This work presents an exact time-domain analysis of the Active-clamp flyback (ACF) converter, considering all four possible modes of operation. A numerical method-based approach is employed to solve the coupled nonlinear differential equations governing the converter’s behavior. The proposed method enables identification of the operating mode corresponding to a given input/output condition and circuit specifications. The complete mathematical model developed addresses the gap in analyzing ACF converter performance across multiple modes and is experimentally validated using a 65 W hardware prototype. The results demonstrate an exact agreement between theoretical predictions and simulations across all identified modes, with a maximum deviation of less than 0.5% and an experimental–analytical deviation of less than 4%, highlighting the accuracy of the proposed approach.