An electronic device may have one or more analog-to-digital converters (ADCs). The ADCs may be used in digitizing signals from an image sensor. In order to ensure that input signals received by an ADC are not clipped, the input signals may be positively or negatively offset by a desired amount. Offsetting the input signals may ensure that the offset input signals wall within the acceptable input range of the ADCs. Offset injection may be accomplished using capacitors that are also used for analog-to-digital conversion. As an example, the ADC may be a successive approximation-type ADC that uses capacitors in a binary search for the digital value most accurately representing an input analog value. The capacitors of the ADC may be used for the successive approximation process and for offset injection. The offset injection may be digitally canceled out following digitization of the input analog signal.