Computability in Europe 2008
Logic and Theory of Algorithms

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Regular Talk:
Online-division with Periodic Rational Numbers

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Author(s): Gregorio de Miguel Casado, Juan Manuel Garcí­a-Chamizo and Higinio Mora Mora
Slot: Wed, 11:50-12:10, Room 24 (col. 3)


This paper discusses different approaches for exact rational
arithmetic and proposes a novel representation for periodic rational numbers
with double mantissa (fixed and periodic) based on signed-digit
arithmetic. The representation is proposed under the scope of Type-2
Theory of Effectivity (TTE) and the extension of an online-arithmetic
algorithm for division is analyzed.

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