Title :
Fast division algorithm with a small lookup table
Author :
Hung, Patrick ; Fahmy, Hossam ; Mencer, Oskar ; Flynn, Michael J.
Author_Institution :
Comput. Syst. Lab., Stanford Univ., CA, USA
Abstract :
This paper presents a new division algorithm, which requires two multiplication operations and a single lookup in a small table. The division algorithm takes two steps. The table lookup and the first multiplication are processed concurrently in the first step, and the second multiplication is executed in the next step. This divider uses a single multiplier and a lookup table with 2/sup m/(2m+1) bits to produce 2 m-bit results that are guaranteed correct to one ulp. By using a multiplier and a 12.5 KB lookup table, the basic algorithm generates a 24-bit result in two cycles.
Keywords :
dividing circuits; fixed point arithmetic; series (mathematics); table lookup; 24 bit; Taylor series expansion; divider; fast division algorithm; fixed point numbers; multiplication operations; multiplier; signal processing; small lookup table; Application software; Computer graphics; Delay; Encoding; Equations; Iterative algorithms; Laboratories; Signal processing algorithms; Table lookup; Taylor series;
Conference_Titel :
Signals, Systems, and Computers, 1999. Conference Record of the Thirty-Third Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-7803-5700-0
DOI :
10.1109/ACSSC.1999.831992
