Alte Quine Mc Cluskeys und Übungen.

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Re: Alte Quine Mc Cluskeys und Übungen.

Beitrag von davidvajda.de »

Code: Alles auswählen

 0 0 0 0 0    0
 1 0 0 0 1    0
 2 0 0 1 0    1
 3 0 0 1 1    0
 4 0 1 0 0    0
 5 0 1 0 1    1
 6 0 1 1 0    0
 7 0 1 1 1    1
 8 1 0 0 0    0
 9 1 0 0 1    1
10 1 0 1 0    0
11 1 0 1 1    1
12 1 1 0 0    0
13 1 1 0 1    0
14 1 1 1 0    1
15 1 1 1 1    1


 2 0 0 1 0    1
 5 0 1 0 1    1
 7 0 1 1 1    1
 9 1 0 0 1    1
11 1 0 1 1    1
14 1 1 1 0    1
15 1 1 1 1    1

Gruppe 1

 2 0 0 1 0    1

Gruppe 2

 5 0 1 0 1    1
 9 1 0 0 1    1

Gruppe 3
 
 7 0 1 1 1    1
11 1 0 1 1    1
14 1 1 1 0    1

15 1 1 1 1    1

5;7     0 1 - 1
9;11    1 0 - 1
7;15    - 1 1 1
11;15   1 - 1 1 
14;15   1 1 1 -
2

(not x3 and not x2 and x1 and not x0) or (not x3 and x2 and x0) or (x3 and not x2 and x0) or (x2 and x1 and x0) or (x3 and x1 and x0) or (x3 and x2 and x1)

Überdeckungen mit Primimplikanten gibt es keine

Code: Alles auswählen

 0 0 0 0 0    1
 1 0 0 0 1    1
 2 0 0 1 0    1
 3 0 0 1 1    0
 4 0 1 0 0    0
 5 0 1 0 1    0
 6 0 1 1 0    0
 7 0 1 1 1    1
 8 1 0 0 0    0
 9 1 0 0 1    0
10 1 0 1 0    0
11 1 0 1 1    0
12 1 1 0 0    0
13 1 1 0 1    0
14 1 1 1 0    0
15 1 1 1 1    0


 0 0 0 0 0    1
 1 0 0 0 1    1
 2 0 0 1 0    1
 7 0 1 1 1    1

Gruppe 0

 0 0 0 0 0    1

Gruppe 1

 1 0 0 0 1    1
 2 0 0 1 0    1

Gruppe 3

 7 0 1 1 1    1

0;1     0 0 0 -
0;2     0 0 - 0
7       0 1 1 1

(not x3 and not x2 and not x1) or (not x3 and not x2 and not x0) or (not x3 and x2 and x1 and x0)

Code: Alles auswählen

 0 0 0 0 0    1
 1 0 0 0 1    0
 2 0 0 1 0    0
 3 0 0 1 1    1
 4 0 1 0 0    1
 5 0 1 0 1    0
 6 0 1 1 0    0
 7 0 1 1 1    1
 8 1 0 0 0    1
 9 1 0 0 1    1
10 1 0 1 0    1
11 1 0 1 1    0
12 1 1 0 0    0
13 1 1 0 1    1
14 1 1 1 0    0
15 1 1 1 1    0

 0 0 0 0 0    1
 3 0 0 1 1    1
 4 0 1 0 0    1
 7 0 1 1 1    1
 8 1 0 0 0    1
 9 1 0 0 1    1
10 1 0 1 0    1
13 1 1 0 1    1

Gruppe 0
 0 0 0 0 0    1

Gruppe 1
 4 0 1 0 0    1
 8 1 0 0 0    1

Gruppe 2 
 3 0 0 1 1    1
 9 1 0 0 1    1
10 1 0 1 0    1

Gruppe 3
 7 0 1 1 1    1
13 1 1 0 1    1

0;4     0 - 0 0
0:8     - 0 0 0 
8;9     1 0 0 -
8;10    1 0 - 0
3;7     0 - 1 1
9;13    1 - 0 1


