Convert from Octal (Base 8) to Roman (Rom)
Perform the conversion of numbers between different numerical systems.
Octal (Base 8) = Roman (Rom)
Information about conversion units:
About Octal (Base 8)
The octal system is the positional numeral system with a base of 8, using the Arabic-Indic digits: 0, 1, 2, 3, 4, 5, 6, 7. In computing, octal numbering is sometimes used instead of hexadecimal. It has the advantage of not requiring symbols other than digits.
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.
Octal (Base 8) vs Roman (Rom)
Octal (Base 8) | Decimal (Base 10) | Roman (Rom) |
---|---|---|
1 | 1 | I |
4 | 4 | IV |
5 | 5 | V |
11 | 9 | IX |
12 | 10 | X |
50 | 40 | XL |
62 | 50 | L |
132 | 90 | XC |
144 | 100 | C |
620 | 400 | CD |
764 | 500 | D |
1604 | 900 | CM |
1750 | 1000 | M |
7640 | 4000 | IV |
11610 | 5000 | V |
21450 | 9000 | IX |
23420 | 10000 | X |
116100 | 40000 | XL |
141520 | 50000 | L |
257620 | 90000 | XC |
303240 | 100000 | C |
1415200 | 400000 | CD |
1720440 | 500000 | D |
3335640 | 900000 | CM |
3641100 | 1000000 | M |
¿How to convert from Octal (Base 8) to Roman (Rom)?
Note: To convert a number from octal (base 8) to any other base, we first need to convert the octal value to decimal (base 10). To do this, follow these steps:
- Identify each digit of the octal number.
- Calculate the position of each digit. Start from the rightmost digit, which will have a position of 0. Each digit to the left will have an incremental position of 1 (1, 2, 3, etc.).
- Calculate the decimal value of each digit by multiplying it by the base (8) raised to the position of the digit. For example: digit * 8^position.
- Add up the values obtained in the previous step to get the equivalent decimal number.
Applying these steps to the octal number 237:
- 2, 3, and 7 are the digits.
- From right to left, the positions are 0, 1, and 2.
- 2 * 8^2 = 128; 3 * 8^1 = 24; 7 * 8^0 = 7.
- 128 + 24 + 7 = 159 decimal
Therefore, 237 octal = 159 decimal.
![Visual example of the procedure to convert an octal number to decimal. Visual example of the procedure to convert an octal number to decimal.](/data/img/number_base/oct_to_dec.jpg)
To convert a decimal number to a Roman numeral, you need to follow a series of rules:
Roman Numerals and Their Basic Rules.
- The Roman numerals I, X, C, and M can be repeated up to three times when writing a composite Roman numeral.
- The Roman numerals V, L, and D cannot be repeated.
- 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.
- 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.
- 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. Basic equivalence table for Roman numerals.](/data/img/number_base/dec_rom.jpg)
Steps to convert the decimal number 159 into a Roman numeral:
- Break down the number into units, in this case: 100, 50, and 9.
- Translate using the table, each decimal number to its equivalent Roman numeral. In this case: C=100, L=50, and IX=9.
- 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 process from a decimal number or base 10 to a Roman numeral.](/data/img/number_base/dec_to_rom.jpg)
Conversion table of Octal (Base 8) to Roman (Rom)
Octal (Base 8) | Roman (Rom) |
---|---|
1 | I |
2 | II |
3 | III |
4 | IV |
5 | V |
6 | VI |
7 | VII |
10 | VIII |
11 | IX |
12 | X |
13 | XI |
14 | XII |
15 | XIII |
16 | XIV |
17 | XV |
20 | XVI |
21 | XVII |
22 | XVIII |
23 | XIX |
24 | XX |
25 | XXI |
26 | XXII |
27 | XXIII |
30 | XXIV |
31 | XXV |
32 | XXVI |
33 | XXVII |
34 | XXVIII |
35 | XXIX |
36 | XXX |
37 | XXXI |
40 | XXXII |
41 | XXXIII |
42 | XXXIV |
43 | XXXV |
44 | XXXVI |
45 | XXXVII |
46 | XXXVIII |
47 | XXXIX |
50 | XL |
51 | XLI |
