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Published Articles >> Table of Contents >> Abstract
13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97)
p. 34
On Radix Representation of Rings
Asger Munk Nielsen, Dept. of Math. & Comput. Sci., Odense Univ., Denmark
Peter Kornerup, Dept. of Math. & Comput. Sci., Odense Univ., Denmark
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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ARITH.1997.614877
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| Abstract |
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This paper presents a thorough analysis of radix representations of elements from general rings. In particular, we study the questions of redundancy, completeness and mappings into such representations. After a brief description of the more usual representations of integers, a more detailed analysis of various complex number systems is performed. This includes the "classical" complex number systems for the Gaussian integers, as well as the Eisenstein integers.
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 Additional Information
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Index Terms- arithmetic, radix representation, rings, redundancy, completeness, mappings, complex number systems, Gaussian integers, Eisenstein integers
Citation:
Asger Munk Nielsen, Peter Kornerup,
"On Radix Representation of Rings,"
arith,
p. 34,
13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97),
1997
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