Embodiments of switched-capacitor gain stage circuits and methods of their operation are provided. The circuit includes an operational amplifier, parallel sampling capacitors, an offset storage capacitor coupled to an amplifier input, and multiple switches that are configurable to place the gain stage circuit in a sampling state, a gain state, and an output state. In the sampling state, the switches are configured so that a first charge component representing an input signal is stored on the sampling capacitors, and a second charge component representing an amplifier offset voltage is stored on the offset storage capacitor. In the gain state, the switches are configured so that a third charge component representing a finite gain of the amplifier is stored on the offset storage capacitor. In the output state, the switches are configured so that the first, second, and third charge components contribute to an output signal produced at the output node.