This research introduces a pioneering method utilizing a single Semiconductor Optical Amplifiers (SOAs)-based Mach-Zehnder Interferometer (MZI) to emulate the XNOR logic gate at 80 Gb/s. Compared to conventional methods, the proposed topology offers improved flexibility and efficiency while utilizing fewer hardware resources. By employing a single SOAs-MZI, the implementation of XNOR operation within optical circuits is simplified and optimized. Evaluation of the setup's performance, based on the quality factor (QF), yields an impressive QF value of 11.86, indicating robust signal integrity and noise tolerance. This underscores the approach's feasibility and potential for high-speed optical computing applications. In addition, an investigation is undertaken to assess the effects of essential operational variables, such as injection current and data rate, on the performance of the gate. The streamlined implementation and exceptional performance metrics suggest the potential of this approach to transform optical computing technologies. Ongoing research and development in this area hold promise for even more efficient and reliable optical computing systems, with wide-ranging applications across disciplines.