Nächste Seite: Re: Alte Quine Mc Aufwärts: Graphen, Schaltwerke und Zahlen Vorherige Seite: Re: Aufgaben und Übungen,
b a x b a y
0 0 0 0 0 0 0
1 0 0 1 1 1 1
2 0 1 0 0 1 0
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 1 1 1
b a x b
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 a
0 0 0 0 0
1 0 0 1 1
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 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 1
b a x b
1 0 0 1 1
3 0 1 1 1
7 1 1 1 1
b a x a
1 0 0 1 1
2 0 1 0 1
4 1 0 0 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
7 1 1 1 1
b a x b
Gruppe 1
1 0 0 1 1
Gruppe 2
3 0 1 1 1
Grupppe 3
7 1 1 1 1
b a x a
Gruppe 1
1 0 0 1 1
2 0 1 0 1
4 1 0 0 1
Gruppe 2
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
Gruppe 3
7 1 1 1 1
b a x b
Gruppe 1
1 0 0 1 1
Gruppe 2
3 0 1 1 1
Grupppe 3
7 1 1 1 1
1;3 0 - 1
3;7 - 1 1
b := (not b and x) or (a and x)
b a x a
Gruppe 1
1 0 0 1 1
2 0 1 0 1
4 1 0 0 1
Gruppe 2
6 1 1 0 1
Gruppe 3
7 1 1 1 1
1 0 0 1
2;6 - 1 0
4;6 1 - 0
6;7 1 1 -
a := (not b and not a and x) or (a and not x) or (b and not 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
Gruppe 3
7 1 1 1 1
1;5 1 0 -
1;3 0 - 1
4;5 - 0 0
5;7 1 - 1
3;7 - 1 1
1;5 1 0 -
1;3 0 - 1
5;7 1 - 1
3;7 - 1 1
4;5 - 0 0
1;3;5;7 - - 1
1 3 4 5 7
1;5 * *
1;3 * *
5;7 * *
3;7 * *
4;6 * *
1 3 4 5 7
1;5 * *
3;7 * *
4;6 * *
y := (b and not a) or (a and x) or (not a and not x)
b := (not b and x) or (a and x)
a := (not b and not a and x) or (a and not x) or (b and not x) or (b and a)
b a x b a y
0 0 0 0 0 0 1
1 0 0 1 1 1 0
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 0 0
6 1 1 0 0 0 0
7 1 1 1 1 0 1
b a x b
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 a
0 0 0 0 0
1 0 0 1 1
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 y
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 b
1 0 0 1 1
3 0 1 1 1
5 1 0 1 1
7 1 1 1 1
b a x a
1 0 0 1 1
2 0 1 0 1
b a x y
0 0 0 0 1
3 0 1 1 1
7 1 1 1 1
b a x b
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 a
Gruppe 1:
1 0 0 1 1
2 0 1 0 1
b a x y
Gruppe 0:
0 0 0 0 1
Gruppe 2:
3 0 1 1 1
Gruppe 3:
7 1 1 1 1
b a x b
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 0 - 1
5;7 1 - 1
1;5 - 0 1
3;7 - 1 1
1;3;5;7 - - 1
1;5;3;7 - - 1
b := x
b a x a
Gruppe 1:
1 0 0 1 1
2 0 1 0 1
a := (not b and not a and x) or (not b and a and not x)
b a x y
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
y := (not b and not a and not x) or (a and x)
b := x
a := (not b and not a and x) or (not b and a and not x)
y := (not b and not a and not x) or (a and x)
b a x b a y
0 0 0 0 1 1 1
1 0 0 1 0 1 0
2 0 1 0 0 0 1
3 0 1 1 1 1 0
4 1 0 0 0 0 1
5 1 0 1 1 1 1
6 1 1 0 1 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 1
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 1
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 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
6 1 1 0 1
b a x a
0 0 0 0 1
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
