You want the tv to output to your computer over HDMI. That isn't possible. It may however be possible to buy a tuner card that would take the signal directly and put through a usb port on your laptop. You would have to disconnect the input to the TV to do that.
No, I wanted my LAPTOP to play on a non-digital TV. Can the HDMI output from the laptop go to a "conversion" box of some type and then out via RCA cables to my older TVs?