Reversible logic synthesis is a crucial step in the implementation of reversible circuits, which are essential for quantum computing and other emerging technologies. The goal of reversible logic synthesis is to minimize the number of reversible gates required to implement a given function, while also ensuring that the resulting circuit has a low power consumption and a high speed. This is achieved by using biconditional binary representations, which allow for the efficient implementation of reversible logic functions. The proposed method has been evaluated on several benchmark circuits, demonstrating its effectiveness in reducing the number of reversible gates and improving the overall performance of the circuit.