Number Systems (2)

• Binary numbers

  • Digits = {0, 1}
  • (11010.11)2 = 1 x 24 + 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20 + 1 x 2-1 + 1 x 2-2
    = (26.75)10
  • 1 K (kilo) = 210 = 1,024, 1M (mega) = 220 = 1,048,576,

1G (giga) = 230 = 1,073,741,824

• Octal numbers

  • Digits = {0, 1, 2, 3, 4, 5, 6, 7}
  • (127.4)8 = 1 x 82 + 2 x 81 + 7 x 80 + 4 x 8-1 = (87.5)10

• Hexadecimal numbers

  • Digits = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F}
  • (B65F)16 = 11 x 163 + 6 x 162 + 5 x 161 + 15 x 160 = (46,687)10

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