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Positional Number System

Positional Number System. Position determine the value. S  set of symbols b = number of symbols in S b is base (or radix) K  number of digits in the integral part. 0 to k-1 L  number of digits in the fractional part. -1 to -L.

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Positional Number System

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  1. Positional Number System • Position determine the value. • S  set of symbols • b = number of symbols in S • b is base (or radix) • K  number of digits in the integral part. 0 to k-1 • L  number of digits in the fractional part. -1 to -L

  2. ( Sk-1 … S2 S1S0 .S-1 S-2 …S-L ) b positiveORnegativenumber Decimalpoint base L digits K digits ( Sk-1 … S2 S1S0 . S-1 S-2 …S-L ) b position0 position-1 positionk-1 position1 position-2 position-L position2

  3. ( Sk-1 … S2S1S0.S-1S-2…S-L ) b Sk-1 x bk-1+ … + S2 X b2+ S1X b1+ S0X b0 S-1 x b-1+ S-2 X b-2+ … + S-LX b-L n = +

  4. NOTE Factors of 2

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