A semiconductor memory enabling a read modify write operation of data, comprising: a memory cell array including a plurality of memory cells arranged in a matrix and able to be written with and read out data; a read address decoding means for independently decoding an address of a read memory cell in response to a read address; a write address decoding means for independently decoding an address of a write memory cell in response to a write address; a data reading means for reading data of a memory cell addressed by the read address decoding means; a data writing means for writing data to a memory cell addressed by the write address decoding means; and an address delay means by which a write address decoded by the write address decoding means is delayed by a predetermined time from a read address decoded by the read address decoding means, wherein the predetermined time is set as a predetermined plurality of times of basic synchronization pulse periods so that the data read modify write operation is accomplished in a pipeline manner by the basic synchronized pulse.