[prev] 64 [next]

Floating Point Numbers (cont)

IEEE 754 standard ...
  • scientific notation with fraction F and exponent E
  • numbers have form F × 2E, where both F and E can be -ve
  • INFINITY = representation for and -∞ (e.g. 1.0/0)
  • NAN = representation for invalid value (e.g. sqrt(-1.0))
Fraction part is normalised  (i.e. 1.2345×102 rather than 123.45)

In binary, exponent is represented relative to a bias value B

  • if the unsigned exponent value is e, the actual value is e-B