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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.E83A
No.10
pp.19291935 Publication Date: 2000/10/25
Online ISSN:
DOI:
Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications) Category: Code for Computer Memory Keyword: encoding, decoding, multiuser communication, addition, parallel processing,
Full Text: PDF>>
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.

