There are two special numbers, and , which may not be expressed as above. Since numbers are stored in a fixed number of bits these ``infinities'' are very useful. Both of these numbers are members of all of our floating point number systems. Many properties of these special numbers are intuitive. For example:
The floating point number can represent a real number too large to be described by a finite number of . Similar sign infinities are incomparable. Both and are false, since it is unknown which real number each represents.
Jeff Tupper | March 1996 |