An Overflow/Underflow-Free Floating-Point Representation of Numbers.

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Author(s)

    • Shouichi Matsui
    • Information System Department, Economic Research Center, Central Research Institute of Electric Power Industry
    • Masao Iri
    • Department of Mathematical Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo

Abstract

A new floating-point representation of numbers is proposed to cope systematically with the troubles in numerical computation due to exponent overflow/underflow in conventional floating-point representations. The proposed representation resolves the phenomena of overflow and underflow and at the same time attains higher precision for numbers which are neither too large nor too small by making mobile the boundary between the field for exponent and that for mantissa in a word. A number system including "non-numbers" is also proposed which is closed with respect to the four arithmetic operations. The effectiveness of the proposed system is shown by numerical examples.A new floating-point representation of numbers is proposed to cope systematically with the troubles in numerical computation due to exponent overflow/underflow in conventional floating-point representations. The proposed representation resolves the phenomena of overflow and underflow and, at the same time, attains higher precision for numbers which are neither too large nor too small, by making mobile the boundary between the field for exponent and that for mantissa in a word. A number system including "non-numbers" is also proposed which is closed with respect to the four arithmetic operations. The effectiveness of the proposed system is shown by numerical examples.

A new floating-point representation of numbers is proposed to cope systematically with the troubles in numerical computation due to exponent overflow/underflow in conventional floating-point representations. The proposed representation resolves the phenomena of overflow and underflow and, at the same time, attains higher precision for numbers which are neither too large nor too small, by making mobile the boundary between the field for exponent and that for mantissa in a word. A number system including "non-numbers" is also proposed which is closed with respect to the four arithmetic operations. The effectiveness of the proposed system is shown by numerical examples.

Journal

  • Journal of Information Processing

    Journal of Information Processing 4(3), 123-133, 1981-11-05

    Information Processing Society of Japan (IPSJ)

Codes

  • NII Article ID (NAID)
    110002673298
  • NII NACSIS-CAT ID (NCID)
    AA00700121
  • Text Lang
    ENG
  • Article Type
    Article
  • ISSN
    1882-6652
  • Data Source
    NII-ELS  IPSJ 
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