[Xbox One] Console turning on, but not outputting video to TV.

This started just in the past few days. I recently got my parent's old TV (it's a Sony Bravia), but this started the day before the TV was changed. The TV just does not recognize any kind of input from the Xbox One. The console is on, however, as I can control it by turning it off with a controller. It is the original Xbox One (not the one that came out with the slightly faster CPU).

What I've tried thus far:

• Restarting console (simple on and off)
• Hard power off (holding power button for a few seconds)
• Unplugging power from wall and console (together and separately)
• Unplugging HDMI cable
• Changing HDMI input ports
• Changing HDMI cable altogether
• Power cycled TV

Any ideas? I got the console from the Mountain Dew and Doritos ad campaign back in late 2013.