Istituto di Scienza e Tecnologie dell'Informazione     
Barsi F., Pinotti M. C. Optimal time mixed radix conversion for residue number applications. Internal note IEI-B4-09, 1992.
A novel method is proposed for converting integers from a residue notation to a mixed radix (MR) weighted system. The method reconsiders the table look up approach introduced by Huang and is based upon a modified formulation of Chinese Remainder Theorem (CRT) allowing fast conventionallogic implementations. It is shown that the time required to perform MR conversion becomes O (log s), where s represents the total number of input bits, and coincides with the trivial lower bound Ω (log s).
Subject Chinese remainder Theorem
Computer Arithmetic
Mixed Radix Conversion
Modular Arithmetic
Parallel Algorithms
Residue Number system
VLSI Architecture

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