Units digit

i believe it is 5

2,4,8,6,2

So every 5th one ends in 2

so 2^2010 ends in 2

so 2^2012 must end in .. and you can finish it.

Turns out that the Microsoft scientific calculator is a powerful tool. You can calculate 2^2012, then use mod 10 on it to get the answer of: 

nope not going to tell you Try it!