{"id":"https://openalex.org/W7162463050","doi":"https://doi.org/10.48550/arxiv.2605.24665","title":"An Energy-Efficient Approximate Posit Multiply-Divide Unit","display_name":"An Energy-Efficient Approximate Posit Multiply-Divide Unit","publication_year":2026,"publication_date":"2026-05-23","ids":{"openalex":"https://openalex.org/W7162463050","doi":"https://doi.org/10.48550/arxiv.2605.24665"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.24665","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.24665","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.24665","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5094006187","display_name":"Rishi Thotli","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thotli, Rishi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092052186","display_name":"Aditya Anirudh Jonnalagadda","orcid":"https://orcid.org/0009-0004-9029-6403"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jonnalagadda, Aditya Anirudh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137032101","display_name":"Rishabh Hulsurkar","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hulsurkar, Rishabh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136996455","display_name":"Anil Kumar Uppugunduru","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Uppugunduru, Anil Kumar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057539175","display_name":"Sreehari Veeramachaneni","orcid":"https://orcid.org/0000-0001-7744-4580"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Veeramachaneni, Sreehari","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137080636","display_name":"Syed Ershad Ahmed","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ahmed, Syed Ershad","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5050145279","display_name":"John Gustafson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gustafson, John","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.7307999730110168,"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":0.7307999730110168,"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":0.24500000476837158,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.013899999670684338,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.7498999834060669},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6080999970436096},{"id":"https://openalex.org/keywords/division-algorithm","display_name":"Division algorithm","score":0.5764999985694885},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.5598999857902527},{"id":"https://openalex.org/keywords/subtraction","display_name":"Subtraction","score":0.5437999963760376},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.5026000142097473},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.4415999948978424},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.4122999906539917},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.4016000032424927}],"concepts":[{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.7498999834060669},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6080999970436096},{"id":"https://openalex.org/C190715199","wikidata":"https://www.wikidata.org/wiki/Q3526714","display_name":"Division algorithm","level":3,"score":0.5764999985694885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5637999773025513},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.5598999857902527},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5547999739646912},{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.5437999963760376},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.5026000142097473},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.4415999948978424},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.4122999906539917},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4097999930381775},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.4016000032424927},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3986999988555908},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.387800008058548},{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.3725000023841858},{"id":"https://openalex.org/C65232700","wikidata":"https://www.wikidata.org/wiki/Q5656403","display_name":"Hardware architecture","level":3,"score":0.35269999504089355},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.35040000081062317},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.34540000557899475},{"id":"https://openalex.org/C125257309","wikidata":"https://www.wikidata.org/wiki/Q131752","display_name":"Greatest common divisor","level":2,"score":0.3337000012397766},{"id":"https://openalex.org/C157922185","wikidata":"https://www.wikidata.org/wiki/Q173198","display_name":"Logic synthesis","level":3,"score":0.3181999921798706},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3107999861240387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2985999882221222},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.29350000619888306},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C134835016","wikidata":"https://www.wikidata.org/wiki/Q690265","display_name":"Lookup table","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.26899999380111694},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.25290000438690186}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.24665","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.24665","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.24665","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.24665","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7215057611465454,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"modern":[1],"computing":[2],"units,":[3],"division":[4,29,68,75,121],"operations":[5,12,157],"are":[6],"generally":[7],"slower":[8],"than":[9,22],"other":[10],"arithmetic":[11],"and":[13,20,41,56,99,120,185],"require":[14],"more":[15],"resources,":[16],"such":[17],"as":[18],"area":[19,209],"power,":[21],"multiplication.":[23],"To":[24],"reduce":[25],"the":[26,36,39,44,51,63,67,78,87,130,151,159,172,179,208,217,220,225],"delay,":[27],"fast":[28],"algorithms":[30],"use":[31],"an":[32,84,197],"initial":[33],"approximation":[34],"of":[35,38,58,66,149,161,193,207,219,227],"reciprocal":[37,124],"divisor":[40,107],"iteratively":[42],"approach":[43],"correct":[45],"value,":[46],"followed":[47],"by":[48,109],"multiplication":[49,119,228],"with":[50,142],"dividend.":[52],"The":[53,91,123,166,212],"hardware":[54,115,140,147],"architecture":[55,116,168],"choice":[57],"algorithm":[59],"can":[60],"significantly":[61,155],"alter":[62],"overall":[64],"performance":[65],"unit.":[69],"This":[70],"paper":[71,111],"proposes":[72],"a":[73,95,100,114,133,187],"reduced-accuracy":[74],"method":[76,153],"for":[77,164],"posit":[79,131],"number":[80],"system,":[81],"which":[82],"is":[83,210],"alternative":[85],"to":[86,104,137,145,196],"traditional":[88],"floating-point":[89],"system.":[90],"proposed":[92,152,167,221],"design":[93,199],"uses":[94],"Look-Up":[96],"Table":[97],"(LUT)":[98],"single":[101],"subtraction":[102],"operation":[103,141],"perform":[105,138],"approximate":[106],"reciprocation":[108],"leveragingthemathematicalsymmetriesofthepositnumbersystem.The":[110],"also":[112,215],"presents":[113],"that":[117,200],"combines":[118],"units.":[122],"calculation":[125],"has":[126],"been":[127],"incorporated":[128],"into":[129],"Decoder,":[132],"common":[134],"unit":[135],"required":[136],"any":[139],"posits.":[143],"Compared":[144],"existing":[146,198],"implementations":[148],"division,":[150,203],"requires":[154],"fewer":[156],"at":[158,178],"cost":[160],"perfect":[162],"rounding":[163],"division.":[165],"was":[169],"simulated":[170],"using":[171],"Cadence":[173],"RTL":[174],"v7.1":[175],"E2":[176],"compiler":[177],"TSMC":[180],"90":[181],"nm":[182],"process":[183],"node":[184],"achieves":[186],"Power":[188],"Delay":[189],"Product":[190],"(PDP)":[191],"reduction":[192],"78.8%":[194],"compared":[195],"performs":[201],"exact":[202],"while":[204],"only":[205],"46.33%":[206],"required.":[211],"experimental":[213],"results":[214],"demonstrate":[216],"effectiveness":[218],"system":[222],"in":[223,229],"improving":[224],"efficiency":[226],"posit-based":[230],"systems.":[231]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-27T00:00:00"}