An optical logic gate is the core of optical information processing in all future optical network elements, allowing for high-speed optical packet switching, all-optical address identification, data coding, parity, and signal regeneration. A micro-ring resonator was adopted to design a new electro-optical logic gate using three asymmetric micro-rings. The analysis of coupled transfer matrix equations showed that the change in the load voltage signal resulted in a change in the refractive index. Micro-rings using the logic-switching characteristic of light intensity can achieve an optical logic gate. The computer simulation verified that the working wavelength was 1 600 nm. The high-level load voltage 50.7 V was defined as logic 1, whereas the low-level load voltage was defined as logic 0. A voltage of 0 V was obtained by six light intensity change logic operations. The response time of the entire system is 1.8 ps theoretically, and the computation speed can reach approximately 200 Gbit/s. The bistable logic analysis revealed that the micro-ring is equal to the corresponding control micro-ring at maximum resonant wavelength. No deformation occurred in the resonant wavelength and the sum of the offset. Therefore, modulation can be achieved through micro-ring resonant wavelength control.