{"id":"https://openalex.org/W2015070423","doi":"https://doi.org/10.1145/1478786.1478839","title":"High speed division for binary computers","display_name":"High speed division for binary computers","publication_year":1971,"publication_date":"1971-01-01","ids":{"openalex":"https://openalex.org/W2015070423","doi":"https://doi.org/10.1145/1478786.1478839","mag":"2015070423"},"language":"en","primary_location":{"id":"doi:10.1145/1478786.1478839","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1478786.1478839","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the May 18-20, 1971, spring joint computer conference on - AFIPS '71 (Spring)","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/A5051269232","display_name":"H. Ling","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"H. Ling","raw_affiliation_strings":["International Business Machines Corporation, San Jose, California","International Business Machines Corp. San Jose, California"],"affiliations":[{"raw_affiliation_string":"International Business Machines Corporation, San Jose, California","institution_ids":["https://openalex.org/I1341412227"]},{"raw_affiliation_string":"International Business Machines Corp. San Jose, California","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051269232"],"corresponding_institution_ids":["https://openalex.org/I1341412227"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16143625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"373","last_page":"373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9951000213623047,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/multiplication","display_name":"Multiplication (music)","score":0.821096658706665},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.7791838645935059},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6143092513084412},{"id":"https://openalex.org/keywords/subtraction","display_name":"Subtraction","score":0.6109928488731384},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5761903524398804},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5624403357505798},{"id":"https://openalex.org/keywords/binary-operation","display_name":"Binary operation","score":0.5298792123794556},{"id":"https://openalex.org/keywords/lookup-table","display_name":"Lookup table","score":0.5242098569869995},{"id":"https://openalex.org/keywords/division-algorithm","display_name":"Division algorithm","score":0.5035988688468933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49869871139526367},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.49779319763183594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4922896921634674},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4783563017845154},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.47239965200424194},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4482705891132355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43772515654563904},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.42734256386756897},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.28504472970962524},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15067389607429504},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07370349764823914}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.821096658706665},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.7791838645935059},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6143092513084412},{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.6109928488731384},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5761903524398804},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5624403357505798},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.5298792123794556},{"id":"https://openalex.org/C134835016","wikidata":"https://www.wikidata.org/wiki/Q690265","display_name":"Lookup table","level":2,"score":0.5242098569869995},{"id":"https://openalex.org/C190715199","wikidata":"https://www.wikidata.org/wiki/Q3526714","display_name":"Division algorithm","level":3,"score":0.5035988688468933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49869871139526367},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.49779319763183594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4922896921634674},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4783563017845154},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.47239965200424194},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4482705891132355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43772515654563904},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.42734256386756897},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.28504472970962524},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15067389607429504},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07370349764823914},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1478786.1478839","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1478786.1478839","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the May 18-20, 1971, spring joint computer conference on - AFIPS '71 (Spring)","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":7,"referenced_works":["https://openalex.org/W1544481369","https://openalex.org/W1605331076","https://openalex.org/W1988014574","https://openalex.org/W1996638458","https://openalex.org/W2009321096","https://openalex.org/W2052363354","https://openalex.org/W2063211902"],"related_works":["https://openalex.org/W2255049992","https://openalex.org/W2119061873","https://openalex.org/W2144659649","https://openalex.org/W2799462564","https://openalex.org/W576725884","https://openalex.org/W2731029811","https://openalex.org/W2036954759","https://openalex.org/W1578186000","https://openalex.org/W184244812","https://openalex.org/W2064782566"],"abstract_inverted_index":{"Beyond":[0],"the":[1,21,25,30,35,55,60,80,84,89,92,94,100,104,116,120,125,135,161,167,170,177,189,199,204],"steps":[2],"of":[3,23,48,83,91,97,103,134,160,169,176,188,198],"SHIFT":[4],"and":[5,34,99],"SUBTRACT,":[6],"division":[7,24,201],"used":[8,57,75],"in":[9,58,76,131],"early":[10],"machines":[11],"generally":[12],"relied":[13],"upon":[14],"Newton's":[15],"method.":[16],"In":[17,145],"order":[18],"to":[19,54],"increase":[20],"speed":[22],"following":[26],"two":[27,194],"approaches,":[28],"namely":[29],"S-R-T":[31,85],"recoding":[32],"method":[33,86,130,150,155],"iterative":[36,61,121,136,162],"multiplication":[37,62,98,122,137,163],"scheme,":[38],"have":[39],"resulted.":[40],"The":[41,173,196],"S-R-T-method":[42],"offering":[43],"an":[44],"average":[45],"shifting":[46,81],"distance":[47,82],"2.6":[49],"bits":[50],"is":[51,113,138,151],"very":[52],"close":[53],"scheme":[56,63,107,202],"Stretch,.2":[59],"providing":[64],"a":[65,129,141,148,185],"quadratic":[66,105],"convergence":[67,106],"rate":[68],"with":[69,88,193,203],"preselected":[70],"starting":[71,101,171],"block":[72],"has":[73,127],"been":[74],"IBM":[77],"360/91.":[78],"However,":[79],"varies":[87],"format":[90],"denominator;":[93],"required":[95],"number":[96],"table":[102],"need":[108],"further":[109],"improvement.":[110],"This":[111],"paper":[112,147],"concerned":[114],"about":[115],"second":[117],"approach,":[118],"i.e.,":[119],"scheme.":[123],"Recently":[124],"author":[126],"developed":[128],"which":[132],"one":[133,159],"replaced":[139],"by":[140,184],"fixed":[142],"point":[143],"subtraction.":[144],"this":[146,153],"better":[149],"developed,":[152],"new":[154],"not":[156],"only":[157],"eliminates":[158],"but":[164],"also":[165,207],"reduces":[166],"size":[168],"table.":[172],"detailed":[174,186],"derivation":[175],"algorithm":[178],"will":[179],"be":[180],"presented":[181],"first,":[182],"followed":[183],"description":[187],"implementation":[190],"procedure":[191],"along":[192],"examples.":[195],"comparison":[197],"proposed":[200],"others":[205],"are":[206],"enclosed.":[208]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}