Novel Modular Adder Using Thermometer Coding and One-Hot Coding for Residue Number Systems Applications

The goal of effective modular adder designs with thermometer coding and one-hot coding using tristate buffers is to improve modular arithmetic performance while reducing power consumption and utilizing the performance of digital circuits. Residue Number Systems (RNS) were an effective alternative solution to Positional Number Systems based on their performance. Low-power Thermometers and one-hot coding are used in embedded and Internet-of-things edge devices. Tristate buffers govern data flow in digital circuits, particularly those with high impedance states. The most significant and common operation performed on RNS components, such as forward and reverse converters and channel arithmetic units, is modular addition. The carry during addition is ignored when these components are coupled with a residue numbering system. This method might be useful in applications where performance is improved and speed and power consumption are important aspects. The proposed modular adders, which use thermometer coding and one-hot coding, enhance latency by 33% and 30%, circuit area by 22% and 12%, and energy consumption by 23.5% and 5%, respectively.