This paper details the novel design, simulation and analysis of the digital photonic single-bit magnitude comparator with the utilization of silicon micro-ring resonator as its core component. The micro-ring resonator uses electro-optic carrier injection modulation properties with its ring waveguide being structured in PIN diode. Five micro-ring resonators are used in the proposed design, with each corresponds to the specific logic mode operation. This work also presents the time varying simulation, where two predetermined 1-bit input stream is injected into the circuit at the data rate of 1Gbps, where its output is observed via oscilloscope, where results are obtained at the sampling rate of 1.6THz. The timing diagram for the entire simulation is also shown together with additional results obtained from the simulation.