Contrary to what continuum says (he's usually spot on, though), it's quite normal for a HDMI to VGA adapter to be fairly warm. Ballpark figure for a HDMI to VGA decoder is around 200 mA at 5 volts.

His method utilized a modified HDMI-to-VGA adapter. From the looks of it, apps like music for Google Play, Pandora, and Music All Access seem to able to be streamed through this device.

If you're looking to connect a computer to a TV or monitor, your choices are HDMI, DisplayPort, DVI, and VGA. ... For example, DVI and HDMI are generally convertible using a simple adapter.