Convert from Decimal (Base 10) to Roman (Rom)

Perform the conversion of numbers between different numerical systems.

Decimal (Base 10) = Roman (Rom)

Convert from Roman (Rom) to Decimal (Base 10)

Information about conversion units:

About Decimal (Base 10)

The Decimal Number System is a positional numeral system and is the system that we all use without realizing why. The Decimal System uses 10 digits (from 0 to 9). By combining these digits, larger numbers can be expressed.

About Roman (Rom)

The Roman numeral system is an ancient numeric system that was used in the Roman Empire. In this system, letters are used to represent numbers, with the most commonly used letters being I, V, X, L, C, D, and M. Each letter has a specific numeric value, and they are combined in certain ways to form numbers. Unlike the decimal system, the Roman numeral system doesn't have a native representation of zero. That means there is no specific symbol for zero in the Roman numeral system. Despite this, the Roman numeral system is still used in some contexts, such as numbering years in certain calendars.

Decimal (Base 10) vs Roman (Rom)

Decimal (Base 10)Roman (Rom)
1I
4IV
5V
9IX
10X
40XL
50L
90XC
100C
400CD
500D
900CM
1000M
4000IV
5000V
9000IX
10000X
40000XL
50000L
90000XC
100000C
400000CD
500000D
900000CM
1000000M

¿How to convert from Decimal (Base 10) to Roman (Rom)?

To convert a decimal number to a Roman numeral, you need to follow a series of rules:

Roman Numerals and Their Basic Rules.

  1. The Roman numerals I, X, C, and M can be repeated up to three times when writing a composite Roman numeral.
  2. The Roman numerals V, L, and D cannot be repeated.
  3. If a composite Roman numeral has a smaller number to the right than to the left, then both are added. Example: XI: The number on the right (I = 1) is smaller than on the left (X = 10), so they are added, i.e., XI = 11.
  4. If a composite Roman numeral has a larger number to the right and it is I, X, or C, then the left is subtracted from the right. Example: IX: The number on the right (X = 10) is larger than on the left (I = 1), and it's I, so the left is subtracted from the right, i.e., IX = 9.
  5. If a Roman numeral has a line over it, its value is multiplied by a thousand. Example: IX

    : the number is 9,000, as it's the Roman numeral representing 9 and the line over it multiplies it by a thousand.

Basic equivalence table for Roman numerals.

Steps to convert the decimal number 159 into a Roman numeral:

  1. Break down the number into units, in this case: 100, 50, and 9.
  2. Translate using the table, each decimal number to its equivalent Roman numeral. In this case: C=100, L=50, and IX=9.
  3. Write the result from largest to smallest unit or from left to right: CLIX.

As a result, the decimal number 159 is equal to CLIX in Roman numerals.

Conversion process from a decimal number or base 10 to a Roman numeral.

Conversion table of Decimal (Base 10) to Roman (Rom)