8;9     1 0 0 -
8;10    1 0 - 0
3;7     0 - 1 1
9;13    1 - 0 1
0;4     0 - 0 0
0:8     - 0 0 0

(x3 and not x2 and not x1) or 
(x3 and not x2 and not x0) or 
(not x3 and x1 and x0) or 
(x3 and not x1 and x0) or 
(not x3 and not x1 and not x0) or 
(not x2 and not x1 and not x0)

entity mydevice is 
port (
 x3, x2, x1, x0: in bit;
 y: out bit;
);
end;

architecture behaviour of mydevice is 
begin 
    y <= (x3 and not x2 and not x1) or (x3 and not x2 and not x0) or (not x3 and x1 and x0) or (x3 and not x1 and x0) or (not x3 and not x1 and not x0) or (not x2 and not x1 and not x0);
end behaviour;

Code: Alles auswählen

 0 0 0 0 0    1
 1 0 0 0 1    1
 2 0 0 1 0    1
 3 0 0 1 1    0
 4 0 1 0 0    0
 5 0 1 0 1    1
 6 0 1 1 0    0
 7 0 1 1 1    0
 8 1 0 0 0    0
 9 1 0 0 1    0
10 1 0 1 0    1
11 1 0 1 1    0
12 1 1 0 0    0
13 1 1 0 1    0
14 1 1 1 0    1
15 1 1 1 1    1

 0 0 0 0 0    1
 1 0 0 0 1    1
 2 0 0 1 0    1
 5 0 1 0 1    1
10 1 0 1 0    1
14 1 1 1 0    1
15 1 1 1 1    1


Gruppe 0

 0 0 0 0 0    1
 
Gruppe 1

 1 0 0 0 1    1
 2 0 0 1 0    1

Gruppe 2

 5 0 1 0 1    1
10 1 0 1 0    1

Gruppe 3

14 1 1 1 0    1

Gruppe 4

15 1 1 1 1    1

0;1     0 0 0 -
0;2     0 0 - 0
1;5     0 - 0 1
2;10    - 0 1 0
10;14   1 - 1 0
14;15   1 1 1 -

0;1     0 0 0 -
14;15   1 1 1 -
0;2     0 0 - 0
1;5     0 - 0 1
10;14   1 - 1 0
2;10    - 0 1 0

(not x3 and not x2 and not x1) or (x3 and x2 and x1) or (not x3 and not x2 and not x0) or (not x3 and not x1 and x0) or (x3 and x1 and not x0) or (not x2 and x1 and not x0)

        0   1   2   5   10  14  15
0;1     *   *
0;2     *       *
1;5         *       *
2;10            *       *
10;14                   *   *
14;15                           *

Daraus kann man machen

        0   1   2   5   10  14  15
0;1     *   *
0;2     *       *
1;5         *       *
10;14                   *   *
14;15                           *

(not x3 and not x2 and not x1) or (x3 and x2 and x1) or (not x3 and not x2 and not x0) or (not x3 and not x1 and x0) or (x3 and x1 and not x0)


entity mydevice is 
port (
    x3, x2, x1, x0: in bit;
    y: out bit;
);
end;

architecture behaviour of mydevice is 
begin
    y <= (not x3 and not x2 and not x1) or (x3 and x2 and x1) or (not x3 and not x2 and not x0) or (not x3 and not x1 and x0) or (x3 and x1 and not x0);
end behaviour;

Code: Alles auswählen

 0 0 0 0 0    0
 1 0 0 0 1    0
 2 0 0 1 0    0
 3 0 0 1 1    0
 4 0 1 0 0    1
 5 0 1 0 1    1
 6 0 1 1 0    0
 7 0 1 1 1    0
 8 1 0 0 0    0
 9 1 0 0 1    0
10 1 0 1 0    0
11 1 0 1 1    1
12 1 1 0 0    0
13 1 1 0 1    0
14 1 1 1 0    0
15 1 1 1 1    0

