Well, when I got the Xbox, it worked. But a few months after, it wouldn't receive any signal on my TV. After some googling, it turned out that the Xbox had a firmware update which now made them incompatible. Incompatible, yes. HDMI. And incompatible.
So I updated the firmware on the TV for the first time and it worked again. A few months later, the same happened again and I was forced to update another time.
So, just as a cautionary message: if your TV has appliances which need to be updated connected to it they might become unusable/essentially bricked if you decide to do that.