Title :
On-line multiplication on signed flexible interval representation system
Author :
Taweepanyayote, Pakawadee ; Surarerks, Athasit
Author_Institution :
ELITE Lab., Chulalongkorn Univ., Bangkok, Thailand
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;
Conference_Titel :
TENCON 2011 - 2011 IEEE Region 10 Conference
Conference_Location :
Bali
Print_ISBN :
978-1-4577-0256-3
DOI :
10.1109/TENCON.2011.6129295
