Ed Richards, Ofcom's chief executive, said: "Our report highlights a closing of the geographical digital divide in the UK. Rural households are today as well connected to broadband as their urban neighbours."
The report also reveals big differences in take-up of modern communications across the UK.
Ofcom's report also shows just how rapidly new mobile technology is changing Britain. About 20% of UK households now rely solely on a mobile phone, and in Greater Manchester 28% of homes use a mobile but have no fixed line telephone.
And 3G phones are also taking off rapidly. Dundee is the city with the highest levels of 3G phone use, with nearly three in 10 people using one. Ofcom also provides evidence that the mobile internet is now beginning to take off.
One in five UK adults has surfed the web on the move, but use is highest in London and Birmingham. In Devon and Cornwall, where 3g phone coverage is pretty sparse, just 7% of people have used the mobile internet.
Large numbers are also watching TV or video online, with a national rate of 30%, but again there are big regional variations. In London, 40% have tried services like the BBC iPlayer, while the figure in Greater Manchester is just 16%.
One more fact from the thousands sprinkled across this comprehensive survey of media habits across the UK - there are now 14,000 Wikipedia articles in Welsh, more than twice as many as the number in Gaelic. Which is not a bad effort, considering that Wales has a lower rate of broadband take-up than the rest of the UK.
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