A method of decoding CAVLC transform coefficients encoded from an image uses a plurality of registers for storing coefficients and flags and a plurality of MUX devices for selecting data input for corresponding registers. The method includes receiving transform coefficients including first and second encoded data corresponding to an image, generating a trailing-one coefficient with a sign indicated by the first encoded data together with a flag value corresponding to a status of the trailing-one coefficient, and generating a non-trailing zero coefficient according to the second encoded data together with a flag value corresponding to a status of the non-trailing zero coefficient.