Applications of Majority Gates with Quantum-Dot Cellular Automata(QCA)

Not much research was done on the circuits based on majority gates, as the incompatibilities in hardware donâ„¢t permit the CMOS technologies to do so. But this emerging computational nanotechnology called the quantum-dot cellular automata (QCA) has been a great help in learning more about the majority Gates, as it happens to be its primary logic primitive. Characterizing the three variable Boolean function to a simplified majority illustration using the Karnaugh maps (K-maps), is one of the easiest application of majority gates.

The QCA cell has four quantum dots arranged in a square pattern. The fundamental logic primitive includes the 3-input majority gate. Majority logic helps in the implementation of digital operations based on the principles of majority decision. The logic element, a majority gate has an odd number of binary inputs and a binary output. The output is a logical 1 when the majority of input is logic 1 and logical 0 when majority of inputs is logic 0. The majority gates along with the binary inverters helps in the implementation of digital functions as per the logic design applications.

Applications of Majority Gates with Quantum-Dot Cellular Automata(QCA)

ABSTRACT
Majority gate-based logic is not normally explored with standard CMOS technologies,primarily because of the hardware inefficiencies in creating majority gates.As a result,not much effort has been made towards the optimization of circuits based on majority gates.We are exploring one particular emerging technology,quantum-dot cellular automata(QCA),in which the majority gate is the fundamental logic primitive.One of its main application is a simple and intuitive method for reduction of three-variable Boolean functions into a simplified majority representation.The method is based on Karnaugh maps(K-maps),used for the simplification of Boolean functions. Majority gate logic is expected to find use in quantum-dot cellular automata(QCA),an emerging computational nanotechnology.It is based on a QCA cell composed of four quantum dots arranged in a square pattern.With QCA,the 3-input majority gate forms the fundamental logic primitive.Majority logic is a way of implementing digital operations based on the principles of majority decision.The logic element,a majority gate has an odd number of binary inputs and a binary output.The output is a logical 1 when the majority of inputs is logic 1 and logical 0 when majority of inputs is logic 0.Any digital function can be implemented by a combination of majority gates and binary inverters.Majority logic provides a concise implementation of most digital functions encountered in logic-design applications