A sequential access memory comprises N register elements each storing an information bit. These N register elements are divided into P groups each comprising L elements. In a first phase of operation whose duration corresponds to P-1 consecutive periods of the clock signal, only the last elements of each group are activated and are furthermore series-connected. In a second phase of operation whose duration corresponds to a single period of the clock signal, all the elements are activated simultaneously, the groups of elements being furthermore series-connected. The advantage is that it enables a reduction in the dynamic consumption of the memory.