Addition of Integers in a Computer Memory: Information Theory Approach
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.10 pp.1929-1935
- Publication Date
- 2000/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Code for Computer Memory
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Keyword
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Vladimir B. BALAKIRSKY, "Addition of Integers in a Computer Memory: Information Theory Approach" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 10, pp. 1929-1935, October 2000, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_10_1929/_p
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@ARTICLE{e83-a_10_1929,
author={Vladimir B. BALAKIRSKY, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Addition of Integers in a Computer Memory: Information Theory Approach},
year={2000},
volume={E83-A},
number={10},
pages={1929-1935},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={October},}
Copy
TY - JOUR
TI - Addition of Integers in a Computer Memory: Information Theory Approach
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1929
EP - 1935
AU - Vladimir B. BALAKIRSKY
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2000
AB - 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.
ER -
English
