Selecting circuits for columns of an array of memory cells are used to hold read data or write data of the memory cells. In a first set of embodiments, a shift register chain, having a stage for columns of the array, has the columns arranged in a loop. For example, every other column or column group could be assessed as the pointer moves in first direction across the array, with the other half of the columns being accessed as the pointer moves back in the other direction. Another set of embodiments divides the columns into two groups and uses a pair of interleaved pointers, one for each set of columns, clocked at half speed. To control the access of the two sets, each of which is connected to a corresponding intermediate data bus. The intermediate data buses are then attached to a combined data bus, clocked at full speed.