 4 0 1 0 0    1
 5 0 1 0 1    1
11 1 0 1 1    1

4;5     0 1 0 - 
11      1 0 1 1

(not x3 and x2 and not x1) or (x3 and not x2 and x1 and x0)

Code: Alles auswählen

 0 0 0 0 0    1
 1 0 0 0 1    1
 2 0 0 1 0    1
 3 0 0 1 1    0
 4 0 1 0 0    0
 5 0 1 0 1    1
 6 0 1 1 0    1
 7 0 1 1 1    1
 8 1 0 0 0    0
 9 1 0 0 1    0
10 1 0 1 0    1
11 1 0 1 1    0
12 1 1 0 0    0
13 1 1 0 1    1
14 1 1 1 0    1
15 1 1 1 1    0


 0 0 0 0 0    1
 1 0 0 0 1    1
 2 0 0 1 0    1
 5 0 1 0 1    1
 6 0 1 1 0    1
 7 0 1 1 1    1
10 1 0 1 0    1
13 1 1 0 1    1
14 1 1 1 0    1

Gruppe 0
 0 0 0 0 0    1
Gruppe 1
 1 0 0 0 1    1
 2 0 0 1 0    1
Gruppe 2
 5 0 1 0 1    1
 6 0 1 1 0    1
10 1 0 1 0    1
Gruppe 3
 7 0 1 1 1    1
13 1 1 0 1    1
14 1 1 1 0    1

0;1     0 0 0 -
0;2     0 0 - 0
5;7     0 1 - 0
1;5     0 - 0 1
2;5     0 - 1 0
10;14   1 - 1 0
2;10    - 0 1 0
5;13    - 1 0 1
6;14    - 1 1 0

0;1     0 0 0 -
1;5     0 - 0 1
5;13    - 1 0 1

0;2;5;7     0 - - 0
2;10;6;14   - - 1 0
2;5;10;14   - - 1 0
0;1         0 0 0 -
1;5         0 - 0 1
5;13        - 1 0 1

            0   1   2   5   6   10  7   13  14
0;2;5;7     *       *   *           *
2;10;6;14           *       *   *           *
2;5;10;14           *   *       *           *
0;1         *   *
1;5             *       *
5;13                    *               *

            0   1   2   5   6   10  7   13  14
0;2;5;7     *       *   *           *
2;10;6;14           *       *   *           *
1;5             *       *
5;13                    *               *

(not x3 and not x0) or (x1 and not x0) or (not x3 and not x1 and x0) or (x2 and not x1 and x0)

Code: Alles auswählen

 0 0 0 0 0    0
 1 0 0 0 1    0
 2 0 0 1 0    1
 3 0 0 1 1    1
 4 0 1 0 0    0
 5 0 1 0 1    0
 6 0 1 1 0    1
 7 0 1 1 1    0
 8 1 0 0 0    1
 9 1 0 0 1    1
10 1 0 1 0    0
11 1 0 1 1    0
12 1 1 0 0    0
13 1 1 0 1    1
14 1 1 1 0    1
15 1 1 1 1    1

 2 0 0 1 0    1
 3 0 0 1 1    1
 6 0 1 1 0    1
 8 1 0 0 0    1
 9 1 0 0 1    1
13 1 1 0 1    1
14 1 1 1 0    1
15 1 1 1 1    1

Gruppe 1
 2 0 0 1 0    1
 8 1 0 0 0    1
Gruppe 2
 9 1 0 0 1    1 
 3 0 0 1 1    1
 6 0 1 1 0    1
Gruppe 3
13 1 1 0 1    1
14 1 1 1 0    1
Gruppe 4
15 1 1 1 1    1

