Araujo, Túlio, Cardoso, Matheus B.R., Nepomuceno, Erivelton, Llanos, Carlos H. and Arias-Garcia, Janier (2021) A new floating-point adder FPGA-based implementation using RN-coding of numbers. Computers & Electrical Engineering, 90. p. 106947. ISSN 00457906
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Abstract
A well-known problem in the computer science area is related to numerical data representation,
which directly affects adder circuits’ design and a reason to have different formats: IEEE Std.
754, Half-Unit-Biased (HUB), and Round-to-Nearest (RN). RN has an advantage that rounding
to nearest is equivalent to a word truncation. It avoids double rounding errors and intermediate
rounding steps with an exact conversion between formats, making it applicable to general
problems. However, there is a lack of research on the hardware implementation of the RN
representation. In this work, we propose hardware architectures for binary and floating-point
adders, analyzing for the latter its performance in terms of error and resource consumption
in FPGAs. To accomplish this, we have developed a one-bit RN-based adder that allows
modular designs, considering an efficient signal propagation to obtain new architectures for
both binary and floating-point single-precision adders. The results open new perspectives for
further applications.
Item Type: | Article |
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Keywords: | Round-to-Nearest representation; RN-coding; Floating-point; Adder; FPGA; Hardware; |
Academic Unit: | Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
Item ID: | 16816 |
Identification Number: | 10.1016/j.compeleceng.2020.106947 |
Depositing User: | Erivelton Nepomuceno |
Date Deposited: | 09 Jan 2023 12:14 |
Journal or Publication Title: | Computers & Electrical Engineering |
Publisher: | Elsevier |
Refereed: | Yes |
Related URLs: | |
URI: | https://mural.maynoothuniversity.ie/id/eprint/16816 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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