• DocumentCode
    3008874
  • Title

    On-line multiplication on signed flexible interval representation system

  • Author

    Taweepanyayote, Pakawadee ; Surarerks, Athasit

  • Author_Institution
    ELITE Lab., Chulalongkorn Univ., Bangkok, Thailand
  • fYear
    2011
  • fDate
    21-24 Nov. 2011
  • Firstpage
    1164
  • Lastpage
    1169
  • Abstract
    Flexible Interval Representation System (FIRS) cannot be used for performing an on-line multiplication. In this work, we thus propose a signed Flexible Interval Representation System (signed-FIRS) in the binary base (β = 2). The completeness of our system is shown by introducing a conversion algorithm for a classical interval system into our system. The on-line multiplication in signed-FIRS is also proposed together with the proof of correctness. The delay obtained from the algorithm is 4 in binary base.
  • Keywords
    digital arithmetic; binary base; conversion algorithm; online multiplication; signed flexible interval representation system; Additives; Complexity theory; Delay; Educational institutions; Finite impulse response filter; Laboratories; Upper bound; flexible interval representation system; interval arithmetic; on-line multiplication; signed flexible interval representation system;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    TENCON 2011 - 2011 IEEE Region 10 Conference
  • Conference_Location
    Bali
  • ISSN
    2159-3442
  • Print_ISBN
    978-1-4577-0256-3
  • Type

    conf

  • DOI
    10.1109/TENCON.2011.6129295
  • Filename
    6129295