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Convert between Arabic numerals (1, 2, 3...) and Roman numerals (I, II, III, IV...) with support for standard and extended notation, large numbers (vinculum notation), additive and subtractive principles, and detailed conversion explanations.
Note: AI can make mistakes, so please double-check it.
Common questions about this tool
Convert between Arabic numerals (1, 2, 3...) and Roman numerals (I, II, III, IV...) with support for standard and extended notation, large numbers (vinculum notation), additive and subtractive princip...
The converter supports multiple input and output formats. Check the tool description for specific format support, and the converter handles conversion between compatible formats accurately.
Yes, the converter uses precise algorithms and formulas to ensure accurate conversions. Results are calculated according to standard conversion rates and mathematical formulas for reliable results.
Yes, you can convert multiple values in batch. The tool processes each value and provides conversion results, making it efficient for processing multiple conversions simultaneously.
The converter handles standard conversion scenarios accurately. For very large numbers or edge cases, check the tool's specifications. Most common conversions work perfectly without limitations.
Verified content & sources
This tool's content and its supporting explanations have been created and reviewed by subject-matter experts. Calculations and logic are based on established research sources.
Scope: interactive tool, explanatory content, and related articles.
ToolGrid — Product & Engineering
Leads product strategy, technical architecture, and implementation of the core platform that powers ToolGrid calculators.
ToolGrid — Research & Content
Conducts research, designs calculation methodologies, and produces explanatory content to ensure accurate, practical, and trustworthy tool outputs.
Based on 1 research source:
Learn what this tool does, when to use it, and how it fits into your workflow.
This tool converts between Arabic numerals (1, 2, 3, and so on) and Roman numerals (I, II, III, IV, and so on). You enter either a number or a Roman numeral. The tool shows the other form at once. It works only for whole numbers from 1 to 3999. So you can turn 2024 into MMXXIV or turn MMXXIV into 2024. The tool also shows a breakdown of how the Roman numeral is built (each part and its value) and can warn you if you typed a non standard form (for example IIII instead of IV).
Roman numerals use letters: I, V, X, L, C, D, M. Each has a value. Some numbers are written by putting a smaller letter before a larger one to mean subtract (for example IV is 4, not 6). People use them on clocks, in outlines, or in dates. Converting by hand is easy to get wrong. This tool does the conversion and shows the breakdown so you can see how the result was built. So you get the correct Roman or Arabic form and can learn the pattern.
The tool is for students, teachers, and anyone who needs Roman numerals. You do not need to know the rules. You type a number or Roman letters and read the result. An optional historical insights feature sends your number to a remote service and may return a short text about that number; the conversion does not depend on it.
Roman numerals are an old way to write numbers using letters. I is 1, V is 5, X is 10, L is 50, C is 100, D is 500, M is 1000. To write a number you add the values of the letters. So II is 2, VI is 6, and XII is 12. Sometimes a smaller value is written before a larger one to mean subtract. So IV is 5 minus 1 equals 4, and IX is 10 minus 1 equals 9. The standard way to write 4 is IV, not IIII. The tool uses these standard subtractive pairs: IV for 4, IX for 9, XL for 40, XC for 90, CD for 400, CM for 900. So every number from 1 to 3999 has one standard Roman form. A related operation involves converting text case as part of a similar workflow.
Converting from Arabic to Roman means breaking the number into parts (1000s, 900s, 500s, and so on) and writing the right letters. Converting from Roman to Arabic means reading the string from left to right, matching the longest possible group (for example CM before C), and adding or subtracting as needed. The tool does both. It only supports numbers from 1 to 3999 because standard Roman numerals without extra notation do not go higher. So you cannot enter 4000 or higher; the tool will show an error.
People struggle when they convert by hand. They forget that IV is 4 and VI is 6. They repeat I four times instead of using IV. They mix up the order. This tool applies the rules and shows a breakdown: each part of the Roman numeral (for example M, M, X, X, IV) with its value and the total. So you see how the result was built. If you type a non standard form (like IIII for 4) the tool still converts it to the number 4 but shows a warning and the standard form (IV). So you learn the standard while the tool still understands your input.
You need to write a year in Roman numerals (for example 2024). You enter 2024 and read the result MMXXIV. You copy it and use it in your document or design. For adjacent tasks, converting currencies addresses a complementary step.
