Binary to Roman numerals Converter
Type a binary number to see it in Roman numerals. Below: how the conversion works, a worked example and a conversion table.
11111111 binary = CCLV Roman numerals
How to convert binary to Roman numerals
Go through decimal: first multiply each digit by 2 raised to the power of its position (counting from 0 on the right) and add the results; then repeatedly take away the largest Roman value that fits (1000 = M, 900 = CM, 500 = D, 400 = CD, 100 = C, 90 = XC, 50 = L, 40 = XL, 10 = X, 9 = IX, 5 = V, 4 = IV, 1 = I) and write down its symbol.
Example: 11111111 to Roman numerals
Step 1: Binary to decimal
Multiply each digit by 2 to the power of its position (0 on the right), then add:
| Digit | Place value | Digit × place |
|---|---|---|
1 | 27 = 128 | 128 |
1 | 26 = 64 | 64 |
1 | 25 = 32 | 32 |
1 | 24 = 16 | 16 |
1 | 23 = 8 | 8 |
1 | 22 = 4 | 4 |
1 | 21 = 2 | 2 |
1 | 20 = 1 | 1 |
128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255
Step 2: Decimal to Roman numerals
Take away the largest Roman value that fits, write its symbol, and repeat until nothing is left:
| Remaining | Take away | Write |
|---|---|---|
| 255 | 100 | C |
| 155 | 100 | C |
| 55 | 50 | L |
| 5 | 5 | V |
Result: 255 = CCLV in Roman numerals.
Binary to Roman numerals table
| Binary | Roman numerals |
|---|---|
1 |
I |
10 |
II |
11 |
III |
100 |
IV |
101 |
V |
110 |
VI |
111 |
VII |
1000 |
VIII |
1001 |
IX |
1010 |
X |
1011 |
XI |
1100 |
XII |
1101 |
XIII |
1110 |
XIV |
1111 |
XV |
10000 |
XVI |
10001 |
XVII |
10010 |
XVIII |
10011 |
XIX |
10100 |
XX |
11110 |
XXX |
101000 |
XL |
110010 |
L |
1011010 |
XC |
1100100 |
C |
110010000 |
CD |
111110100 |
D |
1110000100 |
CM |
1111101000 |
M |
11111000110 |
MCMXC |
11111010000 |
MM |
11111101000 |
MMXXIV |
11111101001 |
MMXXV |
11111101010 |
MMXXVI |
111110011111 |
MMMCMXCIX |
Binary to other systems
Other systems to Roman numerals
Reverse conversion
Frequently asked questions
How do you convert binary to Roman numerals?
Go through decimal: first multiply each digit by 2 raised to the power of its position (counting from 0 on the right) and add the results; then repeatedly take away the largest Roman value that fits (1000 = M, 900 = CM, 500 = D, 400 = CD, 100 = C, 90 = XC, 50 = L, 40 = XL, 10 = X, 9 = IX, 5 = V, 4 = IV, 1 = I) and write down its symbol.
What is 11111111 in Roman numerals?
11111111 in binary is CCLV in Roman numerals.
What is the largest number in standard Roman numerals?
3,999, written MMMCMXCIX. Larger numbers need extra notation such as a bar over a letter to multiply it by 1,000.