How to Convert Decimal to Hexadecimal.

Successive division by 16.

Converting a decimal (base-10) number to a hexadecimal (base-16) number is typically achieved using the successive division by 16 method.

1. Divide your decimal number by 16. Note the integer quotient and the remainder.
2. Take the quotient and divide it by 16 again, noting the new quotient and remainder.
3. Repeat this process until your quotient becomes 0.
4. The remainders represent the hexadecimal digits. Map remainders from 10 to 15 to the letters A through F:
   • 10 ➔ A | 11 ➔ B | 12 ➔ C | 13 ➔ D | 14 ➔ E | 15 ➔ F
5. Write down the hex characters in reverse order (bottom to top, read from the last division to the first).

Step-by-step example.

Let's convert the decimal number 250 to hexadecimal:

Reading remainders from bottom to top gives: FA. Therefore, 250₁₀ = FA₁₆.