Digital regulators using a plurality of latching solenoid actuators, each having a spring return, the springs being configured to provide a force on the valve member of a regulator, when the solenoid actuators are unlatched, in a binary progression. The solenoid actuators are selectively latched by an latching current pulse and retained in the latched condition by residual magnetism in a zero air gap magnetic circuit. Various embodiments are disclosed, including embodiments having the solenoid actuators side by side and in a stacked relationship, solenoid actuators having springs providing a spring force in a binary progression, solenoid actuators having equal springs and distributed in a binary progression from a hinge axis, and solenoid actuators not distributed in a binary progression from a hinge axis and not distributed in a binary progression from the hinge axis. Embodiments are also disclosed having the capability of interpolating between binary settings of the digital regulator.