Design of an Efficient Adder based on Residue Number System

Kaki Raajitha, Kollati Meenakshi, Y. Mareswara Rao · 2021 Fifth International Conference on I-SMAC (IoT in Social, Mobile, Analytics and Cloud) (I-SMAC) · 2021

In this paper, a new modified approach is implemented with gates which consists of OR, AND gates and RNS based ALU (Arithmetic and Logical Unit) is implemented. The technology used is Xilinx ISE 14.7 Verilog coding for these adders. The conventional structure consists of mux's where converting from one form to another form is required. The two techniques named, thermometer and one-hot coding are very useful. The disadvantages with the conventional approach are area, power and delay. In VLSI, the major factors are speed, are and delay. This paper attempts to reduce the power and maintain efficiency. The proposed research work is further extended to increase the bit size and design modular adder with various moduli i.e., extended the feature of coding which works for mod 5, 7, 11, and 13. In this, paper to understand the methodology modulo-7, modulo-8 based modular adders are designed with logic gates and a modified architecture is presented and a basic comparison is shown between binary and residue number system. The parameters of both the techniques are compared and the proposed methods shows best results compare to traditional methods.

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