You see a Roman numeral on a building or in a book and want to know the number. You type the letters (for example MMXXIV) and read the result 2024. You can check the breakdown to see how it was parsed.
You are learning Roman numerals and want to see how a number is built. You enter a number and read the breakdown. You see each part (M, CM, X, IV, and so on) and its value. So you understand the additive and subtractive pattern.
You typed IIII instead of IV. The tool still shows 4 and a warning that the standard form is IV. So you get the right number and learn the correct form. When working with related formats, converting epoch values can be a useful part of the process.
You want a short comment about a number (for example why it is famous). You convert the number, expand Historical insights, and click Get insights. If the service responds you see a text. If it fails you still have the conversion.
Converting from Arabic to Roman uses a fixed order of parts: M (1000), CM (900), D (500), CD (400), C (100), XC (90), L (50), XL (40), X (10), IX (9), V (5), IV (4), I (1). The tool takes the number and subtracts the largest possible part at each step, appending the corresponding letters. So 2024 becomes M + M + X + X + IV = MMXXIV. Only numbers from 1 to 3999 are converted; outside that range the tool returns an error.
Converting from Roman to Arabic reads the string from left to right. The tool tries to match the longest possible part first (so CM is matched before C). When it finds a match it adds that value to the total and moves forward. So MMXXIV is 1000 + 1000 + 10 + 10 + 4 = 2024. If at any position no part matches (invalid letter or invalid order) the tool returns an error. The input is converted to uppercase before parsing. So case does not matter. In some workflows, converting to lowercase is a relevant follow-up operation.
The breakdown is built by parsing the Roman numeral with the same part order and listing each part with its value (for example M(1000), IV(4)). These are joined with plus signs and the total is shown. So you see the same logic that was used to compute the number.
Validation checks: only I, V, X, L, C, D, M are allowed. I, X, C, and M must not appear more than three times in a row. V, L, and D must not be repeated. If the input Roman form is not the standard (canonical) form for that number, the tool still converts it and shows a warning with the standard form. So non standard but valid sequences (like IIII for 4) are accepted with a warning. Empty input or input longer than 50 characters also produces an error message.
| Letter | Value |
|---|---|
| I | 1 |
| V | 5 |
| X | 10 |
| L | 50 |
| C | 100 |
| D | 500 |
| M | 1000 |
Subtractive pairs: IV = 4, IX = 9, XL = 40, XC = 90, CD = 400, CM = 900. For related processing needs, converting to uppercase handles a complementary task.
Limits:
| Limit | Value |
|---|---|
| Arabic number range | 1 to 3999 only |
| Max input length | 50 characters |
| Allowed Roman characters | I, V, X, L, C, D, M only |
Standard rules: I, X, C, M may repeat up to three times in a row; V, L, D must not repeat. Non standard forms (e.g. IIII for 4) may be accepted with a warning.
Enter only a number from 1 to 3999 or a Roman numeral using the seven letters. The tool does not support numbers outside 1–3999. It does not support vinculum or other extended notation for large numbers. So for 4000 or higher you cannot get a Roman result; use another resource or notation.
Use only the letters I, V, X, L, C, D, M. Do not use spaces or other symbols inside the Roman input. The tool converts letters to uppercase so you can type in lower or upper case. If you see invalid characters, remove any letter or symbol that is not one of the seven.
If you see a warning about non canonical form, the tool is telling you the standard way to write that number in Roman. For example IIII is often accepted on clocks but the standard form for 4 is IV. You can keep your input or change it to the standard form shown in the warning.
Historical insights is optional and can fail. You may see no historical context found or could not fetch. The conversion does not depend on it. You can always use the breakdown to understand how the Roman numeral was built.
Copy copies only the result (the Roman numeral or the Arabic number). It does not copy the breakdown. If you need the breakdown elsewhere, copy it by hand from the breakdown section.
Articles and guides to get more from this tool
When you see "MMXXVI" carved into stone, printed on a copyright notice, or tattooed on someone's arm, you're looking at a number system that…
Read full articleSummary: Convert between Arabic numerals (1, 2, 3...) and Roman numerals (I, II, III, IV...) with support for standard and extended notation, large numbers (vinculum notation), additive and subtractive principles, and detailed conversion explanations.