{"id":"https://openalex.org/W2090795267","doi":"https://doi.org/10.1145/1046192.1046264","title":"Choice of base revisited","display_name":"Choice of base revisited","publication_year":2005,"publication_date":"2005-02-20","ids":{"openalex":"https://openalex.org/W2090795267","doi":"https://doi.org/10.1145/1046192.1046264","mag":"2090795267"},"language":"en","primary_location":{"id":"doi:10.1145/1046192.1046264","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1046192.1046264","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 ACM/SIGDA 13th international symposium on Field-programmable gate arrays","raw_type":"proceedings-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/A5066242985","display_name":"Bryan Catanzaro","orcid":"https://orcid.org/0000-0003-0034-7728"},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bryan C. Catanzaro","raw_affiliation_strings":["Brigham Young University, Provo, Utah"],"affiliations":[{"raw_affiliation_string":"Brigham Young University, Provo, Utah","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087430192","display_name":"Brent Nelson","orcid":"https://orcid.org/0000-0002-7523-3269"},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brent E. Nelson","raw_affiliation_strings":["Brigham Young University, Provo, Utah"],"affiliations":[{"raw_affiliation_string":"Brigham Young University, Provo, Utah","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066242985"],"corresponding_institution_ids":["https://openalex.org/I100005738"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16343838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"279","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9955999851226807,"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":0.9887999892234802,"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/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.8806494474411011},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.8404486179351807},{"id":"https://openalex.org/keywords/adder","display_name":"Adder","score":0.8074072599411011},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6945590376853943},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6742050647735596},{"id":"https://openalex.org/keywords/radix","display_name":"Radix (gastropod)","score":0.637241780757904},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5240314602851868},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5097048282623291},{"id":"https://openalex.org/keywords/double-precision-floating-point-format","display_name":"Double-precision floating-point format","score":0.49352729320526123},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.4730842709541321},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.46106773614883423},{"id":"https://openalex.org/keywords/ieee-floating-point","display_name":"IEEE floating point","score":0.44574418663978577},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4350399374961853},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32434868812561035},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.29446038603782654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1880837082862854},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.08906272053718567}],"concepts":[{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.8806494474411011},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.8404486179351807},{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.8074072599411011},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6945590376853943},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6742050647735596},{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.637241780757904},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5240314602851868},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5097048282623291},{"id":"https://openalex.org/C35912277","wikidata":"https://www.wikidata.org/wiki/Q1243369","display_name":"Double-precision floating-point format","level":3,"score":0.49352729320526123},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.4730842709541321},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.46106773614883423},{"id":"https://openalex.org/C137231763","wikidata":"https://www.wikidata.org/wiki/Q828287","display_name":"IEEE floating point","level":3,"score":0.44574418663978577},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4350399374961853},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32434868812561035},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.29446038603782654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1880837082862854},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.08906272053718567},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1046192.1046264","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1046192.1046264","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 ACM/SIGDA 13th international symposium on Field-programmable gate arrays","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2596474508","https://openalex.org/W3215589575","https://openalex.org/W1573821047","https://openalex.org/W2565957982","https://openalex.org/W2730658480","https://openalex.org/W3193325075","https://openalex.org/W2587538765","https://openalex.org/W2797902698","https://openalex.org/W2169016399","https://openalex.org/W2576390192"],"abstract_inverted_index":{"The":[0,15],"general":[1],"computing":[2],"world":[3],"settled":[4],"on":[5,25,85],"radix":[6,88,109,119,128],"2":[7,129],"floating":[8,73],"point":[9,74],"representations":[10,90,110],"over":[11],"three":[12],"decades":[13],"ago.":[14],"analyses":[16],"which":[17,65,101],"led":[18],"to":[19,37,66,77,94],"this":[20],"choice":[21],"were":[22],"all":[23],"based":[24],"the":[26,30,46,68,78,103],"underlying":[27],"premise":[28],"that":[29],"goal":[31],"of":[32,43,49,57,70,81,105],"a":[33,60,71,118],"floating-point":[34,89],"representation":[35],"is":[36],"maximize":[38],"numerical":[39,53,139],"accuracy":[40,54],"per":[41,55],"bit":[42],"data.":[44],"However,":[45],"unique":[47],"nature":[48],"FPGA-based":[50,95],"computations":[51],"makes":[52],"unit":[56],"FPGA":[58,112],"resources":[59,113],"more":[61,114],"important":[62],"measure":[63],"by":[64],"judge":[67],"usefulness":[69],"given":[72],"representation.":[75],"Due":[76],"high":[79,98],"cost":[80],"shifters":[82],"as":[83],"implemented":[84],"FPGAs,":[86],"higher":[87],"are":[91],"uniquely":[92],"suited":[93],"computations,":[96],"especially":[97],"precision":[99],"calculations":[100],"require":[102],"support":[104],"denormalized":[106],"numbers.":[107],"Higher":[108],"use":[111],"efficiently.":[115],"For":[116],"example,":[117],"16":[120],"adder":[121],"requires":[122],"20%":[123],"less":[124],"LUTs":[125],"than":[126],"its":[127],"counterpart,":[130],"while":[131],"delivering":[132],"equal":[133],"worst-case":[134],"and":[135],"better":[136],"average":[137],"case":[138],"accuracy.":[140]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
