Understanding how the binary and hexadecimal number systems work is not critical to programming better applications in C++, but it helps you to better understand what happens under the hood.
Numbers that we use on a daily basis are in the range of 0–9. This set of numbers is called the Decimal Numeral System. As the system is comprised of 10 unique digits, it’s a system with base of 10.
Hence, as the base is 10, the zero-based position of each digit denotes the power of 10 that the digit is multiplied with. So
957 = 9 x 102 + 5 x 101 + 7 x 100 = 9 x 100 + 5 x 10 + 7
In the number 957, the zero-based position of 7 is 0, that of 5 is ...