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Paper Abstract and Keywords
Presentation 2022-01-24 09:55
Study on Reverse Converters for RNS moduli set {2^k,2^n+1,2^n-1} using Signed-Digit numbers
Takahiro Morii, Yuuki Tanaka, Shugang Wei (Gunma Univ.) VLD2021-50 CPSY2021-19 RECONF2021-58
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we propose reverse converters for moduli set ${2^k,2^n+1,2^n-1}$ that convert residue number system to weighted number system.
By using SD(Signed-Digit) number and SD number addition algorithm, we can reduce number of modular addition of reverse conversion. Moreover, we consider a method that can
detect a number is represented by a negative value and obtain an equivalent positive value of the residue SD number that may take negative values at a higher speed by using SD-binary subtraction algorithm.
We have designed the reverse conversion circuit with a hardware description language by using a 0.18{textmu}m CMOS gate array technology library.
Keyword (in Japanese) (See Japanese page) 
(in English) Residue Number System(RNS) / SD(Signed-Digit)number / Residue SD number / / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 342, VLD2021-50, pp. 7-12, Jan. 2022.
Paper # VLD2021-50 
Date of Issue 2022-01-17 (VLD, CPSY, RECONF) 
ISSN Online edition: ISSN 2432-6380
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All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF VLD2021-50 CPSY2021-19 RECONF2021-58

Conference Information
Committee RECONF VLD CPSY IPSJ-ARC IPSJ-SLDM  
Conference Date 2022-01-24 - 2022-01-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) FPGA Applications, etc. 
Paper Information
Registration To VLD 
Conference Code 2022-01-RECONF-VLD-CPSY-ARC-SLDM 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Study on Reverse Converters for RNS moduli set {2^k,2^n+1,2^n-1} using Signed-Digit numbers 
Sub Title (in English)  
Keyword(1) Residue Number System(RNS)  
Keyword(2) SD(Signed-Digit)number  
Keyword(3) Residue SD number  
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1st Author's Name Takahiro Morii  
1st Author's Affiliation Gunma University (Gunma Univ.)
2nd Author's Name Yuuki Tanaka  
2nd Author's Affiliation Gunma University (Gunma Univ.)
3rd Author's Name Shugang Wei  
3rd Author's Affiliation Gunma University (Gunma Univ.)
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Speaker Author-1 
Date Time 2022-01-24 09:55:00 
Presentation Time 25 minutes 
Registration for VLD 
Paper # VLD2021-50, CPSY2021-19, RECONF2021-58 
Volume (vol) vol.121 
Number (no) no.342(VLD), no.343(CPSY), no.344(RECONF) 
Page pp.7-12 
#Pages
Date of Issue 2022-01-17 (VLD, CPSY, RECONF) 


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