A conversion control unit sets a converting function of a write data conversion unit or a read data conversion unit enabled or disabled for each controller. Accordingly, for a controller which needs original external data, the external data can be inputted and outputted, whereas for a controller which needs converted internal data, the internal data can be inputted and outputted. A data converting function of a conventional controller can be realized in a semiconductor memory, which can reduce the load on the controller. As a result, the performance of a system can be improved. A disabled controller which has no access right cannot read correct data (original data before conversion). Hence, the security of data written into the semiconductor memory can be protected.