{"id":"https://openalex.org/W2049896844","doi":"https://doi.org/10.1145/6110.214399","title":"A recursive algorithm for binary multiplication and its implementation","display_name":"A recursive algorithm for binary multiplication and its implementation","publication_year":1985,"publication_date":"1985-11-01","ids":{"openalex":"https://openalex.org/W2049896844","doi":"https://doi.org/10.1145/6110.214399","mag":"2049896844"},"language":"en","primary_location":{"id":"doi:10.1145/6110.214399","doi":"https://doi.org/10.1145/6110.214399","is_oa":true,"landing_page_url":"https://doi.org/10.1145/6110.214399","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/6110.214399","source":{"id":"https://openalex.org/S193109227","display_name":"ACM Transactions on Computer Systems","issn_l":"0734-2071","issn":["0734-2071","1557-7333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computer Systems","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/6110.214399","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081408760","display_name":"Renato De Mori","orcid":"https://orcid.org/0000-0002-2083-9095","observed_orcids":["https://orcid.org/0000-0002-2083-9095"]},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Renato De Mori","raw_affiliation_strings":["Department of Computer Science, Concordia University, 1455 De Maisonneuve, Blvd. West, Montreal, Quebec, Canada H3G 1M8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Concordia University, 1455 De Maisonneuve, Blvd. West, Montreal, Quebec, Canada H3G 1M8","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065576817","display_name":"Regis Cardin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"R\u00e9gis Cardin","raw_affiliation_strings":["Department of Computer Science, Concordia University, 1455 De Maisonneuve, Blvd. West, Montreal, Quebec, Canada H3G 1M8"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Concordia University, 1455 De Maisonneuve, Blvd. West, Montreal, Quebec, Canada H3G 1M8","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I60158472"],"apc_list":null,"apc_paid":null,"fwci":0.5426,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62738443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"3","issue":"4","first_page":"294","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.447299987077713,"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"}},"topics":[{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.447299987077713,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.3490999937057495,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.06270000338554382,"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/binary-multiplication","display_name":"binary multiplication","score":0.8880000114440918},{"id":"https://openalex.org/keywords/recursive-algorithm","display_name":"recursive algorithm","score":0.8090000152587891},{"id":"https://openalex.org/keywords/parallel-multiplier","display_name":"parallel multiplier","score":0.9829999804496765},{"id":"https://openalex.org/keywords/two-s-complement-arithmetic","display_name":"two's complement arithmetic","score":0.7570000290870667},{"id":"https://openalex.org/keywords/asynchronous-circuits","display_name":"asynchronous circuits","score":0.6349999904632568},{"id":"https://openalex.org/keywords/synchronous-circuits","display_name":"synchronous circuits","score":0.9470000267028809},{"id":"https://openalex.org/keywords/pipelined-multiplier","display_name":"pipelined multiplier","score":0.6980000138282776},{"id":"https://openalex.org/keywords/area-complexity","display_name":"area complexity","score":0.6000000238418579},{"id":"https://openalex.org/keywords/time-complexity","display_name":"time complexity","score":0.7110000252723694}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7928966283798218},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.6927428245544434},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6914165616035461},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.6634937524795532},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5980669260025024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5937939882278442},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5447332859039307},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4545014798641205},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3734655976295471},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.37331944704055786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19988024234771729},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/6110.214399","doi":"https://doi.org/10.1145/6110.214399","is_oa":true,"landing_page_url":"https://doi.org/10.1145/6110.214399","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/6110.214399","source":{"id":"https://openalex.org/S193109227","display_name":"ACM Transactions on Computer Systems","issn_l":"0734-2071","issn":["0734-2071","1557-7333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computer Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/6110.214399","doi":"https://doi.org/10.1145/6110.214399","is_oa":true,"landing_page_url":"https://doi.org/10.1145/6110.214399","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/6110.214399","source":{"id":"https://openalex.org/S193109227","display_name":"ACM Transactions on Computer Systems","issn_l":"0734-2071","issn":["0734-2071","1557-7333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computer Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2049896844.pdf","grobid_xml":"https://content.openalex.org/works/W2049896844.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1531368347","https://openalex.org/W1578458555","https://openalex.org/W1966929515","https://openalex.org/W1967304141","https://openalex.org/W1983849809","https://openalex.org/W2039276654","https://openalex.org/W2041131577","https://openalex.org/W2047825412","https://openalex.org/W2048773562","https://openalex.org/W2075255008","https://openalex.org/W2087683261","https://openalex.org/W2095746339","https://openalex.org/W2112637319","https://openalex.org/W2112831016","https://openalex.org/W2154493476","https://openalex.org/W2157847763"],"related_works":["https://openalex.org/W2021103470","https://openalex.org/W1966133222","https://openalex.org/W2114427352","https://openalex.org/W2139370427","https://openalex.org/W1888241759","https://openalex.org/W2028319603","https://openalex.org/W2077878343","https://openalex.org/W8159967","https://openalex.org/W2039642834","https://openalex.org/W1722319089"],"abstract_inverted_index":{"A":[0],"new":[1],"recursive":[2,81],"algorithm":[3],"for":[4,19,61,108],"deriving":[5],"the":[6,41,49,53,68,75,96],"layout":[7],"of":[8,22,52,64,70],"parallel":[9],"multipliers":[10],"is":[11,26,55,90,93],"presented.":[12],"Based":[13],"on":[14,79],"this":[15],"algorithm,":[16,82],"a":[17,34,80,83],"network":[18,29,54],"performing":[20],"multiplications":[21],"two's":[23],"complement":[24],"numbers":[25],"proposed.":[27],"The":[28],"can":[30,98],"be":[31,44],"implemented":[32],"in":[33,67],"synchronous":[35],"or":[36],"an":[37],"asynchronous":[38],"way.":[39],"If":[40],"factors":[42],"to":[43,74],"multiplied":[45],"have":[46],"N":[47,58,65,88],"bits,":[48],"area":[50],"complexity":[51,85,103],"O":[56,86,104],"(":[57],"2":[59],")":[60,89],"practical":[62],"values":[63],"as":[66],"case":[69],"cellular":[71],"multipliers.":[72],"Due":[73],"design":[76],"approach":[77],"based":[78],"time":[84],"(log":[87],"achieved.":[91],"It":[92],"shown":[94],"how":[95],"structure":[97],"he":[99],"pipelined":[100],"with":[101],"period":[102],"(1)":[105],"and":[106,110],"used":[107],"single":[109],"double":[111],"precision":[112],"multiplication.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2016-06-24T00:00:00"}