Abstract: An apparatus and arrangement is disclosed for controlling the sharing of an electronic memory between a number of memory users, at least one of which requires transfers of blocks of data on a high priority basis. Access to the memory is controlled by means of a modified time division multiplexing scheme whereby a set of time slots is assigned for performing memory accesses requested by high priority memory users, but, during times in which no high priority users are using the memory, these time slots may be used by other memory users in the order of pre-assigned priorities. Independent output data paths are provided for the respective high and low priority data transfers.