RT Journal Article
T1 New formats for computing with real-numbers under round-to-nearest
A1 Hormigo-Aguilar, Javier
A1 Villalba-Moreno, Julio
K1 Arquitectura de ordenadores
AB In this paper, a new family of formats to deal with real number for applications requiring round to nearest is proposed.They are based on shifting the set of exactly represented numbers which are used in conventional radix-R number systems.This technique allows performing radix complement and round to nearest without carry propagation with negligible time andhardware cost. Furthermore, the proposed formats have the same storage cost and precision as standard ones. Since conversionto conventional formats simply require appending one extra-digit to the operands, standard circuits may be used to performarithmetic operations with operands under the new format. We also extend the features of the RN-representation system andcarry out a thorough comparison between both representation systems. We conclude that the proposed representation systemis generally more adequate to implement systems for computation with real number under round-to-nearest.
YR 2015
FD 2015-09-17
LK http://hdl.handle.net/10630/10274
UL http://hdl.handle.net/10630/10274
LA eng
NO An edited version of this work was accepted in IEEE Transactions on computers, DOI 10.1109/TC.2015.2479623
NO Ministry of Education and Science of Spain under contracts TIN2013-42253-P.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 23 ene 2026