Hi, @geko1986 ,
You may be out of luck.
HDMI cannot tune into any TV channels. (FTA or cable TV). It is not a tuner.
The co-ax port is part of the digital tuner module on the mainboard. This is a sealed unit and difficult to repair.
If you wish to continue to use the TV, either replace the mainboard or get a compatible box which connects to your cable service and connect via HDMI from it. (if you mean when you say that you have "basic cable' that there is a co-ax cable FTA antenna lead into the TV then connect it to a HD set top box and tune into the channels using it and connect it to the TV via HDMI)
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