Solved! Go to Solution.
You will get a full wireless signal even although the Internet is down. The wireless signal is broadcast from your Homehub not the Internet.
Use this link to check to see if there are any reported problems in your area.
Are you sure that its not just you affected?
What colour are the lights on the BT Home Hub?
I have asked a moderator to provide assistance, they will post an invite on this thread.
They are the only BT employees on this forum, and are based in the UK.