Binary to Roman Numerals Converter [2025]
Convert binary numbers to Roman numerals with ease. Support for batch conversion and decimal equivalents.
Quick Reference
Binary
- 1 → 1₁₀
- 101 → 5₁₀
- 1010 → 10₁₀
- 1100 → 12₁₀
Roman
- I = 1
- V = 5
- X = 10
- L = 50
About Binary and Roman Numerals
Binary Numbers
Binary is a base-2 number system using only 0 and 1. Each position represents a power of 2, making it fundamental to computer systems and digital logic. For example, 1010₂ equals 10₁₀ (8 + 0 + 2 + 0).
Roman Numerals
Roman numerals are an ancient number system using letters: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). Numbers are formed by combining these symbols, with special rules for subtractive notation like IV (4) and IX (9).
Conversion Guide
Common Binary Numbers
- 1 → I
- 10 → II
- 11 → III
- 100 → IV
- 101 → V
- 110 → VI
- 111 → VII
- 1000 → VIII
Roman Numeral Rules
- Numbers are typically written largest to smallest
- Maximum of three consecutive same symbols
- Subtractive notation for numbers like 4 (IV) and 9 (IX)
- Valid for numbers 1 to 3999
Features
- Convert multiple binary numbers at once (one per line)
- See decimal equivalents for easy verification
- Copy results with a single click
- Input validation and error checking
- Support for numbers from 1 to 3999
- Quick reference guide included
- Real-time conversion
- Clear error messages for invalid inputs
Conversion Examples
Usage Tips
Input Format
Enter each binary number on a new line. The number should contain only 0s and 1s. Numbers that convert to decimal values between 1 and 3999 are supported.
Batch Processing
You can convert multiple numbers at once by entering them on separate lines. Each conversion shows both the decimal equivalent and Roman numeral result.
Error Handling
The converter will show error messages for:
- Invalid binary numbers (containing digits other than 0 and 1)
- Numbers that convert to values below 1 or above 3999
- Empty lines or invalid input formats
Common Applications
- Educational purposes - learning number systems and conversions
- Digital electronics and computer science studies
- Creating cross-referencing tables between number systems
- Verifying binary to decimal to Roman numeral conversions
- Historical numbering system comparisons
- Programming exercises and challenges
Limitations
- Only converts positive integers (no negative numbers or decimals)
- Maximum decimal equivalent of 3999 (Roman numeral MMMCMXCIX)
- Minimum decimal equivalent of 1 (Roman numeral I)
- Binary numbers must be properly formatted (only 0s and 1s)
- Does not support alternative Roman numeral notations
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