A method for an oversampling digital-to-analog converter (DAC) includes oversampling M-bit binary data to provide N-bit oversampled binary data, wherein M and N are integers and N is greater than M, encoding the N-bit oversampled binary data to provide 2(N-1)-bit thermometer code data and a sign bit, shuffling the 2(N-1)-bit thermometer code data to provide 2(N-1)-bit shuffled data, converting the 2(N-1)-bit shuffled data and the sign bit to an analog output signal, and smoothing the analog signal to provide a smoothed analog output signal.