Advancements in the field of science and technology encompass the gradual improvement of worldwide intelligence. These advancements encompass the downsizing of current hardware components to the nanoscale. The utilization of nanotechnology is focused on replacing conventional CMOS-based technologies, facilitating the development of even smaller devices compared to those manufactured using CMOS. There is currently extensive research ongoing in this domain to reduce the size of CMOS chips and address power consumption issues. Hence, the approach encompasses the utilization of Quantum-dot Cellular Automata (QCA) to attain objectives related to component miniaturization and reduction of power consumption. This study explores the fundamental principles of QCA, including its individual cells, majority gates, clocking mechanisms, and the previous works of diverse designs for circuits using QCA technology. Further multiplexer circuits hold significant utility, being employed in communication systems, data transmission from satellites to ground stations via GPS, and computer memory.