The basic principles of CRC are briefly introduced in this paper. Taking the study of CRC-CCITT cyclic redundancy check code in international standard, starting from the circuit architecture of CRC serial implementation,the matrix recurrence formula for CRC parallel implementation based on logic analysis is presented by detailed theoretical derivation. The two structures of CRC-CCITT circuits are designed, and the function simulation and timing simulation are carried out using ModelSim6.2 ;32 bit data was calculated by 16bit parallel CRC ci...