A simple design of optically pumped flip-flop using a two GaAs–AlGaAs based optical microring resonator (OMRR) is introduced. The nonlinear property of a GaAs–AlGaAs based ring resonator is explored to use it as an optical switch. A high-intensity optical pump pulse is used for the switching operation of the OMRR. A theoretical model of the proposed flip-flop circuit is developed by applying the delay line signal process approach. Z-domain model of the circuit is explored to analyze its performance. Various performance parameters—such as contrast ratio (CR), extinction ratio (ER), on-off ratio (), and amplitude modulation (AM)—are determined from the simulation results obtained on MATLAB. The optimum values of CR, ER, , and AM are calculated for the proposed model, which confirms the feasibility of the flip-flop.