I need to connect an AppleTV to a TV via a VGA port

My TV has a VGA port and I was planning on purchasing an HDMI to VGA converter in order to use the AppleTV on this TV. I realise that I need a signal converter, rather than a simple cable with the right ends. My question is: will this set-up carry the audio signal as well, i.e. will I be able to hear the sound through the TV speakers when playing content coming from the AppleTV? Will it make a difference if the content is streamed from say iTunes directly from the AppleTV or comes from an iPad via AirPlay? I've googled this question in many different forms and cannot get a satisfying answer. I'd really like to avoid buying a new TV! Thank you.