2 0 1 0 1
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
6 1 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) or (b and a and not 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
5 1 0 1 1
Grupe 3:
7 1 1 1 1
0;1 0 0 -
1;3 0 - 1
5;7 1 - 1
1;5 - 0 1
3;7 - 1 1
0;1 0 0 -
1;3;5;7 - - 1
1;5;3;7 - - 1
a := (not b and not a) or 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:
5 1 0 1 1
6 1 1 0 1
Gruppe 3:
7 1 1 1 1
0;2 0 - 0
0;4 - 0 0
2;6 - 1 0
4;5 1 0 -
4;6 1 - 0
5;7 1 - 1
6;7 1 1 -
Gruppe 2:
6;7 1 1 -
Gruppe 1:
4;5 1 0 -
6;7;4;5 1 - -
Gruppe 0:
0;2 0 - 0
Gruppe 1:
4;6 1 - 0
Gruppe 2:
5;7 1 - 1
0;2;4;6 - - 0
4;6;5;7 1 - -
Gruppe 0:
0;4 - 0 0
Gruppe 1:
2;6 - 1 0
0;4;2;6 - - 0
y := not x or b
b := (not b and not a and not x) or (not b and a and x) or (b and not a and x) or (b and a and not x)
a := (not b and not a) or x
y := not x or b
b a x b a y
0 0 0 0 0 0 0
1 0 0 1 1 0 0
2 0 1 0 0 0 1
3 0 1 1 1 1 0
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 1
b a x b
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 1
7 1 1 1 0
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 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 0
6 1 1 0 1
7 1 1 1 1
b a x b
1 0 0 1 1
3 0 1 1 1
6 1 1 0 1
b a x a
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
6 1 1 0 1
7 1 1 1 1
b a x b
Gruppe 1:
1 0 0 1 1
Gruppe 2:
3 0 1 1 1
6 1 1 0 1
b a x a
Gruppe 2:
3 0 1 1 1
5 1 0 1 1
Gruppe 3:
7 1 1 1 1
b a x y
Gruppe 1:
2 0 1 0 1
4 1 0 0 1
Gruppe 2:
6 1 1 0 1
Gruppe 3:
7 1 1 1 1
b a x b
Gruppe 1:
1 0 0 1 1
Gruppe 2:
3 0 1 1 1
6 1 1 0 1
1;3 0 - 1
6 1 1 0
b := (not b and x) or (b and a and not x)
b a x a
Gruppe 2:
3 0 1 1 1
5 1 0 1 1
Gruppe 3:
7 1 1 1 1
3;7 - 1 1
5;7 1 - 1
a := (a and x) or (b and x)
b a x y
Gruppe 1:
2 0 1 0 1
4 1 0 0 1
Gruppe 2:
6 1 1 0 1
Gruppe 3:
7 1 1 1 1
2;6 - 1 0
4;6 1 - 0
6;7 1 1 -
y := (a and not x) or (b and not x) or (b and a)
b := (not b and x) or (b and a and not x)
a := (a and x) or (b and x)
y := (a and not x) or (b and not x) or (b and a)
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 1
3 0 1 1 0 1 0
4 1 0 0 1 1 1
5 1 0 1 0 1 1
6 1 1 0 0 0 0
7 1 1 1 1 0 0
b a x b
0 0 0 0 0
1 0 0 1 1
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 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 1
5 1 0 1 1
6 1 1 0 0
7 1 1 1 0
b a x y
0 0 0 0 1
1 0 0 1 1
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 0
b a x b
1 0 0 1 1
2 0 1 0 1
4 1 0 0 1
7 1 1 1 1
b a x a
1 0 0 1 1
3 0 1 1 1
4 1 0 0 1
5 1 0 1 1
b a x y
0 0 0 0 1
1 0 0 1 1
2 0 1 0 1
4 1 0 0 1
5 1 0 1 1
b a x b
Gruppe 1:
1 0 0 1 1
2 0 1 0 1
4 1 0 0 1
Gruppe 3:
7 1 1 1 1
b a x a
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 y
Gruppe 0:
0 0 0 0 1
Gruppe 1:
1 0 0 1 1
2 0 1 0 1
4 1 0 0 1
Gruppe 2:
5 1 0 1 1
b a x b
Gruppe 1:
1 0 0 1 1
2 0 1 0 1
4 1 0 0 1
Gruppe 3:
7 1 1 1 1
b := (not b and not a and x) or (not b and a and not x) or (b and not a and not x) or (b and a and x)
