A method and apparatus are provided for controlling the phase shifts produced in a binary corporate tree network of the kind, e.g., that can drive a phased array for steering an optical beam. The method employs a novel phase-wrapping technique in which an entire layer of the binary tree is disabled when the phase added in that layer reaches 2π. With that technique, it is possible to economize on electrical control lines and on the use of electric power, while still maintaining the ability to produce arbitrary phases at the output of the tree network.