[IanKerr]

Now account for the amount of mental overhead required for the average person to calculate change or coinage of a random amount in base two coins, as opposed to multiples of 5 or 10, and see if your 3.19 coins per transaction really saves you time.

[aaronax]

One could simply switch to a base 16 numbering system as well!

[Const-me]

I think the amount of mental overhead with base 2 coins is still less than with the proposed [ 1, 3, 11, 37 ] solution.