Istituto di Scienza e Tecnologie dell'Informazione     
Alia G., Martinelli E. A VLSI algorithm for direct and reverse conversion from weighted binary number system to residue number system. Progetto finalizzato Informatica, sottoprogetto MUMICRO VLSI, 1982. Document n. IEI-F82-01, 1982.
Residue Number Systems (RNS) are proved to be useful in many applications, as for example in signal processing. In this work a VLSI computing architecture is proposed for converting an unsigned integer number N from the weighted binary representation into and out a residue code based on s moduli. For this architecture a possible layout is given and its complexity is evaluated in terms of area and time. Under several hypotheses on RNS parameters. constructive upper bounds ranging from 0 (n2logn)) to O(n loglogn) and from O(log n) to O(logn) for area and time respectively have been obtained for the direct conversion. On the contrary, constructive upper bounds A=O(n2 logn) and T=O(log 2n) have been found independent of the formed hypotheses. for the reverse conversion.

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