Back to exponential positional counting. First, as soon as we accumulated 10 counting tokens, we must exchange them for a more powerful token. Usually, but not necessary, the base quantity 10 is equal to ten. We exchange ten ones for one ten, ten tens for one hundred, etc. Multiplication by the same base number makes our counting exponential.

Strictly following exponentiality, we always know how many tokens went into a more powerful one: Once we established the exchange rate, we keep it the same, and once we have enough tokens, we always exchange.

To tell the power of tokens, we can make them different - e.g. having different colors - but to simplify the logistics, we use the positional representation putting more powerful tokens to the left.

Hence, we build short lines of tokens. The quantity of the tokens in every line grows up until it reaches the exchange rate. At this moment, we exchange.