The present disclosure relates generally to digital microphone and other sensor assemblies including a transducer and a delta-sigma analog-to-digital converter (ADC) with digital-to-analog converter (DAC) element mismatch shaping and more particularly to sensor assemblies and electrical circuits therefor including a dynamic element matching (DELM) entity configured to select DAC elements based on data weighted averaging (DWA) and a randomized non-negative shift.