How to convert a Base 10 number to another base

The general steps for converting a base 10 or "normal" number into another base are:

  • First, divide the number by the base to get the remainder. This remainder is the first, ie least significant, digit of the new number in the other base
  • Then repeat the process by dividing the quotient of step 1, by the new base. This time, the remainder is the second digit, ie the second least significant.
  • Repeat this process until your quotient becomes less than the base. This quotient is the last digit, ie the most significant digit.

Like many other mathematical concepts, it's often easier to understand this concept by looking at some examples

Example 1

In the example below, convert 254 from base 10 to hexadecimal (base 16)

loading convert 254 to hexadecimal from base 10
Example 2

Convert 1,952 to hexadecimal

loading convert 1,952 to hexadecimal from base 10

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