2;3     0 0 0 -
2;6     0 - 1 0
8;9     1 0 0 -
9;13    1 - 0 1
6;14    - 1 1 0
13;15   1 1 - 1
14;15   1 1 1 -



6;14    - 1 1 0
9;13    1 - 0 1
2;6     0 - 1 0
13;15   1 1 - 1
14;15   1 1 1 -
8;9     1 0 0 -
2;3     0 0 0 -

8;9;2;3 - 0 0 -

(x2 and x1 and not x0) or (x3 and not x1 and x0) or (not x3 and x1 and not x0) or (x3 and x2 and not x0) or (x3 and x2 and x0) or (x3 and x2 and x1) or (not x2 and not x1)

Code: Alles auswählen

 0 0 0 0 0    0
 1 0 0 0 1    1
 2 0 0 1 0    1
 3 0 0 1 1    0
 4 0 1 0 0    1
 5 0 1 0 1    0
 6 0 1 1 0    1
 7 0 1 1 1    1
 8 1 0 0 0    0
 9 1 0 0 1    1
10 1 0 1 0    1
11 1 0 1 1    0
12 1 1 0 0    0
13 1 1 0 1    1
14 1 1 1 0    1
15 1 1 1 1    0

 1 0 0 0 1    1
 2 0 0 1 0    1
 4 0 1 0 0    1
 6 0 1 1 0    1
 7 0 1 1 1    1
 9 1 0 0 1    1
10 1 0 1 0    1
13 1 1 0 1    1
14 1 1 1 0    1

Gruppe 1:
 1 0 0 0 1    1
 2 0 0 1 0    1
 4 0 1 0 0    1
Gruppe 2;
 6 0 1 1 0    1
 9 1 0 0 1    1
10 1 0 1 0    1
Gruppe 3:
 7 0 1 1 1    1
13 1 1 0 1    1
14 1 1 1 0    1

2;10    - 0 1 0
6;14    - 1 1 0
1;9     - 0 0 1
2;6     0 - 1 0
9;13    1 - 0 1
10;14   1 - 1 0
4;6     0 1 - 0
6;7     0 1 1 -

2;10;6:14   - - 1 0
2;6;10:14   1 - 1 -
1;9         - 0 0 1
9;13        1 - 0 1
4;6         0 1 - 0
6;7         0 1 1 -

            1   2   4   6   7   9   10  13  14
2;10;6;14       *       *           *       *
1:9         *                   *
4;6                 *   *
9;13                            *       *
6;7                     *   *

(x1 and not x0) or (x3 and x1) or (not x2 and not x1 and x0) or (x3 and not x1 and x0) or (not x3 and x2 and not x0) or (not x3 and x2 and x1)




Code: Alles auswählen

 0 0 0 0     0 0 1 1
 0 0 1 1     1 1 0 1
 1 1 0 1     1 1 0 0
 1 1 0 0     1 0 0 0
 1 0 0 0     1 0 0 1
 1 0 0 1     0 1 0 0
 0 1 0 0     0 1 1 0
 0 1 1 0     0 1 1 1
 0 1 1 1     1 0 1 1
 1 0 1 1     1 0 1 0
 1 0 1 0     0 0 0 1
 0 0 0 1     0 0 0 0

 
 0 0 0 0     0 
 0 0 1 1     1 
 1 1 0 1     1 
 1 1 0 0     1 
 1 0 0 0     1 
 1 0 0 1     0 
 0 1 0 0     0 
 0 1 1 0     0 
 0 1 1 1     1 
 1 0 1 1     1 
 1 0 1 0     0 
 0 0 0 1     0 

 0 0 0 0     0
 0 0 1 1     1
 1 1 0 1     1
 1 1 0 0     0
 1 0 0 0     0
 1 0 0 1     1
 0 1 0 0     1
 0 1 1 0     1
 0 1 1 1     0
 1 0 1 1     0
 1 0 1 0     0
 0 0 0 1     0

