Ballpark figure for a HDMI to VGA decoder is around 200 mA at 5 volts. That's a watt. For such a small device, you're going to expect that to make it fairly warm.

For example, your TV likely has HDMI 1.4 connections, which max out at 3,820x2,160-pixel resolution at 30 frames per second. If you've gotten a new 4K monitor, you're limited to 30fps.

Live Tech HDMI to VGA Adapter. The Live Tech HDMI to VGA adapter offers Plug and Play operation for easy usage. It comes with a separate AUX audio cable for sound transmission.

An Apple spokesperson told The Verge that Lightning to HDMI and Lightning to VGA cables “will be available in the coming months.” by Sean Hollister Sep 13, 2012, 11:07 PM UTC ...

HDMI is really best for connecting a PC to an HDTV. Consequently, I’d go with a DVI cable. That’ll give you a pure digital signal (VGA is analog) and a much sharper picture at higher resolutions.