A circuit includes circuit portions operating from separate power supplies which are switched sequentially. An output of a first portion powered by a power supply (A) is provided as an input to a second portion powered by another power supply (B). Power supply (A) is switched-ON a delay interval later than power supply (B). In an embodiment, the first portion also receives a control input which enables or disables response of the first portion to changes in its inputs. An active circuit is connected between the control terminal and a constant reference potential node of the circuit, and has one transistor of a current-mirror pair connected across supplies (A) and (B). The active circuit connects the control terminal to the constant reference potential node in the delay interval, but is an open circuit otherwise. Power dissipation in the circuit is thereby reduced.