Base Numbers Problems

To understand the notion of base numbers , we look at our own number system. We use the decimal, or base-10, number system. To help explain what this means, consider the number 2746. This number can be rewritten as

$2746_{10}=2\\cdot10^3+7\\cdot10^2+4\\cdot10^1+6\\cdot10^0.$

Note that each number in 2746 is actually just a placeholder which shows how many o