Decimal multiplication in FPGA with a novel decimal adder/subtractor

Detalhes bibliográficos
Autor(a) principal: Véstias, Mário
Data de Publicação: 2021
Outros Autores: Neto, Horácio C
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/13833
Resumo: Financial and commercial data are mostly represented in decimal format. To avoid errors introduced when converting some decimal fractions to binary, these data are processed with decimal arithmetic. Most processors only have hardwired binary arithmetic units. So, decimal operations are executed with slow software-based decimal arithmetic functions. For the fast execution of decimal operations, dedicated hardware units have been proposed and designed in FPGA. Decimal multiplication is found in most decimal-based applications and so its optimized design is very important for fast execution. In this paper two new parallel decimal multipliers in FPGA are proposed. These are based on a new decimal adder/subtractor also proposed in this paper. The new decimal multipliers improve state-of-the-art parallel decimal multipliers. Compared to previous architectures, implementation results show that the proposed multipliers achieve 26% better area and 12% better performance. Also, the new decimal multipliers reduce the area and performance gap to binary multipliers and are smaller for 32 digit operands.
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spelling Decimal multiplication in FPGA with a novel decimal adder/subtractorDecimal multiplicationDecimal adder parallel multiplicationExcess-3 codingFPGAFinancial and commercial data are mostly represented in decimal format. To avoid errors introduced when converting some decimal fractions to binary, these data are processed with decimal arithmetic. Most processors only have hardwired binary arithmetic units. So, decimal operations are executed with slow software-based decimal arithmetic functions. For the fast execution of decimal operations, dedicated hardware units have been proposed and designed in FPGA. Decimal multiplication is found in most decimal-based applications and so its optimized design is very important for fast execution. In this paper two new parallel decimal multipliers in FPGA are proposed. These are based on a new decimal adder/subtractor also proposed in this paper. The new decimal multipliers improve state-of-the-art parallel decimal multipliers. Compared to previous architectures, implementation results show that the proposed multipliers achieve 26% better area and 12% better performance. Also, the new decimal multipliers reduce the area and performance gap to binary multipliers and are smaller for 32 digit operands.MDPIRCIPLVéstias, MárioNeto, Horácio C2021-10-07T12:56:03Z2021-06-292021-06-29T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/13833engVÉSTIAS, Mário P.; NETO, Horácio C. – Decimal multiplication in FPGA with a novel decimal adder/subtractor. Algorithms. eISSN 1999-4893. Vol. 14, N.º 7 (2021), pp. 1-2110.3390/a140701981999-4893info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-08-03T10:09:12Zoai:repositorio.ipl.pt:10400.21/13833Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:21:42.737095Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Decimal multiplication in FPGA with a novel decimal adder/subtractor
title Decimal multiplication in FPGA with a novel decimal adder/subtractor
spellingShingle Decimal multiplication in FPGA with a novel decimal adder/subtractor
Véstias, Mário
Decimal multiplication
Decimal adder parallel multiplication
Excess-3 coding
FPGA
title_short Decimal multiplication in FPGA with a novel decimal adder/subtractor
title_full Decimal multiplication in FPGA with a novel decimal adder/subtractor
title_fullStr Decimal multiplication in FPGA with a novel decimal adder/subtractor
title_full_unstemmed Decimal multiplication in FPGA with a novel decimal adder/subtractor
title_sort Decimal multiplication in FPGA with a novel decimal adder/subtractor
author Véstias, Mário
author_facet Véstias, Mário
Neto, Horácio C
author_role author
author2 Neto, Horácio C
author2_role author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Véstias, Mário
Neto, Horácio C
dc.subject.por.fl_str_mv Decimal multiplication
Decimal adder parallel multiplication
Excess-3 coding
FPGA
topic Decimal multiplication
Decimal adder parallel multiplication
Excess-3 coding
FPGA
description Financial and commercial data are mostly represented in decimal format. To avoid errors introduced when converting some decimal fractions to binary, these data are processed with decimal arithmetic. Most processors only have hardwired binary arithmetic units. So, decimal operations are executed with slow software-based decimal arithmetic functions. For the fast execution of decimal operations, dedicated hardware units have been proposed and designed in FPGA. Decimal multiplication is found in most decimal-based applications and so its optimized design is very important for fast execution. In this paper two new parallel decimal multipliers in FPGA are proposed. These are based on a new decimal adder/subtractor also proposed in this paper. The new decimal multipliers improve state-of-the-art parallel decimal multipliers. Compared to previous architectures, implementation results show that the proposed multipliers achieve 26% better area and 12% better performance. Also, the new decimal multipliers reduce the area and performance gap to binary multipliers and are smaller for 32 digit operands.
publishDate 2021
dc.date.none.fl_str_mv 2021-10-07T12:56:03Z
2021-06-29
2021-06-29T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.21/13833
url http://hdl.handle.net/10400.21/13833
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv VÉSTIAS, Mário P.; NETO, Horácio C. – Decimal multiplication in FPGA with a novel decimal adder/subtractor. Algorithms. eISSN 1999-4893. Vol. 14, N.º 7 (2021), pp. 1-21
10.3390/a14070198
1999-4893
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