I handed in my notice this week and my boss has told me that he has not said anything to the team because he "knows that it is my personal business and is something that I need to do in my own time".
However, I don't think that it should have to be me to tell them - I would imagine that it is down to my boss to announce it rather than me.
Further to that, I actually don't want to tell anybody - I would rather just slip away quietly on my last day and leave it at that because I am not one for huge amounts of attention, plus I get the impression that people will view me in a more negative light for leaving.
Some might think that this is a duplicate of this postthis post, but it is not as my scenario is the opposite - my boss wants me to tell my team whereas I don't want to.