So I had a look at the google reseach blog cited [1] and it turns out that Deep Learning is not used to do translation in the Google Translate app. It's only used to do Optical Character Recognition- OCR. Note, that's not handwritten digit recognition, I haven't seen any claims that the Google Translate app can do that, so it most probably can't, and can only recognise print characters.
OCR Is not something you absolutely need a deep network to do, in fact it's one of those cases were you really don't want to deploy such an expensive system because there are far cheaper alternatives, like the logistic regression mentioned in the article.
The google research blog typically doesn't say anything about how the actual translation is done, but it seems to me, from playing around with the app a bit, that it does word-for-word translation, possibly with some probabilistic heuristic to figure out the most common/likely such translation. That's very reasonable, given the app has to run on possibly weak hardware but it's also not as marketable as "Machine Translation with Deep Learning on Google Translate App".
So this is not a very good example of the superiority of Deep Learning. It's more a good example of the superiority of the Google hype machine.
[1] http://googleresearch.blogspot.co.uk/2015/07/how-google-tran...