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- W2149711254 abstract "Moduli of the form 2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> plusmn 1, which greatly simplify certain arithmetic operations in residue number systems (RNS), have been of longstanding interest. A steady stream of designs for modulo (2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> plusmn 1) adders has rendered the latency of such adders quite competitive with ordinary adders. The next logical step is to approach the problem in a unified and systematic manner that does not require each design to be taken up from scratch and to undergo the error prone and labor intensive optimization for high speed and low power dissipation. Accordingly, we devise a new redundant representation of mod (2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> plusmn 1) residues that allows ordinary fast adders and a small amount of peripheral logic to be used for mod (2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> plusmn 1) addition. Advantages of the building block approach include shorter design time, easier exploration of the design space (area, speed, power tradeoffs), and greater confidence in the correctness of the resulting circuits. Advantages of the unified design include the possibility of fault tolerant and gracefully degrading RNS circuit realizations with fairly low hardware redundancy." @default.
- W2149711254 created "2016-06-24" @default.
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- W2149711254 date "2009-06-01" @default.
- W2149711254 modified "2023-10-01" @default.
- W2149711254 title "Unified Approach to the Design of Modulo-(2^n +/- 1) Adders Based on Signed-LSB Representation of Residues" @default.
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- W2149711254 doi "https://doi.org/10.1109/arith.2009.14" @default.
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