A method and apparatus capable of minimizing power consumption occurring when a mobile device is changed from a sleep state to a wake-up state by partially controlling on/off of a display unit and partial booting control of a system function are provided. The method includes detecting a change of the mobile device from a sleep state to a wake-up state, turning on a display unit of the mobile device such that a first section of the mobile device displays an operating region, the first section including one or more portions of the display unit and less than an entire screen of the display unit and waiting for a system function registered in the operating region.