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Residue number system

A residue number system or residue numeral system (RNS) is a numeral system representing integers by their values modulo several pairwise coprime integers called the moduli. This representation is allowed by the Chinese remainder theorem, which asserts that, if M is the product of the moduli, there is, in an interval of length M, exactly one integer…

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Definition

Arithmetic operations

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Residue number system

Nodes25
Edges24
Triples178
Avg. degree1.92
Density0.08
Components1

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Residue number system

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related to Further reading · 169
Residue number system → ACM, Addison Wesley, Algebraic Computation, Amir Sabbagh, Amos, Ananda, Applications, Archived, Association, AURC, Automation, Bajard, Benjamin, Berlin, Bernoulli, Birkhäuser, Bivariate Integral Polynomials, Boolean Functions, Chervyakov, Chinese
related to Arithmetic operations · 2
Residue number system → For, More
related to Definition · 1
Residue number system → Residue

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Important terminology

residue computation arithmetic system doi integers number 10 numeral systems moduli operations division applications multi-modular modulo residues computer integer modular

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SubjectPredicateObjectConfidenceSrc
magnitude comparisoninstance ofoperations0.80text
sign computationinstance ofoperations0.80text
overflow detectioninstance ofoperations0.80text
scalinginstance ofoperations0.80text
and division are difficult to perform in a residue number system.ComparisonIf two integers are equalinstance ofoperations0.80text
then all their residues are equalinstance ofoperations0.80text
Residue number systemrelated to Arithmetic operationsFor0.60section
Residue number systemrelated to Arithmetic operationsMore0.60section
Residue number systemrelated to DefinitionResidue0.60section
Residue number systemrelated to Further readingSzabo0.60section
Residue number systemrelated to Further readingNicholas0.60section
Residue number systemrelated to Further readingTanaka0.60section

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