Addition of Integers in a Computer Memory: Information Theory Approach

Vladimir B. BALAKIRSKY  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E83-A   No.10   pp.1929-1935
Publication Date: 2000/10/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Code for Computer Memory
Keyword: 
encoding,  decoding,  multi-user communication,  addition,  parallel processing,  

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Summary: 
The encoding procedure that allows one to represent integers by binary vectors (codewords) in such a way that addition is replaced with the OR operation applied to these vectors is described. The codeword of the sum is constructed using the decoding algorithm. As a result, many of the transformations can be realized using parallel processing, and the method can be considered as a competitor to existing computer arithmetic.