{"id":"https://openalex.org/W2519664091","doi":"https://doi.org/10.1109/tvlsi.2016.2604346","title":"Energy-Efficient VLSI Realization of Binary64 Division With Redundant Number Systems","display_name":"Energy-Efficient VLSI Realization of Binary64 Division With Redundant Number Systems","publication_year":2016,"publication_date":"2016-09-16","ids":{"openalex":"https://openalex.org/W2519664091","doi":"https://doi.org/10.1109/tvlsi.2016.2604346","mag":"2519664091"},"language":"en","primary_location":{"id":"doi:10.1109/tvlsi.2016.2604346","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2016.2604346","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088683571","display_name":"Saba Amanollahi","orcid":null},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Saba Amanollahi","raw_affiliation_strings":["Department of Computer Science and Engineering, Shahid Beheshti University, Tehran, Iran","Department of Computer Science and Engineering Shahid Beheshti University Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]},{"raw_affiliation_string":"Department of Computer Science and Engineering Shahid Beheshti University Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001597461","display_name":"Ghassem Jaberipur","orcid":"https://orcid.org/0000-0001-8458-7627"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ghassem Jaberipur","raw_affiliation_strings":["Department of Computer Science and Engineering, Shahid Beheshti University, Tehran, Iran","Department of Computer Science and Engineering Shahid Beheshti University Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0001-8458-7627","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]},{"raw_affiliation_string":"Department of Computer Science and Engineering Shahid Beheshti University Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I48379061"],"apc_list":null,"apc_paid":null,"fwci":1.0536,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.80448208,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"25","issue":"3","first_page":"954","last_page":"961"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.8200246095657349},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.7099928855895996},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.639377236366272},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5609385967254639},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.39853742718696594},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.396234929561615},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.28115981817245483},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22682109475135803},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18802735209465027}],"concepts":[{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.8200246095657349},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.7099928855895996},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.639377236366272},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5609385967254639},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.39853742718696594},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.396234929561615},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.28115981817245483},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22682109475135803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18802735209465027},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvlsi.2016.2604346","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2016.2604346","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1829595298","https://openalex.org/W2028993540","https://openalex.org/W2085787197","https://openalex.org/W2090481268","https://openalex.org/W2102275186","https://openalex.org/W2115237667","https://openalex.org/W2116531181","https://openalex.org/W2131256658","https://openalex.org/W2136635662","https://openalex.org/W2148859652","https://openalex.org/W2150099508","https://openalex.org/W2151953674","https://openalex.org/W2155969138","https://openalex.org/W2172297369","https://openalex.org/W2323519234"],"related_works":["https://openalex.org/W2022544890","https://openalex.org/W2394097730","https://openalex.org/W4312353617","https://openalex.org/W2113405914","https://openalex.org/W4283025278","https://openalex.org/W2260963831","https://openalex.org/W4235249401","https://openalex.org/W2036954759","https://openalex.org/W2506252583","https://openalex.org/W4238090084"],"abstract_inverted_index":{"VLSI":[0,156],"realizations":[1,157],"of":[2,10,23,35,61,69,105,118,134,155,158,182,198],"digit-recurrence":[3],"binary":[4,51,97],"division":[5,91],"usually":[6],"use":[7,113],"redundant":[8,65],"representation":[9,60,68],"partial":[11,26,62,106,116],"remainders":[12],"and":[13,28,64,164,172,186],"quotient":[14,70,143],"digits.":[15],"The":[16,121,142],"former":[17],"allows":[18],"for":[19],"fast":[20],"carry-free":[21],"computation":[22],"the":[24,29,36,42,50,59,78,109,127,135,159,165,176,180,199],"next":[25],"remainder,":[27],"latter":[30,122],"leads":[31],"to":[32,76],"less":[33,195],"number":[34,54],"required":[37],"divisor":[38,119],"multiples.":[39,120],"In":[40,81],"studying":[41],"previous":[43,161],"relevant":[44,162],"works,":[45],"we":[46,84],"have":[47],"noted":[48],"that":[49,197],"carry-save":[52],"(CS)":[53],"system":[55],"is":[56,72,137,193],"prevalent":[57],"in":[58,74,175],"remainders,":[63],"high":[66],"radix":[67],"digits":[71,144],"popular":[73],"order":[75],"reduce":[77],"cycle":[79],"count.":[80],"this":[82],"paper,":[83],"explore":[85],"a":[86],"design":[87],"space":[88],"containing":[89],"four":[90,166],"architectures.":[92],"These":[93],"are":[94,145],"based":[95],"on":[96],"CS":[98],"or":[99,115],"radix-16":[100,148],"signed":[101],"digit":[102],"(SD)":[103],"representations":[104],"remainders.":[107],"On":[108],"other":[110],"hand,":[111],"they":[112],"full":[114],"precomputation":[117],"uses":[123],"smaller":[124],"multiplexer":[125],"at":[126,179],"cost":[128,181],"two":[129],"extra":[130],"adders,":[131],"where":[132],"one":[133],"operands":[136],"constant":[138],"within":[139],"all":[140],"cycles.":[141],"represented":[146],"by":[147],"[-9,":[149],"9]":[150],"SDs.":[151],"Our":[152],"synthesis-based":[153],"evaluation":[154],"best":[160],"work":[163],"proposed":[167,177],"designs":[168,178],"show":[169],"reduced":[170],"power":[171],"energy":[173],"figures":[174],"more":[183],"silicon":[184],"area":[185],"delay":[187],"measures.":[188],"However,":[189],"our":[190],"energy-delay":[191],"product":[192],"26%-35%":[194],"than":[196],"reference":[200],"work.":[201]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
