Analysis of Fast Radix-10 Digit Recurrence Algorithms for Fixed-Point and Floating-Point Dividers on FPGAs
Joint Authors
Source
International Journal of Reconfigurable Computing
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-07
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Information Technology and Computer Science
Abstract EN
Decimal floating point operations are important for applications that cannot tolerate errors from conversions between binary and decimal formats, for instance, commercial, financial, and insurance applications.
In this paper we present five different radix-10 digit recurrence dividers for FPGA architectures.
The first one implements a simple restoring shift-and-subtract algorithm, whereas each of the other four implementations performs a nonrestoring digit recurrence algorithm with signed-digit redundant quotient calculation and carry-save representation of the residuals.
More precisely, the quotient digit selection function of the second divider is implemented fully by means of a ROM, the quotient digit selection function of the third and fourth dividers are based on carry-propagate adders, and the fifth divider decomposes each digit into three components and requires neither a ROM nor a multiplexer.
Furthermore, the fixed-point divider is extended to support IEEE 754-2008 compliant decimal floating-point division for decimal64 data format.
Finally, the algorithms have been synthesized on a Xilinx Virtex-5 FPGA, and implementation results are given.
American Psychological Association (APA)
Baesler, Malte& Voigt, Sven-Ole. 2013. Analysis of Fast Radix-10 Digit Recurrence Algorithms for Fixed-Point and Floating-Point Dividers on FPGAs. International Journal of Reconfigurable Computing،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-472776
Modern Language Association (MLA)
Baesler, Malte& Voigt, Sven-Ole. Analysis of Fast Radix-10 Digit Recurrence Algorithms for Fixed-Point and Floating-Point Dividers on FPGAs. International Journal of Reconfigurable Computing No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-472776
American Medical Association (AMA)
Baesler, Malte& Voigt, Sven-Ole. Analysis of Fast Radix-10 Digit Recurrence Algorithms for Fixed-Point and Floating-Point Dividers on FPGAs. International Journal of Reconfigurable Computing. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-472776
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472776