Topics: Numerical Analysis - Rounding Error

To represent real numbers on a computer, the first step is to first obtain its normalised form:


  • : a digit with a value from to
  • : digits with values from to
  • : numerical base ()
  • : number of significative digits (precision)
  • : exponent (an integer)

These normalised numbers can then be used to obtain their floating point form.

The representation of is special.