b a x a
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 * *
a := (not b and x) or (b and not a)
b a x y
Gruppe 0:
0 0 0 0 1
Gruppe 1:
1 0 0 1 1
2 0 1 0 1
4 1 0 0 1
Gruppe 2:
5 1 0 1 1
0;1 0 0 -
0;2 0 - 0
0;4 - 0 0
1;5 - 0 1
4;5 1 0 -
0;1 0 0 -
4;5 1 0 -
0;2 0 - 0
0;4 - 0 0
1;5 - 0 1
0;1;4;5 - 0 -
0;4;1;5 - 0 -
0;2 0 - 0
y := (not a) or (not b and not x)
b := (not b and not a and x) or (not b and a and not x) or (b and not a and not x) or (b and a and x)
a := (not b and x) or (b and not a)
y := (not a) or (not b and not x)
b a x b a y
0 0 0 0 0 1 0
1 0 0 1 0 0 1
2 0 1 0 0 1 0
3 0 1 1 1 1 1
4 1 0 0 0 0 0
5 1 0 1 1 0 0
6 1 1 0 0 1 1
7 1 1 1 1 1 1
b a x b
0 0 0 0 0
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 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 1
7 1 1 1 1
b a x b
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
1 0 0 1 1
3 0 1 1 1
6 1 1 0 1
7 1 1 1 1
b a x b
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 1:
1 0 0 1 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 2:
3 0 1 1 1
5 1 0 1 1
Gruppe 3:
7 1 1 1 1
2;7 - 1 1
5;7 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
0;2 0 - 1
2;3 0 1 -
2;6 - 1 0
3;7 - 1 1
6;7 1 1 -
2;3 0 1 -
6;7 1 1 -
0;2 0 - 1
2;6 - 1 0
3;7 - 1 1
2;3;6;7 - 1 _
2;6;3;7 - 1 -
0;2 0 - 1
b a x y
Gruppe 1:
1 0 0 1 1
Gruppe 2:
3 0 1 1 1
6 1 1 0 1
Gruppe 3:
7 1 1 1 1
1;3 0 - 1
3;7 - 1 1
6;7 1 1 -
1 3 6 7
1;3 * *
3;7 * *
6;7 * *
1 3 6 7
1;3 * *
6;7 * *
b a x b
Gruppe 2:
3 0 1 1 1
5 1 0 1 1
Gruppe 3:
7 1 1 1 1
2;7 - 1 1
5;7 1 - 1
b := (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 - 1
2;3 0 1 -
2;6 - 1 0
3;7 - 1 1
6;7 1 1 -
2;3 0 1 -
6;7 1 1 -
0;2 0 - 1
2;6 - 1 0
3;7 - 1 1
2;3;6;7 - 1 _
2;6;3;7 - 1 -
0;2 0 - 1
a := a or (not b and x)
b a x y
Gruppe 1:
1 0 0 1 1
Gruppe 2:
3 0 1 1 1
6 1 1 0 1
Gruppe 3:
7 1 1 1 1
1;3 0 - 1
3;7 - 1 1
6;7 1 1 -
1 3 6 7
1;3 * *
3;7 * *
6;7 * *
1 3 6 7
1;3 * *
6;7 * *
y := (not b and x) or (b and a)
b := (a and x) or (b and x)
a := a or (not b and x)
y := (not b and x) or (b and a)
b a x b a y
0 0 0 0 0 1 1
1 0 0 1 0 0 1
2 0 1 0 1 0 0
3 0 1 1 0 1 0
4 1 0 0 0 0 1
5 1 0 1 1 1 0
6 1 1 0 0 0 0
7 1 1 1 0 1 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 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 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 y
0 0 0 0 1
1 0 0 1 1
2 0 1 0 0
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
Gruppe 2:
2 0 1 0 1
5 1 0 1 1
y := (not b and a and not x) or (b and not a and x)
b a x a
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
a := (not b and not a and not x) or (a and x) or (b and 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 3:
7 1 1 1 1
0;1 0 0 -
0;4 - 0 0
7 1 1 1
y := (not b and not a) or (not a and not x) or (a and b and c)
y := (not b and a and not x) or (b and not a and x)
a := (not b and not a and not x) or (a and x) or (b and x)
y := (not b and not a) or (not a and not x) or (a and b and c)