zahlendarstellung-2 1.8 KB

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  1. (29).b + (28).b = (56).b
  2. => (2b + 9 + 2b + 8).10 = (5b + 6).10
  3. => 4b + 17 = 5b + 6
  4. => 11 = b
  5. ---
  6. (101010010).2 / (1101).2 = 011010
  7. - 1101
  8. - 01101
  9. 10000
  10. - 1101
  11. 000110
  12. - 0000
  13. 1101
  14. - 1101
  15. 00000
  16. - 0000
  17. 0R
  18. ---
  19. ek = einerkomplement
  20. v.ek = (000111001).2
  21. (v.ek).10 = 2^0 + 2^3 + 2^4 + 2^5 = 1 + 8 + 16 + 32 = 57
  22. ---
  23. ez = exzess
  24. v.ez = (1100001).2
  25. (1).2 + e = (1100001).2
  26. e = (1100001).2 - (1).2
  27. e = (1100000).2
  28. (1100001).2
  29. - 1
  30. 1100000
  31. ---
  32. (11110.00100).2 = (x).10
  33. x = 2^1 + 2^2 + 2^3 + 2^4 + 1/2^3
  34. = 2 + 4 + 8 + 16 + 1/8
  35. = 30
  36. 1/8=0.125
  37. ---
  38. (498.936).10 = (x).2
  39. 498 % 2 = 0 498 / 2 = 249
  40. 249 % 2 = 1 (249 - 1) / 2 = 124
  41. 124 % 2 = 0 124 / 2 = 50 + 12 = 62
  42. 62 % 2 = 0 62 / 2 = 31
  43. 31 % 2 = 1 (31 - 1) / 2 = 15
  44. 15 % 2 = 1 (15 - 1) / 2 = 7
  45. 7 % 2 = 1 (7 - 1) / 2 = 3
  46. 3 % 2 = 1 (3 - 1) / 2 = 1
  47. 1 % 2 = 1 1 - 1 / 2 = 0
  48. x = (111110010).2 + (0.936).10
  49. 0.936 * 2 = 1.872
  50. 1.800
  51. 60
  52. 12
  53. 0.872 * 2 = 1.744
  54. 1.600
  55. 140
  56. 4
  57. 0.744 * 2 = 1.488
  58. 1.400
  59. 80
  60. 8
  61. x = (111110010.111).2
  62. ---
  63. (617.605).8 = (x).16
  64. (x).10 = 6*8^2 + 1*8^1 + 7*8^0 + 6*8^-1 + 5*8^-3
  65. = 6*64 + 8 + 7 + 6/8 + 5/512
  66. = 384 + 8 + 7 + 384/512 + 5/512
  67. = 399 + 385/512
  68. <-
  69. 7*512 = 3500 + 70 + 14 = 3584
  70. 5*512 = 2048 + 512 = 2560
  71. 9*512 = 5120 - 512 = 4608
  72. 3*512 = 1024 + 512 = 1536
  73. 385/512=0.7519531...
  74. 3850
  75. 2660
  76. 1000
  77. 4880
  78. 2720
  79. 1600
  80. 640
  81. 1280..
  82. ->
  83. 7 = 111
  84. 6 = 110
  85. 5 = 101
  86. 1 = 001
  87. (x).2 = 110 001 111 . 110 000 101
  88. = 1 1000 1111 . 1100 0010 1000
  89. = 1 8 F . C 2 8
  90. = 18F.C28
  91. ---
  92. (0.75).10 = (0.1100..).2
  93. (0.11).2 = (0.75).10
  94. (-8.75) - (-8.75) = 0