In an operating method for a magnetic resonance tomography apparatus a sequence of digital signals is transmitted to the digital-analog converter. An analog signal is emitted from the digital-to-analog converter for each digital signal to a coil system for producing a gradient magnetic field. A signal processor produces a processed digital signal which is supplied to the digital-to-analog converter to produce the analog signal. A difference between the incoming digital signal and the processed digital signal Is determined by the signal processor and is added to the next incoming digital signal or at least for a portion thereof.