A memory device detects and correct bit errors. The memory device includes cyclic redundancy check (CRC) and error correction code (ECC) circuits. The CRC circuit generates a write CRC code corresponding to data to be stored in memory cells. The ECC circuit generates an ECC code corresponding to the data and detecting and correcting a bit error of the data by means of the ECC code during a read operation. The CRC circuit generates a read CRC code corresponding to data corrected by the ECC circuit during the read operation, and detects a bit error of the data according to a comparison of the read CRC code and the write CRC code.