Should children take communion?

Should children take communion? A more controversial question then I had an initially anticipated. Some people are baptised as adults, others as children and then they go through a 'confirmation' or 'profession' of faith. (I'm wondering what the Scriptural basis for this "coming of age" / "making it your own" thing is.) Personally looking back I've been making my faith my own from before I can remember till now. So buried inside this question is the question of conversion, that'll colour how you answer the question of should children take communion.

[The Last Supper by Leonardo da Vinci]