Hexadecimal to Duodecimal Converter
Type a hexadecimal number to see it in duodecimal. Below: how the conversion works, a worked example and a conversion table.
FF hexadecimal = 193 duodecimal
How to convert hexadecimal to duodecimal
Go through decimal: first multiply each digit by 16 raised to the power of its position (counting from 0 on the right) and add the results; then divide the number by 12 again and again and write down the remainders; read in reverse order, the remainders are the duodecimal digits.
Example: FF to duodecimal
Step 1: Hexadecimal to decimal
Multiply each digit by 16 to the power of its position (0 on the right), then add:
| Digit | Place value | Digit × place |
|---|---|---|
F = 15 | 161 = 16 | 240 |
F = 15 | 160 = 1 | 15 |
240 + 15 = 255
Step 2: Decimal to duodecimal
Divide by 12 repeatedly and keep the remainders. Reading the remainders from the last one to the first gives the duodecimal digits:
| Division | Quotient | Remainder (digit) |
|---|---|---|
| 255 ÷ 12 | 21 | 3 |
| 21 ÷ 12 | 1 | 9 |
| 1 ÷ 12 | 0 | 1 |
Result: 255 = 193 in duodecimal.
Hexadecimal to Duodecimal table
Hexadecimal to other systems
Other systems to duodecimal
Reverse conversion
Frequently asked questions
How do you convert hexadecimal to duodecimal?
Go through decimal: first multiply each digit by 16 raised to the power of its position (counting from 0 on the right) and add the results; then divide the number by 12 again and again and write down the remainders; read in reverse order, the remainders are the duodecimal digits.
What is FF in duodecimal?
FF in hexadecimal is 193 in duodecimal.