Question 1
In the land of the beavers, the common currency is “Beavercoins”, consisting of coins with the values shown below.

| Coin value | 16 | 8 | 4 | 2 | 1 |
|---|---|---|---|---|---|
The beavers have a common rule: always pay using as few coins as possible. For example, to pay 17 coins, they take one 16-value coin and one 1-value coin rather than seventeen 1-value coins. What is the smallest number of coins needed to pay 13?

| Coin value | 16 | 8 | 4 | 2 | 1 |
|---|---|---|---|---|---|
The beavers have a common rule: always pay using as few coins as possible. For example, to pay 17 coins, they take one 16-value coin and one 1-value coin rather than seventeen 1-value coins. What is the smallest number of coins needed to pay 13?