Fractional Number Representation for the Digital Sintesi
Simplifying
Denis Ferreira Figueiredo
UNIVERSIDADE VEIGA DE ALMEIDA
Instituto de Ciência e Tecnologia – ICT – CINFO
Rua Ibituruna No. 108 - Maracanã
Rio de Janeiro - RJ - Cep: 20271-020
[email protected]
Prof. Luiz Biondi Neto
UNIVERSIDADE VEIGA DE ALMEIDA
Instituto de Ciência e Tecnologia – ICT – CINFO
Rua Ibituruna No. 108 - Maracanã
Rio de Janeiro - RJ - Cep: 20271-020
[email protected]
MSc. Eng. Fernando Hideo Fukuda
UNIVERSIDADE FEDERAL DO RIO DE JANEIRO (UFRJ-COPPE)
Núcleo de Transferência de Tecnologia (NTT)
[email protected]
ABSTRACT
The complex task of a Floating-Point Math
Unit implementation, well as their functional
performance is evaluated under a proposal of a
different point of view in computational
methodology, representation formats and their
primary functions. The use of the actual
Floating-Point Standards (IEEE 754) is put
under comparative view with more simple
math methods, with increased performance for
computational environments, as illustrated by
the numeric analysis and results, by the
adoption of fractional number representation
of REAL numbers, against the exponential
representation. That simplification in methods
being applied in the implementation, in a well
stable technological base, is able to represent
improvements of performance, and in
numerical math precision too. Under a
analysis of standard math benchmark models,
commonly used for math precision and speed
evaluation, can qualify the precision scope of
the two forms of numerical representation,
well as their calculation performances and
pondering the error propagation issues.
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