Positional Number Systems

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Positional Number Systems

• Number represented by string of digits, each
  digit position has a weight, which is a power of
  the radix or base. A decimal point denotes the
  place where negative powers of the radix start.
• 1234 1103 2102 3101 4100
• 1.234 1100 210-1 310-2 410-3

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Positional Number Systems

• General D dp-1 dp-2 d1 d0 . d -1 d-2
  d-(n-1) d-nD ?I -n p-1 (di ri )
• R2 binary digitbit 0101001.101101
• R8 octal digit oct 0157.6501
• R10 decimal digit dec 1234.49033
• R16 hexidecimal digit hex ab123.f9015c
• High order/most significant digit(D) leftmost
  largest non-zero weight
• Low order/least significant digit(D) rightmost
  smallest non-zero weight

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