Scaled and unscaled residue number system to binary conversion techniques using the core function

The paper presents related techniques for converting a residue number system (RNS) number to binary, with and without scaling, that use the core function. The techniques remove the difficulties associated with conversion procedures based on the Chinese remainder theorem and the mixed-radix conversion technique. Two new methods for extracting the core of an RNS number are also presented that employ a parity bit to eliminate ambiguity.