{"id":"https://openalex.org/W2028993540","doi":"https://doi.org/10.1109/tc.2014.2366738","title":"Radix-2 Division Algorithms with an Over-Redundant Digit Set","display_name":"Radix-2 Division Algorithms with an Over-Redundant Digit Set","publication_year":2014,"publication_date":"2014-11-15","ids":{"openalex":"https://openalex.org/W2028993540","doi":"https://doi.org/10.1109/tc.2014.2366738","mag":"2028993540"},"language":"en","primary_location":{"id":"doi:10.1109/tc.2014.2366738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2014.2366738","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"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 Computers","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/A5061533431","display_name":"Jo Ebergen","orcid":null},"institutions":[{"id":"https://openalex.org/I1342911587","display_name":"Oracle (United States)","ror":"https://ror.org/006c77m33","country_code":"US","type":"company","lineage":["https://openalex.org/I1342911587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jo Ebergen","raw_affiliation_strings":["Oracle Laboratories, Redwood Shores, CA","[Oracle Laboratories, Redwood Shores, CA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oracle Laboratories, Redwood Shores, CA","institution_ids":["https://openalex.org/I1342911587"]},{"raw_affiliation_string":"[Oracle Laboratories, Redwood Shores, CA]","institution_ids":["https://openalex.org/I1342911587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020019851","display_name":"Navaneeth Jamadagni","orcid":null},"institutions":[{"id":"https://openalex.org/I126345244","display_name":"Portland State University","ror":"https://ror.org/00yn2fy02","country_code":"US","type":"education","lineage":["https://openalex.org/I126345244"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Navaneeth Jamadagni","raw_affiliation_strings":["Oracle Laboratories, Portland State University, Portland, OR","Oracle Laboratories, Portland State University, Redwood Shores, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oracle Laboratories, Portland State University, Portland, OR","institution_ids":["https://openalex.org/I126345244"]},{"raw_affiliation_string":"Oracle Laboratories, Portland State University, Redwood Shores, CA","institution_ids":["https://openalex.org/I126345244"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3574,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.62473391,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"64","issue":"9","first_page":"2652","last_page":"2663"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9984999895095825,"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/remainder","display_name":"Remainder","score":0.8355041742324829},{"id":"https://openalex.org/keywords/division-algorithm","display_name":"Division algorithm","score":0.7714085578918457},{"id":"https://openalex.org/keywords/numerical-digit","display_name":"Numerical digit","score":0.7013144493103027},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6683010458946228},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.6130028963088989},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6108636260032654},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.5929785370826721},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5415142178535461},{"id":"https://openalex.org/keywords/carry","display_name":"Carry (investment)","score":0.5366954207420349},{"id":"https://openalex.org/keywords/radix","display_name":"Radix (gastropod)","score":0.5134692788124084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4490922689437866},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.44555333256721497},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4386020302772522},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.089928537607193}],"concepts":[{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.8355041742324829},{"id":"https://openalex.org/C190715199","wikidata":"https://www.wikidata.org/wiki/Q3526714","display_name":"Division algorithm","level":3,"score":0.7714085578918457},{"id":"https://openalex.org/C94957134","wikidata":"https://www.wikidata.org/wiki/Q82990","display_name":"Numerical digit","level":2,"score":0.7013144493103027},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6683010458946228},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.6130028963088989},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6108636260032654},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5929785370826721},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5415142178535461},{"id":"https://openalex.org/C2776299755","wikidata":"https://www.wikidata.org/wiki/Q432449","display_name":"Carry (investment)","level":2,"score":0.5366954207420349},{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.5134692788124084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4490922689437866},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.44555333256721497},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4386020302772522},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.089928537607193},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tc.2014.2366738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2014.2366738","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"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 Computers","raw_type":"journal-article"},{"id":"pmh:oai:pdxscholar.library.pdx.edu:ece_fac-1424","is_oa":false,"landing_page_url":"https://pdxscholar.library.pdx.edu/ece_fac/423","pdf_url":null,"source":{"id":"https://openalex.org/S4377196300","display_name":"PDXScholar  (Portland State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126345244","host_organization_name":"Portland State University","host_organization_lineage":["https://openalex.org/I126345244"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical and Computer Engineering Faculty Publications and Presentations","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1584008964","https://openalex.org/W1829595298","https://openalex.org/W1849569023","https://openalex.org/W1970631945","https://openalex.org/W1981353157","https://openalex.org/W1982902264","https://openalex.org/W2009321096","https://openalex.org/W2074995584","https://openalex.org/W2085787197","https://openalex.org/W2095920062","https://openalex.org/W2100278660","https://openalex.org/W2111492309","https://openalex.org/W2113913508","https://openalex.org/W2131256658","https://openalex.org/W2146756891","https://openalex.org/W2158709667","https://openalex.org/W2161439686","https://openalex.org/W2162724120","https://openalex.org/W2559887101","https://openalex.org/W2916844179","https://openalex.org/W4210673018"],"related_works":["https://openalex.org/W2079394275","https://openalex.org/W2241940925","https://openalex.org/W2582149490","https://openalex.org/W1503447059","https://openalex.org/W2271866184","https://openalex.org/W1984099165","https://openalex.org/W2130642844","https://openalex.org/W1963954905","https://openalex.org/W2403805248","https://openalex.org/W4387905608"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,17,49,55,72,117],"derivation":[4],"of":[5,33,44,102,109,125],"four":[6],"radix-2":[7,119],"division":[8,14],"algorithms":[9,53,70,84,105],"by":[10],"digit":[11,19,23,36],"recurrence.":[12],"Each":[13],"algorithm":[15,89,121],"selects":[16],"quotient":[18,35],"from":[20,95],"the":[21,31,40,45,60,67,77,96,123],"over-redundant":[22],"set":[24],"{-2,":[25],"-1,":[26],"0,":[27],"1,":[28],"2},":[29],"and":[30,63,66,80,130],"selection":[32],"each":[34],"depends":[37],"only":[38],"on":[39],"two":[41,69,101],"most-significant":[42],"digits":[43],"partial":[46,61,78],"remainder":[47,62,79],"in":[48,112],"redundant":[50],"representation.":[51],"Two":[52],"use":[54,71],"two's":[56],"complement":[57],"representation":[58,75],"for":[59,76],"carry-save":[64],"additions,":[65],"other":[68],"binary":[73],"signed-digit":[74],"carry-free":[81],"additions.":[82],"Three":[83],"are":[85],"novel.":[86],"The":[87],"fourth":[88],"has":[90],"been":[91],"presented":[92],"before.":[93],"Results":[94],"synthesized":[97],"netlists":[98],"show":[99],"that":[100],"our":[103],"fastest":[104],"achieve":[106],"an":[107],"improvement":[108],"10":[110],"percent":[111,127,132],"latency":[113],"per":[114],"iteration":[115],"over":[116],"standard":[118],"SRT":[120],"at":[122],"cost":[124],"36":[126],"more":[128,133],"power":[129],"50":[131],"area.":[134]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
