A general division algorithm for residue number systems

A general algorithm for signed number division in residue number systems (RNSs) is presented. A parity checking technique is used to accomplish the sign and overflow detection in this algorithm. Compared with conventional methods of sign and overflow detection, the parity checking method is more efficient and practical. Sign magnitude arithmetic division is implemented using binary search. There is no restriction on the dividend and the divisor (except zero divisor), and no quotient estimation is necessary before the division is started. In hardware implementations, the storage of one table is required for parity checking, and all the other arithmetic operations are completed by calculations. Only simple operations are needed to accomplish this RNS division.<>