A programmable digital clock signal frequency divider module has a module clock input, module clock output, a scaling factor input, two programming inputs, and a tertiary input. A primary divider module with a primary divider module output and a clock input are coupled to the module clock input. A secondary divider module includes a multiplexer and a divide by two latch with a latch clock input coupled to the primary divider module output. In operation, logic values applied to the scaling factor input, and the programming inputs, result in the primary divider module processing a first sequence of cycles of a primary digital clock signal into a first base clock signal and processing a subsequent second sequence of cycles into a second base clock signal. The first base clock signal and the second base clock signal provide a sequence of clock pulses to the secondary divider module. Edges of the sequence of clock pulses trigger the divide by two latch, which results in a latch output clock signal with a 50% duty cycle at the output of the divide by two latch. Logic values at the tertiary input select either the sequence of clock pulses or the latch output clock signal to be a module clock output signal at the module clock output.