A method includes transmitting an ECC encoded first data and an ECC encoded second data from a memory to a logic circuit, and generating an ECC encoded output data by executing an ECC-Space operation using the ECC encoded first data as a first operand and the ECC encoded second data as a second operand. The ECC encoded first data and the ECC encoded second data are the corresponding results of encoding a first data and a second data with an ECC algorithm. The ECC-Space operation is translated from a two operands operation that is operative to transform the first data and the second data into a third data. The ECC encoded output data is identical to a result of encoding the third data with the ECC algorithm if the third data is encoded with the ECC algorithm.