Roman Numeral Converter

Roman Numeral Converter:

• Converts between Roman numerals and Arabic numbers
• Supports numbers from 1 to 3999
• Validates Roman numeral format
• Provides bidirectional conversion

Roman Numeral System:

• I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000
• Subtractive notation (IV = 4, IX = 9, XL = 40)
• Additive notation (VI = 6, XI = 11, LX = 60)
• Maximum value: 3999 (MMMCMXCIX)

Validation Rules:

• No more than three of the same symbol in a row
• Subtractive pairs (IV, IX, XL, XC, CD, CM, D, M) are valid
• Additive notation is preferred
• Lowercase letters are converted to uppercase

Historical Context:

• Used by ancient Romans for counting
• Still used for formal numbering (years, book chapters)
• Originated around 500 BCE
• Evolved from Etruscan numerals

Modern Uses:

• Book chapters and page numbers
• Year numbering on monuments
• Formal document numbering
• Clock faces and watch faces

Examples:

• 2024 = MMXXIV
• 1999 = MCMXCIX
• 44 = XLIV
• 9 = IX
• 4 = IV

Common Patterns:

• Thousands: M = 1000, MM = 2000, MMM = 3000
• Hundreds: C = 100, CC = 200, CCC = 300
• Tens: X = 10, XX = 20, XXX = 30
• Units: I = 1, II = 2, III = 3

Mathematical Properties:

• Not a positional system
• No zero concept
• Limited to specific range
• No negative numbers

Programming Note:

• This converter handles validation automatically
• Invalid formats return error messages
• Both directions use the same validation logic
• Maximum supported value is 3999