The present disclosure relates to a shiftable memory comprising: a plurality of memory cells arranged in rows and columns, wherein the memory cells of the rows are interconnected, thereby forming chains of memory cells; at least one first serial output data port; output data logic for connecting an output of any of the chains of memory cells to the first serial output data port, or at least one first parallel output data port and at least one read shift register configured for serially collecting serial output data from the output of any of the chains of memory cells; and/or at least one first serial input data port; input data logic for connecting the first serial input data port to an input of any of the chains of memory cells, or at least one parallel input data port and at least one write shift register for serially shifting input data to the input of any of the chains of memory cells; and a controller configured to control the shifting of the data in the chains of memory cells, the controller further configured to control the output data logic and/or the input data logic. The disclosure further relates to a method for operating the shiftable memory.