An apparatus includes an encoder to encode service data corresponding to each of a plurality of Physical Layer Pipes, an encoder to encode signaling data by performing LDPC (Low Density Parity Check) encoding the signaling data by adding parity bits, block interleaving the LDPC encoded signaling data, and demultiplexing the block interleaved signaling data using shifting method. The shifting method is performed based on the modulation order and indices of bits. A frame builder builds at least one signal frame including the encoded service data, the encoded signaling data, a modulator modulates the at least one signal frame by an OFDM (Orthogonal Frequency Division Multiplex) scheme, and a transmitter transmits the broadcast signals carrying the at least one modulated signal frame.