LCD monitor has no HDMI input port. Is connecting the output of the setop box to the computer by HDMI possible?

To the best of my knowledge, most computers do not come with an INPUT HDMI connection, the computer HDMI ports are OUTPUT only. So, based on that, then the answer would be no. Unless you have a special adapter/interface card that provides a input/output HDMI port (not even sure something like this even exists currently), then it would work.

You could go HDMI to VGA, but you will not have any audio. Com/HDMI-VGA-HD15-Male-Cable/dp/B001OLCHJ6.

As I understand, your monitor, which is a TV, but it has no HDMI input and you need to connect with the computer using an HDMI output. If that is correct, there is still a great shortage of conversion units to go from HDMI to the old style RCA. Technically feasible, but haven't seen one.

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