Re: Aufgaben und Übungen,

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

        b a x   y
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   0




        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
0       0 0 0   1
2       0 1 0   1
3       0 1 1   1
6       1 1 0   1
7       1 1 1   1

        b a x   y
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




        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 0:
0       0 0 0   1
Gruppe 1:
2       0 1 0   1
Gruppe 2:
3       0 1 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:
2       0 1 0   1
4       1 0 0   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 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 and not x) or (a and x) or (b and x)

        b a x   a
Gruppe 0:
0       0 0 0   1
Gruppe 1:
2       0 1 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
2;3     0 1 -
2;6     - 1 0
3;7     - 1 1
6;7     1 1 -

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

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

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




        b a x   y
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

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


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

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

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


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

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


        b a x   b
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   1
6       1 1 0   1
7       1 1 1   1

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




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

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

        b a x   y
1       0 0 1   1
3       0 1 1   1
7       1 1 1   1



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

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



        b a x   b
Gruppe 0:
0       0 0 0   1
Gruppe 1:
1       0 0 1   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;1     0 0 -
1;3     0 - 1
1;5     - 0 1
3;7     - 1 1
5;7     1 - 1
6;7     1 1 -


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

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

        0   1   3   5   6   7
0;1     *   *
6;7                     *   *
1;5;3;7     *   *   *       *

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


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

0;2     0 - 0
5;7     1 - 1

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

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

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

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


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

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


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

        b a x   y
0       0 0 0   1
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   0
7       1 1 1   0




        b a x   b
0       0 0 0   1
1       0 0 1   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
7       1 1 1   1

        b a x   y
0       0 0 0   1
2       0 1 0   1



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

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




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

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

        0   1   5   7
0;1     *   *
1;5         *   *
5;7             *   *

        0   1   5   7
0;1     *   *
5;7             *   *

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

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

0           0 0 0
3;7         - 1 1

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

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

0;2     0 - 0

y <- (not b and not x)


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

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


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



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



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

        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

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



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

1;3     0 - 1
2;3     0 1 -
2;6     - 1 0

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

1;3;5;7 - - 1

a <- x

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

0;1     0 0 -
0;4     - 0 0
1;3     0 - 1
4;6     1 - 0

        0   1   3   4   6
0;1     *   *
0;4     *           *
1;3         *   *
4;6                 *   *


        0   1   3   4   6
0;4     *           *
1;3         *   *
4;6                 *   *

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


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