A DC offset correction loop (200) utilizes a sign bit generator (204), binary search stage (206), and a digital-to-analog converter (208) in its feedback path to correct for DC offsets at the input of a gain stage (202). When a correction value is obtained, it is applied and held (524) to compensate for the DC offset. When a programming event occurs (534), such as detecting an increase in DC offset beyond a threshold, detecting a significant temperature change, or passage of time, a new DC offset correction cycle is initiated.