Coaxial to HDMI?? Cable box problem.

I have a projector home theater setup and I'm trying to make it as simple as possible to switch between devices.


I have an Xbox 360, PS3, and cable box that I need to have hooked up to it. The simplest way to do it is to have them all hooked up to an HDMI switcher. No problem for my 360 and PS3, but my cable box does not have an hdmi output or RCA output. To get a cable box that does, it'll cost me an additional 7.99 per month on my cable bill.

So is there anyway to convert a signal from a coaxial cord from the cable box and/or the cable jack to an hdmi signal so I can plug it into my switcher? I just can't seem to find a way.


Thanks