Abstract: A step controller for a water heater includes a plurality of individual electrical elements to maintain a predetermined minimum temperature in accordance with a sensed temperature signal and a preset desired temperature signal in combination with a dead band signal. The heating elements are turned "on" and "off" in a random sequence whenever a change is required, and in accordance with a binomial distribution so as to substantially equalize the operating period of the heating elements. The controller includes a microprocessor unit to periodically sense the signals of a sensor and a preset potentiometer, and also operates to store the on-off status of the heating elements, each of which is assigned a binary load indentifying number. The microprocessor includes a psuedo-random binary number generator for generating the load identifying numbers.