUCTS
Map
| D.E | D.E | D.E | D.E |
| A.B.C | 1 | 1 | 1 | 1 |
| A.B.C | 0 | 0 | 1 | 1 |
| A.B.C | 0 | 0 | 1 | 1 |
| A.B.C | 1 | 1 | 1 | 0 |
| A.B.C | 0 | 0 | 1 | 1 |
| A.B.C | 1 | 0 | 1 | 1 |
| A.B.C | 1 | 0 | 1 | 1 |
| A.B.C | 1 | 0 | 0 | 0 |
Map Layout
| D.E | D.E | D.E | D.E |
| A.B.C | 0 | 1 | 3 | 2 |
| A.B.C | 4 | 5 | 7 | 6 |
| A.B.C | 12 | 13 | 15 | 14 |
| A.B.C | 8 | 9 | 11 | 10 |
| A.B.C | 16 | 17 | 19 | 18 |
| A.B.C | 20 | 21 | 23 | 22 |
| A.B.C | 28 | 29 | 31 | 30 |
| A.B.C | 24 | 25 | 27 | 26 |
Groups
| (2,3,6,7,18,19,22,23) | B.D |
| (6,7,14,15,22,23,30,31) | C.D |
| (0,1,2,3) | A.B.C |
| (1,3,9,11) | A.C.E |
| (20,22,28,30) | A.C.E |
| (8,24) | B.C.D.E |
y = B'D + CD + A'B'C' + A'C'E + ACE' + BC'D'E'
A
A
B
B
C
C
D
D
E
E
A
A
B
B
C
C
D
D
E
E
A
A
B
B
C
C
D
D
E
E
A
A
B
B
C
C
D
D
E
E
A
A
B
B
C
C
D
D
E
E
A
A
B
B
C
C
D
D
E
E
Truth Table
| A | B | C | D | E | Y |
|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 0 | 0 | 1 | 1 |
| 2 | 0 | 0 | 0 | 1 | 0 | 1 |
| 3 | 0 | 0 | 0 | 1 | 1 | 1 |
| 4 | 0 | 0 | 1 | 0 | 0 | 0 |
| 5 | 0 | 0 | 1 | 0 | 1 | 0 |
| 6 | 0 | 0 | 1 | 1 | 0 | 1 |
| 7 | 0 | 0 | 1 | 1 | 1 | 1 |
| 8 | 0 | 1 | 0 | 0 | 0 | 1 |
| 9 | 0 | 1 | 0 | 0 | 1 | 1 |
| 10 | 0 | 1 | 0 | 1 | 0 | 0 |
| 11 | 0 | 1 | 0 | 1 | 1 | 1 |
| 12 | 0 | 1 | 1 | 0 | 0 | 0 |
| 13 | 0 | 1 | 1 | 0 | 1 | 0 |
| 14 | 0 | 1 | 1 | 1 | 0 | 1 |
| 15 | 0 | 1 | 1 | 1 | 1 | 1 |
| 16 | 1 | 0 | 0 | 0 | 0 | 0 |
| 17 | 1 | 0 | 0 | 0 | 1 | 0 |
| 18 | 1 | 0 | 0 | 1 | 0 | 1 |
| 19 | 1 | 0 | 0 | 1 | 1 | 1 |
| 20 | 1 | 0 | 1 | 0 | 0 | 1 |
| 21 | 1 | 0 | 1 | 0 | 1 | 0 |
| 22 | 1 | 0 | 1 | 1 | 0 | 1 |
| 23 | 1 | 0 | 1 | 1 | 1 | 1 |
| 24 | 1 | 1 | 0 | 0 | 0 | 1 |
| 25 | 1 | 1 | 0 | 0 | 1 | 0 |
| 26 | 1 | 1 | 0 | 1 | 0 | 0 |
| 27 | 1 | 1 | 0 | 1 | 1 | 0 |
| 28 | 1 | 1 | 1 | 0 | 0 | 1 |
| 29 | 1 | 1 | 1 | 0 | 1 | 0 |
| 30 | 1 | 1 | 1 | 1 | 0 | 1 |
| 31 | 1 | 1 | 1 | 1 | 1 | 1 |