An arithmetic residue to binary conversion technique

✍ Scribed by Ahmad A. Hiasat

• Book ID: 104305067
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 230 KB
• Volume: 36
• Category: Article
• ISSN: 0167-9260
• DOI: 10.1016/s0167-9260(03)00018-x

✦ Synopsis

Residue representation is a non-weighted number system that is very efficient in digital signal processing and communication applications. In this paper, we present a new 5-moduli set, that expands the dynamic range in comparison with the popular 3-moduli sets. The moduli set is defined as

where n is a positive integer. This paper expresses the multiplicative inverse of each modulus in a compact form that eases the conversion. A total of six carry-save with end-aroundcarry adders and a modular adder are the only components needed to build the proposed converter. Based on 0:5 mm CMOS technology, the area and delay requirements of VLSI layouts of the new converter are much less than other similar converters.