Computer Arithmetic: Principles, Architecture and Design
Computer Arithmetic: Principles, Architecture and Design
Hardware detection of undefined references
ACM SIGARCH Computer Architecture News
A Formalization of Floating-Point Numeric Base Conversion
IEEE Transactions on Computers
IEEE Transactions on Computers
The Sign/Logarithm Number System
IEEE Transactions on Computers
Static and Dynamic Numerical Characteristics of Floating-Point Arithmetic
IEEE Transactions on Computers
On the Precision Attainable with Various Floating-Point Number Systems
IEEE Transactions on Computers
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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.