Design Approaches for Resource and Performance Optimization of Reversible BCD Addition and Unified BCD Addition/Subtraction Circuits

Abstract

The world of computing is in transition. As chips become smaller and faster, they dissipate more heat, in turn more energy is consumed. Reversible logic is gaining significance in the context of emerging technologies such as quantum computing. Reversible circuits have one-to-one mapping between the inputs and outputs. Hence, there is no loss of energy. Reversible circuits are of high interest in low-power CMOS design, optical computing, nano technology, and quantum computing. In this work, we present designs of reversible Binary Coded Decimal (BCD) adder and unified reversible BCD addition/subtraction circuit. We propose three design approaches for BCD addition. The proposed designs 1 and 2 are aimed at optimizing Garbage Outputs. The proposed design 3 outperforms in all the performance parameters along with producing zero Garbage Outputs compared to proposed designs 1 and 2. We present [Formula: see text] digit reversible BCD addition/subtraction circuit using proposed design 3 for BCD addition to get the benefit of performance parameter optimization. This design outperforms existing counterparts.