Decimal (Base 10) Roman (Rom)
1I
2II
3III
4IV
5V
6VI
7VII
8VIII
9IX
10X
11XI
12XII
13XIII
14XIV
15XV
16XVI
17XVII
18XVIII
19XIX
20XX
21XXI
22XXII
23XXIII
24XXIV
25XXV
26XXVI
27XXVII
28XXVIII
29XXIX
30XXX
31XXXI
32XXXII
33XXXIII
34XXXIV
35XXXV
36XXXVI
37XXXVII
38XXXVIII
39XXXIX
40XL
41XLI
42XLII
43XLIII
44XLIV
45XLV
46XLVI
47XLVII
48XLVIII
49XLIX
50L
51LI
52LII
53LIII
54LIV
55LV
56LVI
57LVII
58LVIII
59LIX
60LX
61LXI
62LXII
63LXIII
64LXIV
65LXV
66LXVI
67LXVII
68LXVIII
69LXIX
70LXX
71LXXI
72LXXII
73LXXIII
74LXXIV
75LXXV
76LXXVI
77LXXVII
78LXXVIII
79LXXIX
80LXXX
81LXXXI
82LXXXII
83LXXXIII
84LXXXIV
85LXXXV
86LXXXVI
87LXXXVII
88LXXXVIII
89LXXXIX
90XC
91XCI
92XCII
93XCIII
94XCIV
95XCV
96XCVI
97XCVII
98XCVIII
99XCIX
100C
101CI
102CII
103CIII
104CIV
105CV
106CVI
107CVII
108CVIII
109CIX
110CX
111CXI
112CXII
113CXIII
114CXIV
115CXV
116CXVI
117CXVII
118CXVIII
119CXIX
120CXX
121CXXI
122CXXII
123CXXIII
124CXXIV
125CXXV
126CXXVI
127CXXVII
128CXXVIII
129CXXIX
130CXXX
131CXXXI
132CXXXII
133CXXXIII
134CXXXIV
135CXXXV
136CXXXVI
137CXXXVII
138CXXXVIII
139CXXXIX
140CXL
141CXLI
142CXLII
143CXLIII
144CXLIV
145CXLV
146CXLVI
147CXLVII
148CXLVIII
149CXLIX
150CL
151CLI
152CLII
153CLIII
154CLIV
155CLV
156CLVI
157CLVII
158CLVIII
159CLIX
160CLX
161CLXI
162CLXII
163CLXIII
164CLXIV
165CLXV
166CLXVI
167CLXVII
168CLXVIII
169CLXIX
170CLXX
171CLXXI
172CLXXII
173CLXXIII
174CLXXIV
175CLXXV
176CLXXVI
177CLXXVII
178CLXXVIII
179CLXXIX
180CLXXX
181CLXXXI
182CLXXXII
183CLXXXIII
184CLXXXIV
185CLXXXV
186CLXXXVI
187CLXXXVII
188CLXXXVIII
189CLXXXIX
190CXC
191CXCI
192CXCII
193CXCIII
194CXCIV
195CXCV
196CXCVI
197CXCVII
198CXCVIII
199CXCIX
200CC
201CCI
202CCII
203CCIII
204CCIV
205CCV
206CCVI
207CCVII
208CCVIII
209CCIX
210CCX
211CCXI
212CCXII
213CCXIII
214CCXIV
215CCXV
216CCXVI
217CCXVII
218CCXVIII
219CCXIX
220CCXX
221CCXXI
222CCXXII
223CCXXIII
224CCXXIV
225CCXXV
226CCXXVI
227CCXXVII
228CCXXVIII
229CCXXIX
230CCXXX
231CCXXXI
232CCXXXII
233CCXXXIII
234CCXXXIV
235CCXXXV
236CCXXXVI
237CCXXXVII
238CCXXXVIII
239CCXXXIX
240CCXL
241CCXLI
242CCXLII
243CCXLIII
244CCXLIV
245CCXLV
246CCXLVI
247CCXLVII
248CCXLVIII
249CCXLIX
250CCL
251CCLI
252CCLII
253CCLIII
254CCLIV
255CCLV
256CCLVI
257CCLVII
258CCLVIII
259CCLIX
260CCLX
261CCLXI
262CCLXII
263CCLXIII
264CCLXIV
265CCLXV
266CCLXVI
267CCLXVII
268CCLXVIII
269CCLXIX
270CCLXX
271CCLXXI
272CCLXXII
273CCLXXIII
274CCLXXIV
275CCLXXV
276CCLXXVI
277CCLXXVII
278CCLXXVIII
279CCLXXIX
280CCLXXX
281CCLXXXI
282CCLXXXII
283CCLXXXIII
284CCLXXXIV
285CCLXXXV
286CCLXXXVI
287CCLXXXVII
288CCLXXXVIII
289CCLXXXIX
290CCXC
291CCXCI
292CCXCII
293CCXCIII
294CCXCIV
295CCXCV
296CCXCVI
297CCXCVII
298CCXCVIII
299CCXCIX
300CCC