Talk:Commemorative banknotes of the Canadian dollar

A fact from Commemorative banknotes of the Canadian dollar appeared on Wikipedia's Main Page in the Did you know column on 25 February 2017 (check views). The text of the entry was as follows:

Did you know... that the royal purple 1935 commemorative banknote (pictured) for the silver jubilee of George V is the only $25 banknote ever issued by the Bank of Canada?

A record of the entry may be seen at Wikipedia:Recent additions/2017/February. The nomination discussion and review may be seen at Template:Did you know nominations/Commemorative banknotes of the Canadian dollar.

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Maybe we should mention radix economy.

For better or worse, Canada used Decimal (Base10). For making purchases easier, we use pseudo binary (Base2) for making additional denominations:

Splitting:

100.00
050.00
025.00
010.00
005.00
002.00
001.00
000.50
000.25
000.10
000.05
000.02
000.01

Lumping:

000.01
000.02
000.05
000.10
000.20
000.50
001.00
002.00
005.00
010.00
020.00
050.00
100.00

Personally, I prefer splitting with the 025.00 and the 000.25 myself, but that is only my personal preference. The 025.00 banknote is an example of splitting.

Pseudo binary works well, but is not best. What we want to do is minimize the product of the number of demonizations times the number of tokens exchanged during each transaction. This is called radix economy. The number with the lowest radix economy is e. Since e is a transcendental number we use 3 instead, thus ending up with pseudoternary:

100.00
030.00
010.00
003.00
001.00
000.30
000.10
000.03
000.01

Lumping and splitting generate the same Decimal (Base10) denominations. Maybe, we should comment in the article that 025.00 is a good denomination, bet it would be more efficient to change the way one generates denominations to pseudoternary. — Preceding unsigned comment added by 76.102.233.65 (talk) 12:56, 25 February 2017 (UTC)[reply]