A background calibrating, skip and fill, analog/digital converter (ADC) generates an output data sequence having successive data elements representing magnitudes of successive samples of an analog input signal (X) acquired during successive cycles of a clock signal. The ADC normally samples the analog input signal during most clock cycles, but occasionally executes a calibration cycle in which it samples a reference signal of known magnitude, determines the error in its output data, and calibrates itself to eliminate the error. The ADC calculates a magnitude of data elements of the output sequence corresponding to samples of the input signal that were skipped during a calibration cycle by interpolating preceding and succeeding sample values. The ADC initiates a calibration cycle when a variation in magnitudes of at least two most recent samples of the input signal has remained within a first predetermined limit, provided that a predetermined minimum number of clock signal cycles have occurred since the calibration timing circuit last initiated a calibration cycle. The ADC may also refrain from initiating a calibration cycle unless a magnitude of a most recent sample of input signal is within a second predetermined limit.