/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-02/20220411aufgabe/synthese001.txt

david@www2:~$ gcc aufg-synthese-analyse.c 
david@www2:~$ ./a.out
        b a x   b a y
0       0 0 0   1 0 0
1       0 0 1   0 0 0
2       0 1 0   0 1 1
3       0 1 1   1 0 0
4       1 0 0   0 0 1
5       1 0 1   1 0 0
6       1 1 0   0 1 0
7       1 1 1   1 0 1
david@www2:~$ 


        b a x   b
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   0
7       1 1 1   1

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

        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   0
6       1 1 0   0
7       1 1 1   1



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

        b a x   a
2       0 1 0   1
6       1 1 0   1

        b a x   y
2       0 1 0   1
4       1 0 0   1
7       1 1 1   1


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

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


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

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

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

2;6     - 1 0

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

2       0 1 0
4       1 0 0
7       1 1 1


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

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

b <- (not b and not a and not x) or (a and x) or (b and x)

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

2;6     - 1 0

a <- (a and not x)

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

2       0 1 0
4       1 0 0
7       1 1 1

y <- (not b and a and not x) or (b and not a and not x) or (b and a and x)


b <- (not b and not a and not x) or (a and x) or (b and x)
a <- (a and not x)
y <- (not b and a and not x) or (b and not a and not x) or (b and a and x)