It is the demand and necessity of time to achieve a reliable and low power consumption circuit designs for a very fast growing field of low power circuit designing at nano technology. The Quantum-dot Cellular Automata (QCA) can be an alternative of CMOS approach for this low power nano-scale regime due to its small size, extremely high speed of operation, reliable circuit designing and robustness in the structure. In this presentation, a novel 5-input majority gate has been presented using Rotated Majority Gate structure only. Rotated Majority Gate (RMG) is a fundamental logic gate in QCA approach similar to Original Majority Gate. Mathematical proof for RMG Gate is obtained and structural analysis for 5-input MG has been carried out systematically. Based on the proposed 5-input MG, a novel design of 1-bit Full Adder has been implemented which requires very less number of cell counts, area and clock cycles in its design. QCADesigner 2.0.3, a simulation tool, has been used for checking the working condition of the proposed approaches.