Hierarchical residue number systems with small moduli and simple converters

DOI10.2478/V10006-011-0013-2zbMath1221.94108OpenAlexW2079255843MaRDI QIDQ3016286

Tadeusz Tomczak

Publication date: 15 July 2011

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/208032

zbMATH Keywords

VLSIresidue number systemdigital circuitsdigital arithmetic

Mathematics Subject Classification ID

Circuits, networks (94C99) Congruences; primitive roots; residue systems (11A07) Mathematical problems of computer architecture (68M07) Computational number theory (11Y99)

Cites Work

• Unnamed Item
• An improved residue-to-binary converter
• Residue-to-binary converters based on new Chinese remainder theorems
• A high-speed residue-to-binary converter for three-moduli (2/sup k/, 2/sup k/-1, 2/sup k-1/-1) RNS and a scheme for its VLSI implementation
• A Residue-to-Binary Converter for a New Five-Moduli Set
• A study of the residue-to-binary converters for the three-moduli sets
• An efficient reverse converter for the 4-moduli set [2/sup n/ - 1, 2/sup n, 2/sup n + 1, 2/sup 2n/ + 1 based on the new chinese remainder theorem]
• Adder based residue to binary number converters for (2/sup n/-1, 2/sup n/, 2/sup n/+1)

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