DocumentCode
3164369
Title
An integer division method using characteristics of integer reciprocals
Author
Srinivasan, P. ; Rao, T.R.N. ; Petry, F.E.
Author_Institution
Dept. of Comput. Sci., Southwestern Louisiana Univ., Lafayette, LA, USA
fYear
1990
fDate
1-4 Apr 1990
Firstpage
462
Abstract
An algorithm for integer division that is based on the periodic nature of reciprocals of odd integers is presented. The method consists of the determination of the value in one period of the reciprocal of odd divisor d (referred to as the B -sequence), multiplication of the dividend D by this value to produce D ´, and the division of D ´ by 2n-1, where n is the length of the B -sequence. The generation of the B -sequence and division by 2n-1 are addressed in detail. Proofs of correctness are provided for both processes. The algorithms are suitable for VLSI implementation. An approach to implementation using systolic arrays is presented
Keywords
VLSI; digital arithmetic; systolic arrays; VLSI; algorithm; integer division method; integer reciprocals; systolic arrays; very large scale integration; Algorithm design and analysis; Approximation algorithms; Computer science;
fLanguage
English
Publisher
ieee
Conference_Titel
Southeastcon '90. Proceedings., IEEE
Conference_Location
New Orleans, LA
Type
conf
DOI
10.1109/SECON.1990.117856
Filename
117856
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