A HDMI cable can carry both regular S/PDIF output and also high definition audio. When you are playing from a CD or a regular DVD, you are only going to use the S/PDIF audio bandwidth. So if you are using a CD as a source, there is no real point in using HDMI. This should explain why almost no standalone CD players are available in the market with HDMI output. You are better off using a coax or a optical cable to connect to your AVR, DAC or Amp. If you want HDMI output from Audio CDs, then a HDMI DVD player or a BluRay player will do the job.
Now if your source is a computer with HDMI output, but which does not have a regular coax/optical digital output, then you can get a convertor that allows you to extract the S/PDIF audio signals from the HDMI and pass it on as a regular digital audio to a AVR/DAC/Amp. A lot of TVs with HDMI have this feature.
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