{"id":"https://openalex.org/W2141388876","doi":"https://doi.org/10.1109/tcsii.2011.2148970","title":"Design and Application of Faithfully Rounded and Truncated Multipliers With Combined Deletion, Reduction, Truncation, and Rounding","display_name":"Design and Application of Faithfully Rounded and Truncated Multipliers With Combined Deletion, Reduction, Truncation, and Rounding","publication_year":2011,"publication_date":"2011-05-01","ids":{"openalex":"https://openalex.org/W2141388876","doi":"https://doi.org/10.1109/tcsii.2011.2148970","mag":"2141388876"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2011.2148970","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2148970","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5110252311","display_name":"Hou-Jen Ko","orcid":null},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Hou-Jen Ko","raw_affiliation_strings":["Department of Computer Science and Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan","Department of Computer Science and Engineering, National Sun Yat-sen University,  Kaohsiung, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan","institution_ids":["https://openalex.org/I142974352"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, National Sun Yat-sen University,  Kaohsiung, Taiwan","institution_ids":["https://openalex.org/I142974352"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088586836","display_name":"Shen\u2010Fu Hsiao","orcid":"https://orcid.org/0000-0002-4627-570X"},"institutions":[{"id":"https://openalex.org/I142974352","display_name":"National Sun Yat-sen University","ror":"https://ror.org/00mjawt10","country_code":"TW","type":"education","lineage":["https://openalex.org/I142974352"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Shen-Fu Hsiao","raw_affiliation_strings":["Department of Computer Science and Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan","Department of Computer Science and Engineering, National Sun Yat-sen University,  Kaohsiung, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan","institution_ids":["https://openalex.org/I142974352"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, National Sun Yat-sen University,  Kaohsiung, Taiwan","institution_ids":["https://openalex.org/I142974352"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110252311"],"corresponding_institution_ids":["https://openalex.org/I142974352"],"apc_list":null,"apc_paid":null,"fwci":6.3591,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.96880266,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"58","issue":"5","first_page":"304","last_page":"308"},"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":1.0,"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":1.0,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9991999864578247,"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/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.9991000294685364,"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/rounding","display_name":"Rounding","score":0.8551971912384033},{"id":"https://openalex.org/keywords/adder","display_name":"Adder","score":0.853904664516449},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.6482921838760376},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6073306798934937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6067246794700623},{"id":"https://openalex.org/keywords/booths-multiplication-algorithm","display_name":"Booth's multiplication algorithm","score":0.5948172211647034},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5109056830406189},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5035611987113953},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4651551842689514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3288952112197876},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09281730651855469},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08015769720077515}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.8551971912384033},{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.853904664516449},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.6482921838760376},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6073306798934937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6067246794700623},{"id":"https://openalex.org/C72475854","wikidata":"https://www.wikidata.org/wiki/Q477049","display_name":"Booth's multiplication algorithm","level":4,"score":0.5948172211647034},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5109056830406189},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5035611987113953},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4651551842689514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3288952112197876},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09281730651855469},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08015769720077515},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2011.2148970","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2148970","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1587217691","https://openalex.org/W1910331302","https://openalex.org/W1983849809","https://openalex.org/W2040056309","https://openalex.org/W2065663173","https://openalex.org/W2087670726","https://openalex.org/W2093048725","https://openalex.org/W2096588620","https://openalex.org/W2099198033","https://openalex.org/W2126024912","https://openalex.org/W2135060305","https://openalex.org/W2138179663","https://openalex.org/W2140708000","https://openalex.org/W2141957537","https://openalex.org/W2168891461","https://openalex.org/W2172132103"],"related_works":["https://openalex.org/W2361998534","https://openalex.org/W4328026915","https://openalex.org/W2150099508","https://openalex.org/W3157022054","https://openalex.org/W3153333947","https://openalex.org/W2185364297","https://openalex.org/W3154180206","https://openalex.org/W2363097544","https://openalex.org/W2472732946","https://openalex.org/W2163649344"],"abstract_inverted_index":{"A":[0],"faithfully":[1,63],"rounded":[2],"truncated":[3,64,77],"multiplier":[4,65,78],"design":[5,79],"is":[6,13],"presented":[7],"where":[8],"the":[9,30,44,58,61,76,86,91],"maximum":[10],"absolute":[11],"error":[12],"guaranteed":[14],"to":[15,42,85],"be":[16],"no":[17],"more":[18,71],"than":[19,72],"1":[20],"unit":[21],"of":[22,36,46,60,70],"least":[23],"position.":[24],"The":[25],"proposed":[26,62],"method":[27],"jointly":[28],"considers":[29],"deletion,":[31],"reduction,":[32],"truncation,":[33],"and":[34,49],"rounding":[35],"partial":[37],"product":[38],"bits":[39],"in":[40,90],"order":[41],"minimize":[43],"number":[45],"full":[47],"adders":[48,51],"half":[50],"during":[52],"tree":[53],"reduction.":[54],"Experimental":[55],"results":[56],"demonstrate":[57],"efficiency":[59],"with":[66],"area":[67],"saving":[68],"rates":[69],"30%.":[73],"In":[74],"addition,":[75],"also":[80],"has":[81],"smaller":[82,87],"delay":[83],"due":[84],"bit":[88],"width":[89],"final":[92],"carry-propagate":[93],"adder.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}