A saturating count counts received event signals up to a first predetermined number. An overflow counter counts overflows up to a second predetermined number. The counter indicates overflow when the overflow count is non-zero and saturates and stops counting at a maximum count when the overflow count reaches the second predetermined number. The counter can be read via a register read operation. The sum of the sum of the first predetermined number of bits and the second predetermined number of bits being an integral multiple of 8 bits.