Abstract: A randomized-clock circuit produces a random pulse train of predetermined sequence length and truncated exponential distribution of the gaps between pulses by multiplying a periodic clock signal with the output signal of a maximal length pseudorandom sequence generator which is clocked by the periodic clock signal. Control circuits monitor the maximal length pseudorandom pulse generator to start or stop random pulse sequences; random sequences are repeatable and a circuit to preset their starting point is provided. Cascading or connecting randomized-clock circuits in XOR, OR or AND gates is used to change the parameters of the exponential distribution function of the gaps. Pulse width and amplitude adjusting circuits allow interfacing of the randomized-clock circuit (a) with trigger inputs of medical and scientific pulse generators and (b) with electrodes connected to primates when the randomized-clock circuit is used as a nerve and/or muscle stimulator.