Memristor (MR) has attractive characteristics of nanoscale volume and low‐power dissipation and hence possesses superiorities in designing integrated‐circuits. In this paper, a flux‐controlled binary MR emulator is proposed and discussed by detailing its constitutive mathematical relation between memristance and magnetic flux. MR based logical gates are then constructed and applied to pulse train (PT) controlled Buck converters to improve its output voltage response performance. In order to suppress low‐frequency voltage oscillation of PT controlled Buck converters in continuous conduction mode (CCM), inductor current based PT (IC‐PT) control method using the MR‐based logic gates is newly proposed and analyzed. The sampled simulation and experimental results reveals that the IC‐PT controlled Buck converter by utilizing MR based logic gates can achieve fast transient response and minimized low‐frequency voltage oscillation in CCM mode.