{"id":"https://openalex.org/W2038723347","doi":"https://doi.org/10.1109/tc.1973.5009107","title":"Radix-16 Evaluation of Certain Elementary Functions","display_name":"Radix-16 Evaluation of Certain Elementary Functions","publication_year":1973,"publication_date":"1973-06-01","ids":{"openalex":"https://openalex.org/W2038723347","doi":"https://doi.org/10.1109/tc.1973.5009107","mag":"2038723347"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1973.5009107","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1973.5009107","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/A5004115757","display_name":"M.D. Ercegovac","orcid":"https://orcid.org/0009-0009-4359-0876"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Milos D. Ercegovac","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana, IL, USA","Department of Computer Science, University of Illinois, Urbana, Ill. 61801.#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana, Ill. 61801.#TAB#","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004115757"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":1.6501,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.83965937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"C-22","issue":"6","first_page":"561","last_page":"566"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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":1.0,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9916999936103821,"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"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9908000230789185,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/radix","display_name":"Radix (gastropod)","score":0.7418961524963379},{"id":"https://openalex.org/keywords/elementary-function","display_name":"Elementary function","score":0.7332078814506531},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6893343925476074},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6855965852737427},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.669937789440155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6097606420516968},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.585608959197998},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.4839489758014679},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42287489771842957},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4037647545337677},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34053146839141846},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15314453840255737},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10791659355163574}],"concepts":[{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.7418961524963379},{"id":"https://openalex.org/C182408441","wikidata":"https://www.wikidata.org/wiki/Q824282","display_name":"Elementary function","level":2,"score":0.7332078814506531},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6893343925476074},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6855965852737427},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.669937789440155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6097606420516968},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.585608959197998},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.4839489758014679},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42287489771842957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4037647545337677},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34053146839141846},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15314453840255737},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10791659355163574},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1973.5009107","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1973.5009107","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W118010757","https://openalex.org/W152904077","https://openalex.org/W605234079","https://openalex.org/W1985956780","https://openalex.org/W1992371903","https://openalex.org/W2032336035","https://openalex.org/W2054205924","https://openalex.org/W2077495580","https://openalex.org/W2095090051","https://openalex.org/W2103101604","https://openalex.org/W2105011602","https://openalex.org/W2115452265","https://openalex.org/W2171048434","https://openalex.org/W2481486962","https://openalex.org/W2613286145","https://openalex.org/W6604754143","https://openalex.org/W6606270186","https://openalex.org/W6618530054"],"related_works":["https://openalex.org/W2412254868","https://openalex.org/W2390904641","https://openalex.org/W2120447654","https://openalex.org/W2977179488","https://openalex.org/W816882723","https://openalex.org/W2377485831","https://openalex.org/W2144453115","https://openalex.org/W2001806972","https://openalex.org/W2796943335","https://openalex.org/W2068414761"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"a":[3,10,50,59,67],"family":[4],"of":[5,9,12,28,49,58,61,71,86,92,98],"algorithms":[6],"for":[7],"evaluation":[8],"class":[11,60,70],"elementary":[13],"functions":[14,72],"including":[15],"division,":[16],"logarithms,":[17],"and":[18,36,89,107],"exponentials.":[19],"The":[20,43],"main":[21],"objective":[22],"is":[23,45,74,80],"to":[24,37,65,112],"demonstrate":[25],"the":[26,56,83,90,96,99],"feasibility":[27],"higher":[29],"radix":[30,34,41],"implementations,":[31],"in":[32,77],"particular,":[33],"16,":[35],"compare":[38],"performance":[39],"with":[40],"2.":[42],"emphasis":[44],"not":[46],"on":[47,55,104],"optimality":[48,57],"single":[51],"algorithm,":[52],"but":[53],"rather":[54],"algorithms.":[62,94],"An":[63],"attempt":[64],"implement":[66],"much":[68],"wider":[69],"than":[73],"presently":[75],"done":[76],"arithmetic":[78],"units":[79],"encouraged":[81],"by":[82],"current":[84],"level":[85],"digital":[87],"technology":[88],"existence":[91],"suitable":[93],"Besides":[95],"definitions":[97],"algorithms,":[100],"which":[101],"are":[102,114],"based":[103],"continued":[105,108],"products":[106],"sums,":[109],"details":[110],"related":[111],"implementation":[113],"discussed.":[115]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
