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

Perform the conversion of numbers between different numerical systems.

Roman (Rom) = Decimal (Base 10)

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

Information about conversion units:

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.

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.

Roman (Rom) vs Decimal (Base 10)

Roman (Rom)Decimal (Base 10)
I1
IV4
V5
IX9
X10
XL40
L50
XC90
C100
CD400
D500
CM900
M1000
IV4000
V5000
IX9000
X10000
XL40000
L50000
XC90000
C100000
CD400000
D500000
CM900000
M1000000

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

Note: To convert a number in the Roman numeral system to any other base, we first need to convert the Roman numeral to decimal (base 10). Follow these steps:

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.

Applying the steps to the Roman numeral "CLIX":

  1. C = 100, L = 50, I = 1, X = 10
  2. We observe I = 1 before X = 10, so I is subtracted from X;
  3. Add 100 + 50 + (10 - 1) = 159.

The Roman numeral "CLIX" is equivalent to 159 in decimal.

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

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

Roman (Rom) Decimal (Base 10)
I1
II2
III3
IV4
V5
VI6
VII7
VIII8
IX9
X10
XI11
XII12
XIII13
XIV14
XV15
XVI16
XVII17
XVIII18
XIX19
XX20
XXI21
XXII22
XXIII23
XXIV24
XXV25
XXVI26
XXVII27
XXVIII28
XXIX29
XXX30
XXXI31
XXXII32
XXXIII33
XXXIV34
XXXV35
XXXVI36
XXXVII37
XXXVIII38
XXXIX39
XL40
XLI41
XLII42
XLIII43
XLIV44
XLV45
XLVI46
XLVII47
XLVIII48
XLIX49
L50
LI51
LII52
LIII53
LIV54
LV55
LVI56
LVII57
LVIII58
LIX59
LX60
LXI61
LXII62
LXIII63
LXIV64
LXV65
LXVI66
LXVII67
LXVIII68
LXIX69
LXX70
LXXI71
LXXII72
LXXIII73
LXXIV74
LXXV75
LXXVI76
LXXVII77
LXXVIII78
LXXIX79
LXXX80
LXXXI81
LXXXII82
LXXXIII83
LXXXIV84
LXXXV85
LXXXVI86
LXXXVII87
LXXXVIII88
LXXXIX89
XC90
XCI91
XCII92
XCIII93
XCIV94
XCV95
XCVI96
XCVII97
XCVIII98
XCIX99
C100
CI101
CII102
CIII103
CIV104
CV105
CVI106
CVII107
CVIII108
CIX109
CX110
CXI111
CXII112
CXIII113
CXIV114
CXV115
CXVI116
CXVII117
CXVIII118
CXIX119
CXX120
CXXI121
CXXII122
CXXIII123
CXXIV124
CXXV125
CXXVI126
CXXVII127
CXXVIII128
CXXIX129
CXXX130
CXXXI131
CXXXII132
CXXXIII133
CXXXIV134
CXXXV135
CXXXVI136
CXXXVII137
CXXXVIII138
CXXXIX139
CXL140
CXLI141
CXLII142
CXLIII143
CXLIV144
CXLV145
CXLVI146
CXLVII147
CXLVIII148
CXLIX149
CL150
CLI151
CLII152
CLIII153
CLIV154
CLV155
CLVI156
CLVII157
CLVIII158
CLIX159
CLX160
CLXI161
CLXII162
CLXIII163
CLXIV164
CLXV165
CLXVI166
CLXVII167
CLXVIII168
CLXIX169
CLXX170
CLXXI171
CLXXII172
CLXXIII173
CLXXIV174
CLXXV175
CLXXVI176
CLXXVII177
CLXXVIII178
CLXXIX179
CLXXX180
CLXXXI181
CLXXXII182
CLXXXIII183
CLXXXIV184
CLXXXV185
CLXXXVI186
CLXXXVII187
CLXXXVIII188
CLXXXIX189
CXC190
CXCI191
CXCII192
CXCIII193
CXCIV194
CXCV195
CXCVI196
CXCVII197
CXCVIII198
CXCIX199
CC200
CCI201
CCII202
CCIII203
CCIV204
CCV205
CCVI206
CCVII207
CCVIII208
CCIX209
CCX210
CCXI211
CCXII212
CCXIII213
CCXIV214
CCXV215
CCXVI216
CCXVII217
CCXVIII218
CCXIX219
CCXX220
CCXXI221
CCXXII222
CCXXIII223
CCXXIV224
CCXXV225
CCXXVI226
CCXXVII227
CCXXVIII228
CCXXIX229
CCXXX230
CCXXXI231
CCXXXII232
CCXXXIII233
CCXXXIV234
CCXXXV235
CCXXXVI236
CCXXXVII237
CCXXXVIII238
CCXXXIX239
CCXL240
CCXLI241
CCXLII242
CCXLIII243
CCXLIV244
CCXLV245
CCXLVI246
CCXLVII247
CCXLVIII248
CCXLIX249
CCL250
CCLI251
CCLII252
CCLIII253
CCLIV254
CCLV255
CCLVI256
CCLVII257
CCLVIII258
CCLIX259
CCLX260
CCLXI261
CCLXII262
CCLXIII263
CCLXIV264
CCLXV265
CCLXVI266
CCLXVII267
CCLXVIII268
CCLXIX269
CCLXX270
CCLXXI271
CCLXXII272
CCLXXIII273
CCLXXIV274
CCLXXV275
CCLXXVI276
CCLXXVII277
CCLXXVIII278
CCLXXIX279
CCLXXX280
CCLXXXI281
CCLXXXII282
CCLXXXIII283
CCLXXXIV284
CCLXXXV285
CCLXXXVI286
CCLXXXVII287
CCLXXXVIII288
CCLXXXIX289
CCXC290
CCXCI291
CCXCII292
CCXCIII293
CCXCIV294
CCXCV295
CCXCVI296
CCXCVII297
CCXCVIII298
CCXCIX299
CCC300