RNS to Decimal Converter and Sign Detector Using Scaling for an RNS 3- Moduli Set {2n-1, 2n, 2n+1}

This paper covers the backward conversion process from residue or remainder number to decimal number with its sign detection whether positive or negative by using residue modulo set{2n-1,2n,2n+1} The paper proposes Residue or remainder number to decimal number converter and sign detector for 3-moduli set based on adder circuit and scaling technique by avoiding calculation of multiplicative inverse. This moduli set is mostly utilized in modulo residue or remainder number system oriented arithmetic calculations. Backward process of Residue or remainder number to decimal conversion and sign detection are very significant in comparison of magnitude and other applications. Though the concept of Chinese reminder theorem is mainly used for the reverse conversion and sign detection process, scaling technique is used to reduce dynamic size and avoid complex arithmetic manipulation. This paper attracts to low area and high speed scaling based effectuation and it is compared to conventional technique.