Efficient residue-to-binary conversion technique with rounding error compensation

An improved scaled-decoding technique (defined as residue-to-binary conversion of which outputs are scaled by a constant) for hardware implementations in the residue number system (RNS) is presented. The technique is based on the Chinese remainder theorem and is equipped with a rounding error compensation circuit that can reduce the maximum scaling error below 0.5 least-significant-bit (LSB) for general four-moduli RNS, and down to about 0.53 LSB for general six-moduli RNS with a moderate amount of additional hardware