52 | XLII |
53 | XLIII |
54 | XLIV |
55 | XLV |
56 | XLVI |
57 | XLVII |
60 | XLVIII |
61 | XLIX |
62 | L |
63 | LI |
64 | LII |
65 | LIII |
66 | LIV |
67 | LV |
70 | LVI |
71 | LVII |
72 | LVIII |
73 | LIX |
74 | LX |
75 | LXI |
76 | LXII |
77 | LXIII |
100 | LXIV |
101 | LXV |
102 | LXVI |
103 | LXVII |
104 | LXVIII |
105 | LXIX |
106 | LXX |
107 | LXXI |
110 | LXXII |
111 | LXXIII |
112 | LXXIV |
113 | LXXV |
114 | LXXVI |
115 | LXXVII |
116 | LXXVIII |
117 | LXXIX |
120 | LXXX |
121 | LXXXI |
122 | LXXXII |
123 | LXXXIII |
124 | LXXXIV |
125 | LXXXV |
126 | LXXXVI |
127 | LXXXVII |
130 | LXXXVIII |
131 | LXXXIX |
132 | XC |
133 | XCI |
134 | XCII |
135 | XCIII |
136 | XCIV |
137 | XCV |
140 | XCVI |
141 | XCVII |
142 | XCVIII |
143 | XCIX |
144 | C |
145 | CI |
146 | CII |
147 | CIII |
150 | CIV |
151 | CV |
152 | CVI |
153 | CVII |
154 | CVIII |
155 | CIX |
156 | CX |
157 | CXI |
160 | CXII |
161 | CXIII |
162 | CXIV |
163 | CXV |
164 | CXVI |
165 | CXVII |
166 | CXVIII |
167 | CXIX |
170 | CXX |
171 | CXXI |
172 | CXXII |
173 | CXXIII |
174 | CXXIV |
175 | CXXV |
176 | CXXVI |
177 | CXXVII |
200 | CXXVIII |
201 | CXXIX |
202 | CXXX |
203 | CXXXI |
204 | CXXXII |
205 | CXXXIII |
206 | CXXXIV |
207 | CXXXV |
210 | CXXXVI |
211 | CXXXVII |
212 | CXXXVIII |
213 | CXXXIX |
214 | CXL |
215 | CXLI |
216 | CXLII |
217 | CXLIII |
220 | CXLIV |
221 | CXLV |
222 | CXLVI |
223 | CXLVII |
224 | CXLVIII |
225 | CXLIX |
226 | CL |
227 | CLI |
230 | CLII |
231 | CLIII |
232 | CLIV |
233 | CLV |
234 | CLVI |
235 | CLVII |
236 | CLVIII |
237 | CLIX |
240 | CLX |
241 | CLXI |
242 | CLXII |
243 | CLXIII |
244 | CLXIV |
245 | CLXV |
246 | CLXVI |
247 | CLXVII |
250 | CLXVIII |
251 | CLXIX |
252 | CLXX |
253 | CLXXI |
254 | CLXXII |
255 | CLXXIII |
256 | CLXXIV |
257 | CLXXV |
260 | CLXXVI |
261 | CLXXVII |
262 | CLXXVIII |
263 | CLXXIX |
264 | CLXXX |
265 | CLXXXI |
266 | CLXXXII |
267 | CLXXXIII |
270 | CLXXXIV |
271 | CLXXXV |
272 | CLXXXVI |
273 | CLXXXVII |
274 | CLXXXVIII |
275 | CLXXXIX |
276 | CXC |
277 | CXCI |
300 | CXCII |
301 | CXCIII |
302 | CXCIV |
303 | CXCV |
304 | CXCVI |
305 | CXCVII |
306 | CXCVIII |
307 | CXCIX |
310 | CC |
311 | CCI |
312 | CCII |
313 | CCIII |
314 | CCIV |
315 | CCV |
316 | CCVI |
317 | CCVII |
320 | CCVIII |
321 | CCIX |
322 | CCX |
323 | CCXI |
324 | CCXII |
325 | CCXIII |
326 | CCXIV |
327 | CCXV |
330 | CCXVI |
331 | CCXVII |
332 | CCXVIII |
333 | CCXIX |
334 | CCXX |
335 | CCXXI |
336 | CCXXII |
337 | CCXXIII |
340 | CCXXIV |
341 | CCXXV |
342 | CCXXVI |
343 | CCXXVII |
344 | CCXXVIII |
345 | CCXXIX |
346 | CCXXX |
347 | CCXXXI |
350 | CCXXXII |
351 | CCXXXIII |
352 | CCXXXIV |
353 | CCXXXV |
354 | CCXXXVI |
355 | CCXXXVII |
356 | CCXXXVIII |
357 | CCXXXIX |
360 | CCXL |
361 | CCXLI |
362 | CCXLII |
363 | CCXLIII |
364 | CCXLIV |
365 | CCXLV |
366 | CCXLVI |
367 | CCXLVII |
370 | CCXLVIII |
371 | CCXLIX |
372 | CCL |
373 | CCLI |
374 | CCLII |
375 | CCLIII |
376 | CCLIV |
377 | CCLV |
400 | CCLVI |
401 | CCLVII |
402 | CCLVIII |
403 | CCLIX |
404 | CCLX |
405 | CCLXI |
406 | CCLXII |
407 | CCLXIII |
410 | CCLXIV |
411 | CCLXV |
412 | CCLXVI |
413 | CCLXVII |
414 | CCLXVIII |
415 | CCLXIX |
416 | CCLXX |
417 | CCLXXI |
420 | CCLXXII |
421 | CCLXXIII |
422 | CCLXXIV |
423 | CCLXXV |
424 | CCLXXVI |
425 | CCLXXVII |
426 | CCLXXVIII |
427 | CCLXXIX |
430 | CCLXXX |
431 | CCLXXXI |
432 | CCLXXXII |
433 | CCLXXXIII |
434 | CCLXXXIV |
435 | CCLXXXV |
436 | CCLXXXVI |
437 | CCLXXXVII |
440 | CCLXXXVIII |
441 | CCLXXXIX |
442 | CCXC |
443 | CCXCI |
444 | CCXCII |
445 | CCXCIII |
446 | CCXCIV |
447 | CCXCV |
450 | CCXCVI |
451 | CCXCVII |
452 | CCXCVIII |
453 | CCXCIX |
454 | CCC |