Title :
Finite Precision Rational Arithmetic: An Arithmetic Unit
Author :
Kornerup, Peter ; Matula, David W.
Author_Institution :
Department of Computer Science, Aarhus University
fDate :
4/1/1983 12:00:00 AM
Abstract :
The foundations of an arithmetic unit performing the add, subtract, multiply, and divide operations on rational operands are developed. The unit uses the classical Euclidean algorithm as one unified algorithm for all the arithmetic operations, including rounding. Binary implementations are discussed, based on techniques known from SRT division, and utilizing ripple-free borrow-save and carry-save addition. Average time behavior is investigated.
Keywords :
Borrow-save and carry-save addition; Euclidean algorithm; SRT-division; fixed-slash and floating-slash representations; rational numbers; Arithmetic; Computer science; Councils; Standards development; Borrow-save and carry-save addition; Euclidean algorithm; SRT-division; fixed-slash and floating-slash representations; rational numbers;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1983.1676239
