Re: Aufgaben und Übungen,

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


        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   0

        b a x   a
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   0
7       1 1 1   1

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



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

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

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

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

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

0       0 0 0
3       0 1 1
5       1 0 1

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

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

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

        0   1   3   7
0;1     *   *
1;3         *   *
3;7             *   *

        0   1   3   7
0;1     *   *
3;7             *   *

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


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

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

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

4;5;6;7     1 - -
4;6;5;7     1 - -

y <- b


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

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


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

        b a x   y
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   1



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

        b a x   a
1       0 0 1   1
5       1 0 1   1

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


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

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

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

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

1;5     - 0 1

a <- (not a and x)

        b a x   y
Gruppe 1:
1       0 0 1   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

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


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

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

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


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

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

        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   1
5       1 0 1   0
6       1 1 0   1
7       1 1 1   0

        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   1
6       1 1 0   0
7       1 1 1   0



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

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



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

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



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

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

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

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

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

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

0;4;2;6     - - 0

a <- (not x)



        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
5       1 0 1   1

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

        0   2   3   4   5
0;2     *   *
0;4     *           *
2;3         *   *
4;5                 *   *

        0   2   3   4   5
0;2     *   *
2;3         *   *
4;5                 *   *

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


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

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


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

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



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

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

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

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

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

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

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

        0   2   4   5   7
0;2     *   *
5;7                 *   *
0;4     *       *
4;5             *   *

        0   2   4   5   7
0;2     *   *
5;7                 *   *
0;4     *       *

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

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

4;6     1 - 0
3       0 1 1

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

        b a x   y
Gruppe 1:
1       0 0 1   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

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


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

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

y <- (not b and x) or a



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

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



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



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

        b a x   a
Gruppe0:
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 1:
1       0 0 1   1
4       1 0 0   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1




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

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

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

        b a x   a
Gruppe0:
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 <- (a and x) or (b and x) or (b and a)

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

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

        1   3   4   5
1;3     *   *
1;5     *           *
4;5             *   *

        1   3   4   5
1;3     *   *
4;5             *   *

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



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