DocumentCode
1415461
Title
Analysis of delays in converting from a redundant representation
Author
Walter, C.D.
Author_Institution
Dept. of Comput., Univ. of Manchester Inst. of Sci. & Technol., UK
Volume
144
Issue
4
fYear
1997
fDate
7/1/1997 12:00:00 AM
Firstpage
219
Lastpage
221
Abstract
The use of a redundant number system allows many arithmetic operations to process digits sequentially, most significant digit first. Final conversion back to a standard binary representation can require time to propagate any carries. This paper analyses and reports on the delays encountered when this is done by an online algorithm, giving a good upper bound on the expected delay. The delay is approximately log,k for the kth digit in a representation with base r
Keywords
computational complexity; delays; redundant number systems; arithmetic operations; binary representation; delays; kth digit; online algorithm; redundant number system; redundant representation; upper bound;
fLanguage
English
Journal_Title
Computers and Digital Techniques, IEE Proceedings -
Publisher
iet
ISSN
1350-2387
Type
jour
DOI
10.1049/ip-cdt:19971284
Filename
612279
Link To Document