Quantum dot cellular automaton (QCA) is an emerging technology in the field of nanotechnology. Reversible logic is emerging as a promising computing paradigm with applications in low-power quantum computing and QCA in the field of very large scale integration (VLSI) design. In this paper, we worked on conservative logic gate (CLG) and reversible logic gate (RLG). We examined that RLG and CLG are two classes of logic family intersecting each other. The intersection of RLG and CLG is parity preserving reversible (PPR) or conservative reversible logic gate (CRLG). We proposed in this paper, three algorithms to find different k × k RLG as well as CLG. Here, we demonstrate only the most promising two proposed gates of different categories. We compared the results with that of the previous Fredkin gate. The result shows that logic synthesis using above two gates will be a promising step towards the low-power QCA design era. We have shown a parity preserving approach to design all possible CLG. We also discuss a coupled Majority–minority-Voter (MmV) in a single nanostructure, dual outputs are driven simultaneously. This MmV gate is used for implementing n variables symmetric functions, testing the conservative gates as we explained that parity must be preserved if Majority and Minority output are same as input as well as output of CLG.
Design of a Low Power Vedic Multiplier using BKG Reversible Logic Gate