罗马数字转换器

Convert numbers to Roman numerals and Roman numerals to numbers, from 1 to 3,999 (3,999,999 with overlines), with the standard form of any numeral.

更新于 已验证的示例:8

1 to 3999; up to 3,999,999 with the overline option.
更多选项
试一试
结果
MMXXVI
结果: MMXXVI
数值
2,026

2,026 is MMXXVI: MM = 2,000, XX = 20, VI = 6.

MMXXVI by place value

MM2,000XX20VI6
计算方法 S
  1. Split into place values

    2026=2000+20+62026 = 2000 + 20 + 6
  2. Write each place value

    2000→MM,20→XX,6→VI2000 \to \text{MM},\quad 20 \to \text{XX},\quad 6 \to \text{VI}

    4s and 9s use subtraction: IV, IX, XL, XC, CD, CM.

  3. Join the symbols

    2026=MMXXVI2026 = \text{MMXXVI}

关于罗马数字转换器

Roman numerals write numbers with seven letters: I = 1, V = 5, X = 10, L = 50, C = 100, D = 500 and M = 1000. To convert a number, the converter splits it into thousands, hundreds, tens and ones and writes each place separately; a 4 or 9 puts a smaller letter before a larger one, so 40 is XL and 900 is CM. To read a numeral, it adds the letters from left to right and subtracts any letter that stands before a larger one.

The default, 2026, splits into 2000 + 20 + 6 and becomes MMXXVI. The usual uses are years on buildings and in film credits, clock faces, chapter numbers and outlines. Reading MCMXCIV gives 1000 + 900 + 90 + 4 = 1994.

Standard numerals stop at 3999 (MMMCMXCIX). With the overline option a bar multiplies letters by 1000, so V̅ = 5000, up to 3,999,999. Non-standard numerals such as IIII or IC are still read, and the standard spelling is shown next to the value.

计算示例

2421

单位换算
Number to Roman
Number
2421
结果
MMCDXXI
数值
2,421

核验来源:Wikipedia — Roman numerals, standard-form examples (2421 = MMCDXXI); Python greedy conversion (forkA/verify_roman.py)

1776 (Statue of Liberty tablet)

单位换算
Number to Roman
Number
1776
结果
MDCCLXXVI

核验来源:Inscription JULY IV MDCCLXXVI on the Statue of Liberty's tablet; Python greedy conversion

3999, the largest standard numeral (edge)

单位换算
Number to Roman
Number
3999
结果
MMMCMXCIX

核验来源:Wikipedia — Roman numerals: MMMCMXCIX is the largest number in standard form; Excel ROMAN(3999)

XLII to a number

单位换算
Roman to number
Roman numeral
XLII
结果
42
数值
42
Standard Roman form
XLII

核验来源:XL = 40, II = 2; Python parser (forkA/verify_roman.py)

常见问题

What is 2026 in Roman numerals?

MMXXVI: MM = 2000, XX = 20 and VI = 6. Years are converted one place at a time, so 1999 is MCMXCIX (1000 + 900 + 90 + 9) rather than MIM, and 2000 is simply MM. The same rule gives MDCCLXXVI for 1776, the year inscribed on the tablet held by the Statue of Liberty.

What is the largest Roman numeral?

In standard form the largest number is 3999, written MMMCMXCIX, because there is no letter for 5000 and a letter repeats at most three times. Excel's ROMAN function returns #VALUE! above 3999 for the same reason. Larger numbers used an overline (vinculum) that multiplies by 1000: V̅ is 5000 and I̅V̅ is 4000, which takes this converter up to 3,999,999.

Is 4 written IV or IIII?

IV is the standard form; IIII is the additive form, and both mean 4. Standard form uses only six subtractive pairs: IV, IX, XL, XC, CD and CM. Many clock faces still show IIII for four o'clock while using IX for nine, a practice that goes back to clocks such as the late 14th-century Wells Cathedral clock. The converter reads IIII as 4 and gives IV as the standard spelling.

Why is 99 written XCIX and not IC?

Standard form lets a letter be subtracted only from the next two larger letters: I from V and X, X from L and C, and C from D and M. So 99 is 90 + 9 = XC + IX = XCIX, and 49 is XLIX rather than IL. Excel's ROMAN function breaks the rule only on request: its form 4 writes 499 as ID, while the default form gives CDXCIX.

Is there a Roman numeral for zero?

No. The Roman system had no symbol for zero, so the converter starts at 1. Medieval scholars wrote the Latin word nulla ("none") instead: Dionysius Exiguus used it in 525, and around 725 Bede or a colleague abbreviated it to the letter N.

“罗马数字转换器”有多准确?

准确性取决于输入值和方法的假设。十进制运算使用50位有效数字,但估算、数值方法和源数据的精度可能较低;显示时的舍入并不能消除这些限制。 已按独立来源核验的计算示例:8。 例如,“2421”根据Wikipedia — Roman numerals, standard-form examples (2421 = MMCDXXI); Python greedy conversion (forkA/verify_roman.py)进行核验。

这种方法出自哪里?

Wikipedia — Roman numerals (standard form); Microsoft Excel ROMAN and ARABIC functions.

关于此计算器

I=1, V=5, X=10, L=50, C=100, D=500, M=1000a smaller symbol before a larger one is subtracted: IV=4, XC=90\begin{gathered}\text{I}=1,\ \text{V}=5,\ \text{X}=10,\ \text{L}=50,\ \text{C}=100,\ \text{D}=500,\ \text{M}=1000 \\ \text{a smaller symbol before a larger one is subtracted: IV} = 4,\ \text{XC} = 90\end{gathered}

来源

  1. Wikipedia — Roman numerals (standard form)
  2. Microsoft Excel ROMAN and ARABIC functions

已对照来源验证

此计算器包含 8 个已解示例,答案来自独立来源。这些示例会在测试套件中运行,你也可以在此运行验证。

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