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  1. 2.2 Darstellung von rationalen Zahlen
  2.  
  3.  
  4. a.
  5.  (−23,34375)₁₀
  6.  
  7. 23/2 =  11  R: 1
  8. 11/2 =  5   R: 1
  9. 5/2 =   2   R: 1
  10. 2/2 =   1   R: 0
  11. 1/2 =   0   R: 1
  12. = 10111
  13.  
  14. 0,34375*2 = 0,6875      0
  15. 0,6875*2 = 1,375        1
  16. 0,375*2 =    0,75       0
  17. 0,75*2 =    1,5     1
  18. 0,5*2 =     1,0     1
  19. 0,0*2 =     0,0     0
  20. 0,0*2 =     0,0     0
  21. 0,0*2 =     0,0     0
  22.  
  23. = 01011000000…
  24.  
  25. = 10111,01011000000…
  26. = 0,11101011000000*2⁴
  27.  
  28. 127+4 = 131 = 1000 0011
  29.  
  30. S Exponent       Mantisse
  31. /\  /             \  /                                                         \
  32. 1 100 0001 1011  1010 1100 0000 0000 0000
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