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You may have a faulty HDMI card in the TV, however you should also be able to get audio over optical...
Have you tried adjusting the "Audio Out" and the "Dolby Digital" settings in settings > audio and video? It may be worth trying several combinations of these settings, although typically it is the "Dolby Digital" setting that causes most problems for users.
If you are using a sound system/receiver, make sure that you have correctly mapped the input port on your sound system to the output, if you are unsure about how to do this, refer to the manual that came with your sound system.
Have you tried playing various content sources (i.e. podcasts, music, iTunes Store video, other video etc), do you have the same problem with all types of content? If you use optical you might also check that you can see a red light at the end of your optical audio cable. Is your optical audio cable plugged straight into your sound system, or does it go through a switch or other device?