High-speed Binary Signed-Digit RNS adder with posibit and negabit encoding

Binary Signed-Digit Residue Number System (BSD-RNS) has been proposed in the literatures as an appropriate number system to perform the arithmetic operations in parallel. BSD-RNS addition is the basic operation and improving its performance results in efficient VLSI arithmetic circuits. Here, we present a new architecture for carry-free BSD-RNS addition utilizing a recently proposed posibit and negabit BSD representation. Compared to 2´s complement BSD-RNS adder, the proposed architecture has 21% less delay. Besides, for a same delay (0.6ns), we obtain 48% less area and 28% less power than the most efficient existing BSD-RNS adder.