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High-Radix Multiplier-Dividers: Theory, Design, and Hardware
August 2010 (vol. 59 no. 8)
pp. 1009-1022
ASCII Text
x 
 
Alaaeldin Amin, M. Waleed Shinwari, "High-Radix Multiplier-Dividers: Theory, Design, and Hardware," IEEE Transactions on Computers, vol. 59, no. 8, pp. 1009-1022, August, 2010.
 
 
BibTex
x
 
@article{ 10.1109/TC.2010.78,
author = {Alaaeldin Amin and M. Waleed Shinwari},
title = {High-Radix Multiplier-Dividers: Theory, Design, and Hardware},
journal ={IEEE Transactions on Computers},
volume = {59},
number = {8},
issn = {0018-9340},
year = {2010},
pages = {1009-1022},
doi = {http://doi.ieeecomputersociety.org/10.1109/TC.2010.78},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - High-Radix Multiplier-Dividers: Theory, Design, and Hardware
IS - 8
SN - 0018-9340
SP1009
EP1022
EPD - 1009-1022
A1 - Alaaeldin Amin,
A1 - M. Waleed Shinwari,
PY - 2010
KW - Computer arithmetic
KW - division
KW - quotient digit selection
KW - SRT
KW - multiplier-divider.
VL - 59
JA - IEEE Transactions on Computers
ER -
 
Alaaeldin Amin, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
M. Waleed Shinwari, McMaster University, Hamilton, Ontario
This paper describes the theory and design of digital high-radix multiplier-dividers (Patent Pending). The theory of high-radix division is extended to high-radix multiplier-dividers that can perform fused multiplication and division operations using a single recurrence relation. With the fused implementation of multiplication and division, the two operations can be executed using a single instruction, implying only a single rounding operation. The recurrence relation is described, the quotient digit selection function derived, and important design parameters together with their optimal values and relations are defined. Efficient design procedure and implementation hardware are described and important system parameter values for various radix systems computed. Compared to pure dividers, the multiplier-divider requires a slightly more complex data path and quotient digit selection function.

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Index Terms:
Computer arithmetic, division, quotient digit selection, SRT, multiplier-divider.
Citation:
Alaaeldin Amin, M. Waleed Shinwari, "High-Radix Multiplier-Dividers: Theory, Design, and Hardware," IEEE Transactions on Computers, vol. 59, no. 8, pp. 1009-1022, Aug. 2010, doi:10.1109/TC.2010.78
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