DocumentCode
1484743
Title
Power Efficient Division and Square Root Unit
Author
Liu, Wei ; Nannarelli, Alberto
Author_Institution
Oticon, Smorum, Denmark
Volume
61
Issue
8
fYear
2012
Firstpage
1059
Lastpage
1070
Abstract
Although division and square root are not frequent operations, most processors implement them in hardware to not compromise the overall performance. Two classes of algorithms implement division or square root: digit-recurrence and multiplicative (e.g., Newton-Raphson) algorithms. Previous work shows that division and square root units based on the digit-recurrence algorithm offer the best tradeoff delay-area-power. Moreover, the two operations can be combined in a single unit. Here, we present a radix-16 combined division and square root unit obtained by overlapping two radix-4 stages. The proposed unit is compared to similar solutions based on the digit-recurrence algorithm and it is compared to a unit based on the multiplicative Newton-Raphson algorithm.
Keywords
Newton-Raphson method; floating point arithmetic; power aware computing; digit recurrence algorithm; division; multiplicative Newton-Raphson algorithm; power efficiency; square root unit; Adders; Convergence; Hardware; Multiplexing; Program processors; Redundancy; Registers; Floating point; digit-recurrence.; division; square root;
fLanguage
English
Journal_Title
Computers, IEEE Transactions on
Publisher
ieee
ISSN
0018-9340
Type
jour
DOI
10.1109/TC.2012.82
Filename
6178240
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