Synchronous simply means that the audio data is sent to the DAC at the same rate that it is played (e.g. at 44,100 samples per second in the case of standard Redbook CDs). The DAC has no control over the rate at which the data is sent.
Asynchronous means that the DAC periodically requests a bunch of audio samples as they are needed and the DAC controls when to do these requests.
Asynchronous means that the DAC periodically requests a bunch of audio samples as they are needed and the DAC controls when to do these requests.