A new unified modular adder/subtractor for arbitrary moduli

Efficient modular adders and subtractors for arbitrary moduli are key booster of computational speed for high-cardinality Residue Number Systems as they rely on arbitrary moduli set to expand the dynamic range. This paper proposes a new unified modular adder/subtractor that possesses a regular structure for any modulus. Compared to the latest modular adder/subtractor, which works for modulus in the forms of 2ⁿ±k, the proposed design is on average 10.81% faster and consumes 15.85% less hardware area and 2.51% lower power for n ranging from 4 to 8.