A method and a TDM digital switch are provided for switching data at a variety of data rates. Input streams having a data rate less than the maximum data rate of the switch are grouped and multiplexed to form multiplexed streams carrying data at the maximum data rate. A switching state machine switches the data from each input stream to form grouped output streams comprising multiplexed output streams, each grouped output stream carrying data at the maximum data rate. The grouped output streams are demultiplexed, and the output streams transmitted through respective output shift registers. The method and TDM digital switch allow streams with programmable data rates to be switched while still maximizing use of resources, including memory, within the switch.