 0 0 0 0     1 
 0 0 1 1     0 
 1 1 0 1     0 
 1 1 0 0     0 
 1 0 0 0     0 
 1 0 0 1     0 
 0 1 0 0     1 
 0 1 1 0     1 
 0 1 1 1     1 
 1 0 1 1     1 
 1 0 1 0     0 
 0 0 0 1     0 

 0 0 0 0     1
 0 0 1 1     1
 1 1 0 1     0
 1 1 0 0     0
 1 0 0 0     1
 1 0 0 1     0
 0 1 0 0     0
 0 1 1 0     1
 0 1 1 1     1
 1 0 1 1     0
 1 0 1 0     1
 0 0 0 1     0

Jetzt entwickle ich dafür jeweils ein Schaltnetz


 0 0 1 1     1 
 1 1 0 1     1 
 1 1 0 0     1 
 1 0 0 0     1 
 0 1 1 1     1 
 1 0 1 1     1 

Gruppe 1:
 0 1 0 0 0     1 
Gruppe 2
 1 0 0 1 1     1 
 2 1 1 0 0     1 
Gruppe 3
 3 1 1 0 1     1 
 4 0 1 1 1     1 
 5 1 0 1 1     1 

0;2     1 - 0 0
1;4     0 - 1 1 
2;3     1 1 0 -
1;5     - 0 1 1 

(x3 and not x1 and not x0) or (not x3 and x1 and x0) or (x3 and x2 and not x1) or (not x2 and x1 and x0)


 0 0 1 1     1
 1 1 0 1     1
 1 0 0 1     1
 0 1 0 0     1
 0 1 1 0     1

Gruppe 1
 0 0 1 0 0     1
Gruppe 2
 1 0 1 1 0     1
 2 1 0 0 1     1
 3 0 0 1 1     1
Gruppe 3
 4 1 1 0 1     1
 
0;1     0 1 - 0
2;4     1 - 0 1
3

(not x3 and x2 and not x0) or (x3 and not x1 and x0) or (not x3 and not x2 and x1 and x0)


 0 0 0 0     1 
 0 1 0 0     1 
 0 1 1 0     1 
 0 1 1 1     1 
 1 0 1 1     1 

Gruppe 0
 0  0 0 0 0     1 
Gruppe 1
 1  0 1 0 0     1 
Gurppe 2
 2  0 1 1 0     1 
Gruppe3 
 3  0 1 1 1     1 
 4  1 0 1 1     1 
 
0;1     0 - 0 0
1;2     0 1 - 0
2;3     0 1 1 -
4       1 0 1 1

(not x3 and not x1 and not x0) or (not x3 and x2 and not x0) or (not x3 and x2 and x1) or (x3 and not x2 and x1 and x0)

 0 0 0 0     1
 0 0 1 1     1
 1 0 0 0     1
 0 1 1 0     1
 0 1 1 1     1
 1 0 1 0     1

Gruppe 0
 0  0 0 0 0     1
Gruppe 1
 1  1 0 0 0     1
Gruppe 2
 2  0 0 1 1     1
 3  0 1 1 0     1
 4  1 0 1 0     1
Gruppe 3
 5  0 1 1 1     1
 
0;1     - 0 0 0 
1;4     1 0 - 0
2;5     0 - 1 1
3;5     0 1 1 -

(not x2 and not x1 and not x0) or (x3 and not x2 and not x0) or (not x3 and x1 and x0) or (not x3 and x2 and x1)

Code: Alles auswählen

 0 0 0 0     1 0 0 1
 1 0 0 1     0 0 1 0
 0 0 1 0     1 0 1 1
 1 0 1 1     1 0 0 0
 1 0 0 0     1 1 1 0
 1 1 1 0     0 1 0 0
 0 1 0 0     0 1 0 1
 0 1 0 1     0 1 1 0
 0 1 1 0     1 1 1 1
 1 1 1 1     1 1 0 0
 1 1 0 0     1 1 0 1
 1 1 0 1     0 0 0 1
 0 0 0 1     0 0 0 0

 
 0 0 0 0     1
 1 0 0 1     0
 0 0 1 0     1
 1 0 1 1     1
 1 0 0 0     1
 1 1 1 0     0
 0 1 0 0     0
 0 1 0 1     0
 0 1 1 0     1
 1 1 1 1     1
 1 1 0 0     1
 1 1 0 1     0
 0 0 0 1     0

 
 0 0 0 0     0
 1 0 0 1     0
 0 0 1 0     0
 1 0 1 1     0
 1 0 0 0     1
 1 1 1 0     1
 0 1 0 0     1
 0 1 0 1     1
 0 1 1 0     1
 1 1 1 1     1
 1 1 0 0     1
 1 1 0 1     0
 0 0 0 1     0

 
 0 0 0 0     0
 1 0 0 1     1
 0 0 1 0     1
 1 0 1 1     0
 1 0 0 0     1
 1 1 1 0     0
 0 1 0 0     0
 0 1 0 1     1
 0 1 1 0     1
 1 1 1 1     0
 1 1 0 0     0
 1 1 0 1     0
 0 0 0 1     0

 
 0 0 0 0     1
 1 0 0 1     0
 0 0 1 0     1
 1 0 1 1     0
 1 0 0 0     0
 1 1 1 0     0
 0 1 0 0     1
 0 1 0 1     0
 0 1 1 0     1
 1 1 1 1     0
 1 1 0 0     1
 1 1 0 1     1
 0 0 0 1     0

 
 
1 0 0 0 0     1
2 0 0 1 0     1
3 1 0 1 1     1
4 1 0 0 0     1
5 0 1 1 0     1
6 1 1 1 1     1
7 1 1 0 0     1

1 1 0 0 0     1
2 1 1 1 0     1
3 0 1 0 0     1
4 0 1 0 1     1
5 0 1 1 0     1
6 1 1 1 1     1
7 1 1 0 0     1

 
1 1 0 0 1     1
2 0 0 1 0     1
3 1 0 0 0     1
4 0 1 0 1     1
5 0 1 1 0     1

 
1 0 0 0 0     1
2 0 0 1 0     1
3 0 1 0 0     1
4 0 1 1 0     1
5 1 1 0 0     1
6 1 1 0 1     1


Gruppe 0
1 0 0 0 0     1
Gruppe 1
2 0 0 1 0     1
4 1 0 0 0     1
Gruppe 2
5 0 1 1 0     1
7 1 1 0 0     1
Gruppe 3
3 1 0 1 1     1
Gruppe 4
6 1 1 1 1     1

1;2     0 0 - 0
1;4     - 0 0 0 
2;5     0 - 1 0
4;7     1 - 0 0 
3;6     1 - 1 1


1;4     - 0 0 0 
2;5     0 - 1 0
4;7     1 - 0 0 
3;6     1 - 1 1
1;2     0 0 - 0

        1   2   3   4   5   6   7
1;4     *           *
2;5         *           *
4;7                 *           *
3;6             *           *
1;2     *   *


        1   2   3   4   5   6   7
1;4     *           *
2;5         *           *
4;7                 *           *
3;6             *           *

(not x2 and not x1 and not x0) or (not x3 and x1 and not x0) or (x3 and not x1 and not x0) or (x3 and x1 and x0)

Gruppe 1:
1 1 0 0 0     1
3 0 1 0 0     1
Gruppe 2:
4 0 1 0 1     1
5 0 1 1 0     1
7 1 1 0 0     1
Gruppe 3:
2 1 1 1 0     1
Gruppe 4:
6 1 1 1 1     1

5;2     - 1 1 0
1;7     1 - 0 0 
3;5     0 1 - 0
7;2     1 1 - 0
2;6     1 1 1 -
3;4     0 1 0 -

5;2         - 1 1 0
1;7         1 - 0 0
3;5;7;2     - 1 - 0
2;6         1 1 1 -
3;4         0 1 0 -

        1   2   3   4   5   6   7
5;2         *           *
1;7     *                       *
3;5;7;2     *   *       *       *
2;6         *               *
3;4             *   *

        1   2   3   4   5   6   7
1;7     *                       *
3;5;7;2     *   *       *       *
2;6         *               *
3;4             *   *

(x3 and not x1 and not x0) or (x2 and not x0) or (x3 and x2 and x1) or (not x3 and x2 and not x1)


Gruppe 1:
2 0 0 1 0     1
3 1 0 0 0     1

Gruppe 2:
1 1 0 0 1     1
4 0 1 0 1     1
5 0 1 1 0     1

2;5     0 - 1 0
3;1     1 0 0 -
4       0 1 0 1

(not x3 and x1 and not x0) or (x3 and not x2 and not x1) or (not x3 and x2 and not x1 and x0)

1 0 0 0 0     1
2 0 0 1 0     1
3 0 1 0 0     1
4 0 1 1 0     1
5 1 1 0 0     1
6 1 1 0 1     1

Gruppe 0
1 0 0 0 0     1
Gruppe 1
2 0 0 1 0     1
3 0 1 0 0     1
Gruppe 2
4 0 1 1 0     1
5 1 1 0 0     1
Gruppe 3
6 1 1 0 1     1


3;5     - 1 0 0
2;4     0 - 1 0
3;4     0 1 - 0 
1;2     0 0 - 0 
5;6     1 1 0 -

        1   2   3   4   5   6
3;5             *       *
2;4         *       *
3;4             *   *
1;2     *   *
5;6                     *   *

        1   2   3   4   5   6
3;5             *       *
2;4         *       *
1;2     *   *
5;6                     *   *

(x2 and not x1 and not x0) or (not x3 and x1 and not x0) or (not x3 and not x2 and not x0) or (x3 and x2 and not x1)

Code: Alles auswählen

 0 0 0 0     0 1 0 0
 0 1 0 0     1 1 0 0
 1 1 0 0     0 0 1 0
 0 0 1 0     1 0 0 0
 1 0 0 0     0 1 1 0
 0 1 1 0     1 0 1 0
 1 0 1 0     1 1 0 1
 1 1 0 1     1 0 0 1
 1 0 0 1     1 1 1 1
 1 1 1 1     0 0 1 1
 0 0 1 1     0 0 0 1
 0 0 0 1     1 1 1 0
 1 1 1 0     0 1 1 1
 0 1 1 1     0 1 0 1
 0 1 0 1     0 0 0 0

 0 0 0 0     0
 0 1 0 0     1
 1 1 0 0     0
 0 0 1 0     1
 1 0 0 0     0
 0 1 1 0     1
 1 0 1 0     1
 1 1 0 1     1
 1 0 0 1     1
 1 1 1 1     0
 0 0 1 1     0
 0 0 0 1     1
 1 1 1 0     0
 0 1 1 1     0
 0 1 0 1     0

 0 0 0 0     1
 0 1 0 0     1
 1 1 0 0     0
 0 0 1 0     0
 1 0 0 0     1
 0 1 1 0     0
 1 0 1 0     1
 1 1 0 1     0
 1 0 0 1     1
 1 1 1 1     0
 0 0 1 1     0
 0 0 0 1     1
 1 1 1 0     1
 0 1 1 1     1
 0 1 0 1     0

 
 0 0 0 0     0
 0 1 0 0     0
 1 1 0 0     1
 0 0 1 0     0
 1 0 0 0     1
 0 1 1 0     1
 1 0 1 0     0
 1 1 0 1     0
 1 0 0 1     1
 1 1 1 1     1
 0 0 1 1     0
 0 0 0 1     1
 1 1 1 0     1
 0 1 1 1     0
 0 1 0 1     0
 
 0 0 0 0     0
 0 1 0 0     0
 1 1 0 0     0
 0 0 1 0     0
 1 0 0 0     0
 0 1 1 0     0
 1 0 1 0     1
 1 1 0 1     1
 1 0 0 1     1
 1 1 1 1     1
 0 0 1 1     1
 0 0 0 1     0
 1 1 1 0     1
 0 1 1 1     1
 0 1 0 1     0

 

 0 1 0 0     1
 0 0 1 0     1
 0 1 1 0     1
 1 0 1 0     1
 1 1 0 1     1
 1 0 0 1     1
 0 0 0 1     1

Gruppe 1

 0 1 0 0     1
 0 0 1 0     1
 0 0 0 1     1

Gruppe 2

 0 1 1 0     1
 1 0 1 0     1
 1 0 0 1     1

Gruppe 3

 1 1 0 1     1
 
 
Gruppe 1

 1 0 1 0 0     1
 2 0 0 1 0     1
 3 0 0 0 1     1

Gruppe 2

 4 0 1 1 0     1
 5 1 0 1 0     1
 6 1 0 0 1     1

Gruppe 3

 7 1 1 0 1     1
 
 1;4    0 1 - 0
 2;5    - 0 1 0
 3;6    - 0 0 1
 6;7    1 - 0 1
 
(not x3 and x2 and not x0) or (not x3 and x1 and x0) or (not x2 and not x1 and x0) or (x3 and not x1 and x0)

 0 0 0 0     1
 0 1 0 0     1
 1 0 0 0     1
 1 0 1 0     1
 1 0 0 1     1
 0 0 0 1     1
 1 1 1 0     1
 0 1 1 1     1

Gruppe 0
 0 0 0 0     1
Gruppe 1
 0 0 0 1     1
 0 1 0 0     1
 1 0 0 0     1
Gruppe 2
 1 0 1 0     1
 1 0 0 1     1
Gruppe 3
 1 1 1 0     1
 0 1 1 1     1

Gruppe 0
 1 0 0 0 0     1
Gruppe 1
 2 0 0 0 1     1
 3 0 1 0 0     1
 4 1 0 0 0     1
Gruppe 2
 5 1 0 1 0     1
 6 1 0 0 1     1
Gruppe 3
 7 1 1 1 0     1
 8 0 1 1 1     1
 
!;2     0 0 0 -
1;3     0 - 0 0 
1;4     - 0 0 0
2;6     1 0 0 -
4;5     1 0 - 0
4;6     1 0 0 -
5;7     1 - 1 0
8       0 1 1 1

        1   2   3   4   5   6   7   8
1;2     *   *
1;3     *       *
1;4     *           *
2;6         *               *
4;6                 *       *
4;5                     *   *
5;7                     *       *
8                                   *


        1   2   3   4   5   6   7   8
1;2     *   *
1;3     *       *
4;6                 *       *
5;7                     *       *
8                                   *

(not x3 and not x2 and not x1) or

Was vergessen:

1;2     0 0 0 -
2;6     1 0 0 -
4;6     1 0 0 -
1;3     0 - 0 0 
5;7     1 - 1 0
4;5     1 0 - 0
1;4     - 0 0 0
8       0 1 1 1

1;2;2;6     - 0 0 -


        1   2   3   4   5   6   7   8
1;2;2;6 *   *               *
1;3     *       *
1;4     *           *
4;5                     *   *
5;7                     *       *
8                                   *



(not x3 and not x2 and not x1) or (x3 and not x2 and not x1) or (not x3 and not x1 and not x0) or (x3 and x1 and not x0) or (x3 and not x2 and not x0) or (not x2 and not x1 and not x0) or (not x3 and x2 and x1 and x0)

...
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