Title :
Exact numerical processing
Author :
Chamizo, Juan Manuel García ; Pascual, Jerónimo Mora ; Mora, Higinio Mora
Author_Institution :
DTIC, Univ. Alicante, Spain
Abstract :
A model of an exact arithmetic processing is presented. We describe a representation format that gives us a greater expressive capability and covers a wider numerical set. The rational numbers are represented by means of fractional notation and explicit codification of its periodic part. We also give a brief description of exact arithmetic operations on the proposed format. This model constitutes a good alternative for the symbolic arithmetic, in special when numerical exact values are required. As an example, we show an application of the exact numerical processing to calculate the perpendicular vector to another one for aerospace purposes.
Keywords :
calculation; digital arithmetic; mathematical operators; aerospace purposes; exact arithmetic processing; exact numerical processing; fractional notation; perpendicular vector; rational numbers; Adders; Calculus; Computer architecture; Costs; Digital arithmetic; Digital systems; Equations; Frequency; Numerical models;
Conference_Titel :
Digital System Design, 2003. Proceedings. Euromicro Symposium on
Conference_Location :
Belek-Antalya, Turkey
Print_ISBN :
0-7695-2003-0
DOI :
10.1109/DSD.2003.1231978