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Record W2119178646 · doi:10.1109/ccece.2007.279

Design and Implementation of Decimal Reciprocal Unit

2007· article· en· W2119178646 on OpenAlexafffund
Dongdong Chen, Seok‐Bum Ko

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicNumerical Methods and Algorithms
Canadian institutionsUniversity of Saskatchewan
FundersNatural Sciences and Engineering Research Council of CanadaLunds Universitet
KeywordsDecimalReciprocalArithmeticComputer scienceField-programmable gate arrayLookup tableTable (database)Multiplication (music)Floating pointDouble-precision floating-point formatAlgorithmComputer hardwareMathematicsProgramming language

Abstract

fetched live from OpenAlex

This paper presents the efficient design and implementation of a decimal reciprocal unit according to the Standard for Floating-Point Arithmetic (IEEE-754R), in which the initial approximation of the reciprocal is obtained by using a look-up table and a multiplication. An efficient look-up table creation is described in detail, and the error analysis for the ROMs of different sizes is carefully done in this paper. The presented design utilizes a 210times10 bits ROM followed by three Newton-Raphson iterations. It takes 119 clock cycles to achieve the 16-digit (Decimal-64) accuracy approximation of the reciprocal of a decimal floating-point number. The proposed implementation of decimal reciprocal unit is verified with a Xilinx Virtex-II Pro P70 FPGA device and synthesized by using TMSC 0.18 mum standard cell library.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.001
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Bench or experimental · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.008
Threshold uncertainty score0.026

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.001
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0000.000
Scholarly communication0.0010.001
Open science0.0020.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0080.003

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.048
GPT teacher head0.373
Teacher spread0.325 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designBench or experimental
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations7
Published2007
Admission routes2
Has abstractyes

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