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Research on the New Representation of Number in the Computer and its Influence to Numerical Computation.

Research Project

Project/Area Number 58840001
Research Category

Grant-in-Aid for Developmental Scientific Research

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionWaseda University

Principal Investigator

NAKASHIMA Katsuya  早稲田大学, 理工, 教授 (00063305)

Project Period (FY) 1983 – 1985
Project Status Completed (Fiscal Year 1985)
Budget Amount *help
¥13,000,000 (Direct Cost: ¥13,000,000)
Fiscal Year 1985: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1984: ¥4,000,000 (Direct Cost: ¥4,000,000)
Fiscal Year 1983: ¥6,000,000 (Direct Cost: ¥6,000,000)
KeywordsNew number system / Numerical computation / Rational computation / 多倍長数計算
Research Abstract

The purpose of this research is to establish new standard number system of computers and new computer architecture suitable for the system. As the results of the research from 1983 to 1985, " Data Length Independent Real Number Representation Based on DoubleExponential Cut II " by Hozumi Hamada received the Paper Prize 1983 from the Information Processing Society of Japan. Also the Central Research Laboratory (CRL) of Hitachi Ltd. prints the table of Hamada number URR on the cover of its introductory pamphlet where URR means ' Universal Representation of Real number' named by Hamada. The hardware which treats URR was made. It realize basic seven subroutines in the subroutine package by hardware and treats URR number very quickly. The important characteristics of URR is as follows:
1. URR can represent any small and any large number.
2. Over-flow and under-flow at the computation of URR number never occur.
3. The portability of URR numbers between different computers is very easy.

Report

(1 results)
  • 1985 Final Research Report Summary
  • Research Products

    (10 results)

All Other

All Publications (10 results)

  • [Publications] 情報処理学会論文誌. 24-2. (1983)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1985 Final Research Report Summary
  • [Publications] コンピュータ ソフトウェア. 1-3. (1984)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1985 Final Research Report Summary
  • [Publications] IEEE Tokyo Section. 23. (1984)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1985 Final Research Report Summary
  • [Publications] 情報処理. 26-11. (1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1985 Final Research Report Summary
  • [Publications] Proc.6th Math.Program.Symp.(1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1985 Final Research Report Summary
  • [Publications] Johoshori Gakkai Ronbunshi. 24- 2. (1983)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1985 Final Research Report Summary
  • [Publications] Konpyuta Sofutouea. 1- 3. (1984)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1985 Final Research Report Summary
  • [Publications] IEEE Tokyo Section "Denshi Tokyo". 23. (1984)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1985 Final Research Report Summary
  • [Publications] Johoshori. 26-11. (1985)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1985 Final Research Report Summary
  • [Publications] Proc. 6th Math. Programming Symposium. (1985)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1985 Final Research Report Summary

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Published: 1987-03-31   Modified: 2016-04-21  

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