The adder is a highly fundamental part of the central processing unit. The carry lookahead adder (CLA) has become the fastest adder used in digital circuits. For high-speed operations, optical computing has become an essential research field. In this manuscript, a microring resonator (MRR)-based all-optical (AO) CLA is proposed and analyzed. The MRR-based AO design is capable of getting a higher operational speed to fulfill the demands of end users. The Z domain’s mathematical model of the CLA is developed using the unit delay signal processing method. The numerical simulations validate the proposed circuit’s operational speed of close to 260 Gbps. The parameters for this design are chosen optimally to enable it to be effectively implemented for optical computations.