Number system

Our typical number system is base-10 (or decimal), but we often have others.

• Binary number (base-2)
• Octal number (base-8)
• Hexadecimal number (base-16)

To convert to base-10 from other base systems (also referred to as radices) with base $r$, where we work backwards from the least significant digit (from the right), we have the formula:

$$V(K)=\sum _{i=0}^{n-1}{k}_i\times r^i$$

To convert from base-10 to any number system, we can successively divide our decimal number by $n$, keep the remainder, and continue. The first number we get is the least significant digit, and the last number we get is the first digit.

Related topics

• Signed number