A display apparatus may sequentially apply a power source to a processor of the display apparatus according to flow of data processes so as to maintain a low power state. The display apparatus may include a communication module configured to receive data from an external electronic device while the communication module is in a sleep mode; a central processing unit (CPU) sub-system including a CPU configured to receive the data from the communication module and process the received data; and a controller configured to sequentially switch the communication module and the CPU from the sleep mode to an operation mode.