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.
One could simply switch to a base 16 numbering system as well!
I think the amount of mental overhead with base 2 coins is still less than with the proposed [ 1, 3, 11, 37 ] solution.
Re:Do We Need a 37-Cent Coin? (2009)
by chipsrafferty on Sunday October 06, 2024 @07:45PM
(#41761364)
Great idea! Let's also make them double in diameter and density each denomination increase.
It requires 7 coins in [ 1 .. 64 ] range to reach 100, but the average of popcnt( 1 .. 99 ) is only 3.19 coins per transaction, way better than 4.1 coins.