Title :
Computer Representation of Real Numbers
Author :
Gerrity, George W.
Author_Institution :
Department of Mathematics, Faculty of Military Studies, Royal Military College, University of New South Wales
Abstract :
Hwang´s[1] model for the computer representation of real numbers is extended to explicitly distinguish between the representational system used to denote real numbers and the internal encoding of the digits of the representation in the computer memory. The encoding function can then be chosen to preserve certain properties of the real number system and to optimize the computer arithmetic in a sense to be described herein. Two examples of optimal computer arithmetics are discussed.
Keywords :
Computer number representations; floating-point representations; number systems; Algebra; Algorithm design and analysis; Computer aided manufacturing; Computer errors; Digital arithmetic; Encoding; Mathematics; Microprogramming; Military computing; Partitioning algorithms; Computer number representations; floating-point representations; number systems;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1982.1676076
