At One Place

421 in Roman numerals

421 in Roman numerals
CDXXI

421 is written CDXXI in Roman numerals. That is 4 symbol groups added together, reading left to right from the largest value down.

How it breaks down

CDXXI = 400 + 10 + 10 + 1 = 421
Group Value Subtraction Running total
CD 400 D − C 400
X 10 410
X 10 420
I 1 421

Why the smaller symbol comes first

CDXXI uses subtractive notation in one place: CD means D minus C, or 400. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.

Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.

The symbols

Symbol Value Used here
I 1 yes — 1×
V 5 no
X 10 yes — 2×
L 50 no
C 100 yes — 1×
D 500 yes — 1×
M 1,000 no

The same number, other ways

In words
Four hundred twenty-one
Roman numeral
CDXXI
Symbol count
5 characters
Binary
110100101
Hexadecimal
1A5

The numbers either side

Number Roman numeral
419 CDXIX
420 CDXX
421 CDXXI ←
422 CDXXII
423 CDXXIII

Common questions

What is 421 in Roman numerals?
421 is CDXXI.
What does CDXXI mean?
CDXXI is the Roman numeral for 421 — 400 + 10 + 10 + 1.
How do you write 421 in Roman numerals?
Take the largest value that fits and repeat until nothing is left: CD (400), then X (10), then X (10), then I (1). That gives CDXXI.

Related pages

Sources

  1. Calculated on this page — At One Place

How these figures are compiled and checked