Towards Efficient Modular Adders based on Reversible Circuits - 2018


Reversible logic is a computing paradigm that has attracted significant attention lately due to its properties that cause ultra-low power and reliable circuits. Reversible circuits are fundamental, as an example, for quantum computing. Since addition could be a basic operation, planning efficient adders is a cornerstone in the research of reversible circuits. Residue Number Systems (RNS) has been as a powerful tool to provide parallel and fault-tolerant implementations of computations where additions and multiplications are dominant. During this paper, for the primary time in the literature, we have a tendency to propose the mix of RNS and reversible logic. The parallelism of RNS is leveraged to increase the performance of reversible computational circuits. Being the most elementary part in any RNS, during this work we tend to propose the implementation of modular adders, particularly modulo 2n-1 adders, using reversible logic. Analysis and comparison with traditional logic show that modulo adders can be designed using reversible gates with minimum overhead as compared to regular reversible adders.

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