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Lookup NU author(s): Dr Nick Coleman
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
The logarithmic number system has been proposed as an alternative to floating-point arithmetic. Multiplication, division and square-root operations are accomplished with inexpensive fixed-point methods, but addition and subtraction are considerably more challenging. Recent work has demonstrated that these operations too can be done with similar speed and accuracy to their FP equivalents, but the necessary circuitry is complex. In particular, it is dominated by the need for large ROM tables for the storage and interpolation of non-linear functions. We describe a new co-transformation procedure that eliminates much of the ROM space and allows the easy synthesis of the remainder in logic, and we then evaluate several interpolation methods that might benefit from it. Synthesised 32-bit implementations are compared with floating-point units, and show substantial reductions in delay, with equivalent accuracy and area.
Author(s): Coleman JN, Ismail RC
Publication type: Article
Publication status: Published
Journal: IEEE Transactions on Computer
Year: 2016
Volume: 65
Issue: 1
Pages: 136-146
Print publication date: 01/01/2016
Online publication date: 09/03/2015
Acceptance date: 23/12/2014
Date deposited: 04/02/2016
ISSN (print): 0018-9340
ISSN (electronic): 1557-9956
Publisher: IEEE
URL: http://dx.doi.org/10.1109/TC.2015.2409059
DOI: 10.1109/TC.2015.2409059
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