LU05.L01 - Binär- und Dezimalsystem

Aufgabe 1

145 

145 : 2 =  72  Rest: 1
 72 : 2 =  36  Rest: 0
 36 : 2 =  18  Rest: 0
 18 : 2 =   9  Rest: 0
  9 : 2 =   4  Rest: 1
  4 : 2 =   2  Rest: 0
  2 : 2 =   1  Rest: 0
  1 : 2 =   0  Rest: 1
Resultat: 10010001

0 

0 : 2 = 0  Rest: 0
Resultat: 0

322 

322 : 2 = 161  Rest: 0
161 : 2 =  80  Rest: 1
 80 : 2 =  40  Rest: 0
 40 : 2 =  20  Rest: 0
 20 : 2 =  10  Rest: 0
 10 : 2 =   5  Rest: 0
  5 : 2 =   2  Rest: 1
  2 : 2 =   1  Rest: 0
  1 : 2 =   0  Rest: 1
Resultat: 101000010

57 

57 : 2 = 28  Rest: 1     
28 : 2 = 14  Rest: 0      
14 : 2 =  7  Rest: 0       
 7 : 2 =  3  Rest: 1       
 3 : 2 =  1  Rest: 1       
 1 : 2 =  0  Rest: 1       
Resultat: 111001

29 

29 : 2 = 14  Rest: 1      
14 : 2 =  7  Rest: 0       
 7 : 2 =  3  Rest: 1       
 3 : 2 =  1  Rest: 1       
 1 : 2 =  0  Rest: 1       
Resultat: 11101

Aufgabe 2

1001101 

1 ·  1 =   1
0 ·  2 =   0
1 ·  4 =   4
1 ·  8 =   8
0 · 16 =   0
0 · 32 =   0
1 · 64 =  64
         ———
          77

11101 

1 ·  1 =   1
0 ·  2 =   0
1 ·  4 =   4
1 ·  8 =   8
1 · 16 =  16
         ———
          29

11110000 

0 ·   1 =    0
0 ·   2 =    0
0 ·   4 =    0
0 ·   8 =    0
1 ·  16 =   16
1 ·  32 =   32
1 ·  64 =   64
1 · 128 =  128
          ————
           240

10000000 

0 ·   1 =    0
0 ·   2 =    0
0 ·   4 =    0
0 ·   8 =    0
0 ·  16 =    0
0 ·  32 =    0
0 ·  64 =    0
1 · 128 =  128
          ————
           128

101010 

0 ·  1 =   0
1 ·  2 =   2
0 ·  4 =   0
1 ·  8 =   8
0 · 16 =   0
1 · 32 =  32
         ———
          42