A system for transmitting a digital broadcasting signal includes a Reed-Solomon encoder that encodes a dual transport stream including a normal stream and a turbo stream to obtain an encoded dual transport stream; an interleaver that interleaves the encoded dual transport stream to obtain an interleaved dual transport stream; and a turbo processor that detects the turbo stream from the interleaved dual transport stream to obtain a detected turbo stream, encodes the detected turbo stream to obtain an encoded turbo stream, stuffs the encoded turbo stream back into the interleaved dual transport stream to obtain a reconstructed dual transport stream, and compensates the reconstructed dual transport stream for a parity error due to the encoded turbo stream to obtain a parity-compensated dual transport stream.