/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/aufgaben-2022-03-07/rechne0003.txt


Addiere und subtrahiere folgende Zahlen

          -441
           431
          -265
           -33
           219
           -14
        ------
Wandle folgende Zahl in eine Fliesskommazahl um
          3962

-441 -431 -265

441/2 = 220     Rest 1
220/2 = 110     Rest 0
110/2 = 55      Rest 0
55/2 = 27       Rest 1
27/2 = 13       Rest 1
13/2 = 6        Rest 1
6/2 = 3         Rest 0
3/2 = 1         Rest 1
1/2 = 0         Rest 1

1.1011.1001

-431/2 = 215    Rest 1
215/2 = 107     Rest 1
107/2 = 53      Rest 1
53/2 = 26       Rest 1
26/2 = 13       Rest 0
13/2 = 6        Rest 1
6/2 = 3         Rest 0
3/2 = 1         Rest 1
1/2 = 0         Rest 1

1.1010.1111

265/2 = 132     Rest 1
132/2 = 66      Rest 0
66/2 = 33       Rest 0
33/2 = 16       Rest 1
16/2 = 8        Rest 0
8/2 = 4         Rest 0
4/2 = 2         Rest 0
2/2 = 1         Rest 0
1/2 = 0         Rest 1

1.0000.1001


1.1011.1001
1.1010.1111
1.0000.1001


erweitern:

0001.1011.1001
0001.1010.1111
0001.0000.1001

1er Komplement 

1110.0100.0110
1110.0101.0000
1110.1111.0110

2er Komplement

1110.0100.0111
1110.0101.0001
1110.1111.0111

Addieren


1110.0100.0111
1110.0101.0001
--------------
1100.1001.1000
1110.1111.0111
--------------
1011.1000.1111

-2048+512+256+128+8+4+2+1 = -1137

richtig.