SUM of PRODUCTS
Map
| D.E.F | D.E.F | D.E.F | D.E.F | D.E.F | D.E.F | D.E.F | D.E.F |
A.B.C | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
A.B.C | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
A.B.C | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
A.B.C | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
A.B.C | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
A.B.C | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
A.B.C | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
A.B.C | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Map Layout
| D.E.F | D.E.F | D.E.F | D.E.F | D.E.F | D.E.F | D.E.F | D.E.F |
A.B.C | 0 | 1 | 3 | 2 | 4 | 5 | 7 | 6 |
A.B.C | 8 | 9 | 11 | 10 | 12 | 13 | 15 | 14 |
A.B.C | 24 | 25 | 27 | 26 | 28 | 29 | 31 | 30 |
A.B.C | 16 | 17 | 19 | 18 | 20 | 21 | 23 | 22 |
A.B.C | 32 | 33 | 35 | 34 | 36 | 37 | 39 | 38 |
A.B.C | 40 | 41 | 43 | 42 | 44 | 45 | 47 | 46 |
A.B.C | 56 | 57 | 59 | 58 | 60 | 61 | 63 | 62 |
A.B.C | 48 | 49 | 51 | 50 | 52 | 53 | 55 | 54 |
Groups
(7,15,23,31) | A.D.E.F |
(32,40,48,56) | A.D.E.F |
(30,31) | A.B.C.D.E |
(31,63) | B.C.D.E.F |
y = A'DEF + AD'E'F' + A'BCDE + BCDEF
A
A
B
B
C
C
D
D
E
E
F
F
A
A
B
B
C
C
D
D
E
E
F
F
A
A
B
B
C
C
D
D
E
E
F
F
A
A
B
B
C
C
D
D
E
E
F
F
Truth Table
| A | B | C | D | E | F | Y |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
2 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
3 | 0 | 0 | 0 | 0 | 1 | 1 | 0 |
4 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
5 | 0 | 0 | 0 | 1 | 0 | 1 | 0 |
6 | 0 | 0 | 0 | 1 | 1 | 0 | 0 |
7 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
8 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
9 | 0 | 0 | 1 | 0 | 0 | 1 | 0 |
10 | 0 | 0 | 1 | 0 | 1 | 0 | 0 |
11 | 0 | 0 | 1 | 0 | 1 | 1 | 0 |
12 | 0 | 0 | 1 | 1 | 0 | 0 | 0 |
13 | 0 | 0 | 1 | 1 | 0 | 1 | 0 |
14 | 0 | 0 | 1 | 1 | 1 | 0 | 0 |
15 | 0 | 0 | 1 | 1 | 1 | 1 | 1 |
16 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
17 | 0 | 1 | 0 | 0 | 0 | 1 | 0 |
18 | 0 | 1 | 0 | 0 | 1 | 0 | 0 |
19 | 0 | 1 | 0 | 0 | 1 | 1 | 0 |
20 | 0 | 1 | 0 | 1 | 0 | 0 | 0 |
21 | 0 | 1 | 0 | 1 | 0 | 1 | 0 |
22 | 0 | 1 | 0 | 1 | 1 | 0 | 0 |
23 | 0 | 1 | 0 | 1 | 1 | 1 | 1 |
24 | 0 | 1 | 1 | 0 | 0 | 0 | 0 |
25 | 0 | 1 | 1 | 0 | 0 | 1 | 0 |
26 | 0 | 1 | 1 | 0 | 1 | 0 | 0 |
27 | 0 | 1 | 1 | 0 | 1 | 1 | 0 |
28 | 0 | 1 | 1 | 1 | 0 | 0 | 0 |
29 | 0 | 1 | 1 | 1 | 0 | 1 | 0 |
30 | 0 | 1 | 1 | 1 | 1 | 0 | 1 |
31 | 0 | 1 | 1 | 1 | 1 | 1 | 1 |
32 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |
33 | 1 | 0 | 0 | 0 | 0 | 1 | 0 |
34 | 1 | 0 | 0 | 0 | 1 | 0 | 0 |
35 | 1 | 0 | 0 | 0 | 1 | 1 | 0 |
36 | 1 | 0 | 0 | 1 | 0 | 0 | 0 |
37 | 1 | 0 | 0 | 1 | 0 | 1 | 0 |
38 | 1 | 0 | 0 | 1 | 1 | 0 | 0 |
39 | 1 | 0 | 0 | 1 | 1 | 1 | 0 |
40 | 1 | 0 | 1 | 0 | 0 | 0 | 1 |
41 | 1 | 0 | 1 | 0 | 0 | 1 | 0 |
42 | 1 | 0 | 1 | 0 | 1 | 0 | 0 |
43 | 1 | 0 | 1 | 0 | 1 | 1 | 0 |
44 | 1 | 0 | 1 | 1 | 0 | 0 | 0 |
45 | 1 | 0 | 1 | 1 | 0 | 1 | 0 |
46 | 1 | 0 | 1 | 1 | 1 | 0 | 0 |
47 | 1 | 0 | 1 | 1 | 1 | 1 | 0 |
48 | 1 | 1 | 0 | 0 | 0 | 0 | 1 |
49 | 1 | 1 | 0 | 0 | 0 | 1 | 0 |
50 | 1 | 1 | 0 | 0 | 1 | 0 | 0 |
51 | 1 | 1 | 0 | 0 | 1 | 1 | 0 |
52 | 1 | 1 | 0 | 1 | 0 | 0 | 0 |
53 | 1 | 1 | 0 | 1 | 0 | 1 | 0 |
54 | 1 | 1 | 0 | 1 | 1 | 0 | 0 |
55 | 1 | 1 | 0 | 1 | 1 | 1 | 0 |
56 | 1 | 1 | 1 | 0 | 0 | 0 | 1 |
57 | 1 | 1 | 1 | 0 | 0 | 1 | 0 |
58 | 1 | 1 | 1 | 0 | 1 | 0 | 0 |
59 | 1 | 1 | 1 | 0 | 1 | 1 | 0 |
60 | 1 | 1 | 1 | 1 | 0 | 0 | 0 |
61 | 1 | 1 | 1 | 1 | 0 | 1 | 0 |
62 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
63 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |