Re: Alte Quine Mc Cluskeys und Übungen.

        b a x   b a y
0       0 0 0   1 0 0
1       0 0 1   0 1 0
2       0 1 0   1 0 1
3       0 1 1   1 1 0
4       1 0 0   1 0 1
5       1 0 1   0 1 1
6       1 1 0   1 0 1
7       1 1 1   1 1 0


        b a x   b
0       0 0 0   1
1       0 0 1   0
2       0 1 0   1
3       0 1 1   1
4       1 0 0   1
5       1 0 1   0
6       1 1 0   1
7       1 1 1   1

        b a x   a
0       0 0 0   0
1       0 0 1   1
2       0 1 0   0
3       0 1 1   1
4       1 0 0   0
5       1 0 1   1
6       1 1 0   0
7       1 1 1   1

        b a x   y
0       0 0 0   0
1       0 0 1   0
2       0 1 0   1
3       0 1 1   0
4       1 0 0   1
5       1 0 1   1
6       1 1 0   1
7       1 1 1   0


        b a x   b
0       0 0 0   1
2       0 1 0   1
3       0 1 1   1
4       1 0 0   1
6       1 1 0   1
7       1 1 1   1

        b a x   a
1       0 0 1   1
3       0 1 1   1
5       1 0 1   1
7       1 1 1   1

        b a x   y
2       0 1 0   1
4       1 0 0   1
5       1 0 1   1
6       1 1 0   1


        b a x   b
Gruppe 0:
0       0 0 0   1
Gruppe 1:
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
3       0 1 1   1
6       1 1 0   1
Gruppe 3:
7       1 1 1   1

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

Gruppe 0:
0;2     0 - 0
Gruppe 1:
4;6     1 - 0

0;2;4;6     - - 0

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

0;4;2;3     - - 0

Gruppe 1:
2;3     0 1 -
Gruppe 2:
6;7     1 1 -

2;3;6;7     - 1 -

3;7     - 1 1

            0   2   3   4   6   7
3;7                 *           *
2;3;6;7         *   *       *   *
0;4;2;3     *   *   *   *
0;2;4;6     *   *       *   *


            0   2   3   4   6   7
2;3;6;7         *   *       *   *
0;2;4;6     *   *       *   *

b := a or not x


        b a x   a
Gruppe 1:
1       0 0 1   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1
Gruppe 3:
7       1 1 1   1

1;3     0 - 1
1;5     - 0 1
3;7     - 1 1
5;7     1 - 1

Gruppe 1:
1;5     - 0 1
Gruppe 2:
3;7     - 1 1

1;5;3;7     - - 1

Gruppe 1:
1;3     0 - 1
Gruppe 2:
5;7     1 - 1

1;3;5;7     - - 1

a := x;


        b a x   y
Gruppe 1:
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
5       1 0 1   1
6       1 1 0   1

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

2;6;
4;5

y := (b and not x) or (b and not a);

b := a or not x
a := x;
y := (b and not x) or (b and not a);

        b a x   b a y
0       0 0 0   1 1 1
1       0 0 1   0 0 1
2       0 1 0   1 0 0
3       0 1 1   1 1 1
4       1 0 0   1 0 0
5       1 0 1   1 1 0
6       1 1 0   0 1 1
7       1 1 1   1 1 0


        b a x   b
0       0 0 0   1
1       0 0 1   0
2       0 1 0   1
3       0 1 1   1
4       1 0 0   1
5       1 0 1   1
6       1 1 0   0
7       1 1 1   1

        b a x   a
0       0 0 0   1
1       0 0 1   0
2       0 1 0   0
3       0 1 1   1
4       1 0 0   0
5       1 0 1   1
6       1 1 0   1
7       1 1 1   1

        b a x   y
0       0 0 0   1
1       0 0 1   1
2       0 1 0   0
3       0 1 1   1
4       1 0 0   0
5       1 0 1   0
6       1 1 0   1
7       1 1 1   0



        b a x   b
0       0 0 0   1
2       0 1 0   1
3       0 1 1   1
4       1 0 0   1
5       1 0 1   1
7       1 1 1   1

        b a x   a
0       0 0 0   1
3       0 1 1   1
5       1 0 1   1
6       1 1 0   1
7       1 1 1   1

        b a x   y
0       0 0 0   1
1       0 0 1   1
3       0 1 1   1
6       1 1 0   1



        b a x   b
Gruppe 0:
0       0 0 0   1
Gruppe 1:
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1
Gruppe 3:
7       1 1 1   1

        b a x   a
Gruppe 0:
0       0 0 0   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1
6       1 1 0   1
Gruppe 3:
7       1 1 1   1

        b a x   y
Gruppe 0:
0       0 0 0   1
Gruppe 1:
1       0 0 1   1
Gruppe 2:
3       0 1 1   1
6       1 1 0   1




        b a x   b
Gruppe 0:
0       0 0 0   1
Gruppe 1:
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1
Gruppe 3:
7       1 1 1   1

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

b := (not b and not x) or (b and x) or (not a and not x) or (a and x) or (not b and a) or (a and not b)


        b a x   a
Gruppe 0:
0       0 0 0   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1
6       1 1 0   1
Gruppe 3:
7       1 1 1   1

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

a := (not b and not a and not x) or (a and x) or (b and x) or (b and a)


        b a x   y
Gruppe 0:
0       0 0 0   1
Gruppe 1:
1       0 0 1   1
Gruppe 2:
3       0 1 1   1
6       1 1 0   1

0;1     0 0 -
1;3     0 - 1
6       1 1 0

y := (not b and not a) or (not b and x) or (b and a and not x)



b := (not b and not x) or (b and x) or (not a and not x) or (a and x) or (not b and a) or (a and not b)
a := (not b and not a and not x) or (a and x) or (b and x) or (b and a)
y := (not b and not a) or (not b and x) or (b and a and not x)