The explanation from the land of Frobozz certainly clears
up what you were getting at. I would posit, though, that
most countries, unlike Frobozz, have designed their currency
structure along some sort of logic which would limit this
possiblity.
Humans regularily give change from
a machine displaying only a single total, without benefit
of a breakdown, moving from one bin to the next, trying to
make a good total. There is little "wiggle room" in a fully
stocked register. It is only when they start to run out of
things that it gets interesting.
I, for one, would not want to design a Frobozzian register
which had to explain how to give change.
The absence of a "penny" placeholder would cause a little
havoc with change dispensing from a mechanical perspective,
as you pointed out with your $0.30 example, which would
be rendered impractical.
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