{"title":"A hardware algorithm for integer division","authors":"N. Takagi, Shunsuke Kadowaki, K. Takagi","doi":"10.1109/ARITH.2005.6","DOIUrl":null,"url":null,"abstract":"A hardware algorithm for integer division is proposed. It is based on the digit-recurrence, non-restoring division algorithm. Fast computation is achieved by the use of the radix-2 signed-digit representation. The algorithm does not require normalization of the divisor, and hence, does not require area-consuming leading one (or zero) detection nor shifts of variable-amount. Combinational (unfolded) implementation of the algorithm yields a regularly structured array divider, where pipelining is possible for increasing the throughput. Sequential implementation yields a compact divider.","PeriodicalId":194902,"journal":{"name":"17th IEEE Symposium on Computer Arithmetic (ARITH'05)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"31","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"17th IEEE Symposium on Computer Arithmetic (ARITH'05)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.2005.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 31
Abstract
A hardware algorithm for integer division is proposed. It is based on the digit-recurrence, non-restoring division algorithm. Fast computation is achieved by the use of the radix-2 signed-digit representation. The algorithm does not require normalization of the divisor, and hence, does not require area-consuming leading one (or zero) detection nor shifts of variable-amount. Combinational (unfolded) implementation of the algorithm yields a regularly structured array divider, where pipelining is possible for increasing the throughput. Sequential implementation yields a compact divider.
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