In an embodiment, an analog voltage recovery circuit comprising a plurality of capacitors having first terminals connected to a node having the analog voltage, and comprising a state machine, where during an operating mode the second terminals of the plurality of capacitors are coupled to a first rail, and where during a digitization mode the state machine couples the second terminals of a set of the plurality of capacitors to a second rail so that the analog voltage is closer to the second rail voltage than during the beginning of the digitization mode. In an embodiment, the analog voltage recovery circuit brings the node voltage to the second rail voltage at the end of the digitization mode, and then floats the node and couples the second terminals of the plurality of capacitors to the first rail to approximately restore the analog voltage. Other embodiments are described and claimed.