An apparatus for digital-to-analogue conversion. A dither generator creates a noise signal which is added to a digital input signal to produce an added output. Noise shaping is performed on the added output at a noise shaping circuit. The noise shaping circuit includes a quantizer with certain threshold levels for quantizing the added signal. A digital-to-analogue (D/A) converter converts the output of the noise shaping circuit to an analog signal. A control circuit widens the threshold levels as a level of the digital input signal becomes zero, and attenuates an input signal to the digital-to-analogue converter by about 1/K times when the threshold levels are increased by K times.