A high capacity associative read/write memory is provided which includes storage means which can be read from or written into and having memory units of equal capacity each containing an equal and predetermined number of levels. Addressing means are connected to the storage means to select storage levels in each memory unit and to select the required memory location on the selected level. Associative means connected to the storage means consists of a plurality of comparators equal in number to the number of levels in each memory unit multiplied by the number of memory units. The comparators perform a comparison between the content of a data descriptor at the input to the associative memory and the content of the information read from the memory on the selected level.