Forget base-10!

Number Theory Level 3

We all know how to count with our fingers but unfortunately we stop only at \(10\) .

but if we use the base-2 to count with our fingers we can reach a highest number.

Find the biggest number we count to using base-2.

PS: the way to count is the first finger is \(1\) the second is \(2\) so if we want to make a \(3\) w raise up the first two fingers, and so on..


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