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Error Correction in Residue Arithmetic
IEEE Transactions on Computers, 1972It is shown how single-error correction in a residue arithmetic system can be accomplished in an efficient and fast manner. Two redundant moduli are necessary. This construction is extended to multiple errors. Another method of error detection or correction for residue arithmetic is also described. Implementation of these methods is considered.
David Mandelbaum
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On the Use of Residue Arithmetic for Computation
IEEE Transactions on Computers, 1974Residue arithmetic offers the possibility of "carryfree" arithmetic as far as the operations of addition, subtraction, and multiplication are concerned. It is faster to implement these operations using residue arithmetic as compared to implementation using binary arithmetic.
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A VLSI Residue Arithmetic Multiplier
IEEE Transactions on Computers, 1982Recently, residue arithmetic has received increased attention in the open literature. Using table lookup methods and high-speed memory, modular arithmetic has been demonstrated. However, the memory size limitation of ECL, bipolar, and high-speed MOS limits the admissible size of the moduli used in the numbering system.
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On implementing the CRT in residue arithmetic
International Journal of Computer Mathematics, 1985Fast and efficient implementation of a residue number to integer converters will be required to design fast residue number systems. This paper addresses the question of hardware implementation and presents several distinctly different supporting archi- tectures. Both designs are analyzed and compared in terms of their speed-complexity tradeoffs.
Fred J Taylor
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Sign detection in residue arithmetic units
Journal of Systems Architecture, 1998Abstract The parallelism of computation, that characterizes some operations in residue number systems (RNS), is heavily reduced in operations as division, magnitude and sign detection, since numbers must be converted to the weighted system thus reducing efficiency, in spite of the efforts to speed up the conversion.
ALIA, GIUSEPPE, MARTINELLI E.
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