This problem can be solved by pre-school children in five to ten minutes, by programmers in an hour and by people with higher education... well, check it yourself!
8809 = 6 7111 = 0 2172 = 0 6666 = 4
1111 = 0 3213 = 0 7662 = 2 9313 = 1
0000 = 4 2222 = 0 3333 = 0 5555 = 0
8193 = 3 8096 = 5 1012 = 1 7777 = 0
9999 = 4 7756 = 1 6855 = 3 9881 = 5
5531 = 0 2851 = ???
The give-away clue was that pre-schoolers could solve it easily. No adding, subtracting or the like were necessary. The pre-schoolers just look at the numbers like they are pictures - then they count the circles. 1 has none; 2 has none; 3 has none; 4 has none; 5 has none; 6 has 1; 7 has none; 8 has 2; 9 has 1 and of course, 0 is 1: ergo, 2851 = 2. The programmers were mentioned because they write computer code with the digits 1 and 0. QED (Now, someone tell me what that means.)
The winner was yesterday's birthday girl who had it at 7:50 am. I'm not sure if she guessed, had seen the puzzle previously or really figured it out. No matter, congrats!
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