Convert from Octal (Base 8) to Decimal (Base 10)
Perform the conversion of numbers between different numerical systems.
Octal (Base 8) = Decimal (Base 10)
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 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.
Octal (Base 8) vs Decimal (Base 10)
Octal (Base 8) | Decimal (Base 10) |
---|---|
0 | 0 |
1 | 1 |
2 | 2 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 6 |
7 | 7 |
10 | 8 |
11 | 9 |
¿How to convert from Octal (Base 8) to Decimal (Base 10)?
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.
Conversion table of Octal (Base 8) to Decimal (Base 10)
Octal (Base 8) | Decimal (Base 10) |
---|---|
1 | 1 |
2 | 2 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 6 |
7 | 7 |
10 | 8 |
11 | 9 |
12 | 10 |
13 | 11 |
14 | 12 |
15 | 13 |
16 | 14 |
17 | 15 |
20 | 16 |
21 | 17 |
22 | 18 |
23 | 19 |
24 | 20 |
25 | 21 |
26 | 22 |
27 | 23 |
30 | 24 |
31 | 25 |
32 | 26 |
33 | 27 |
34 | 28 |
35 | 29 |
36 | 30 |
37 | 31 |
40 | 32 |
41 | 33 |
42 | 34 |
43 | 35 |
44 | 36 |
45 | 37 |
46 | 38 |
47 | 39 |
50 | 40 |
51 | 41 |
52 | 42 |
53 | 43 |
54 | 44 |
55 | 45 |
56 | 46 |
57 | 47 |
60 | 48 |
61 | 49 |
62 | 50 |
63 | 51 |
64 | 52 |
65 | 53 |
66 | 54 |
67 | 55 |
70 | 56 |
71 | 57 |
72 | 58 |
73 | 59 |
74 | 60 |
75 | 61 |
76 | 62 |
77 | 63 |
100 | 64 |
101 | 65 |
102 | 66 |
103 | 67 |
104 | 68 |
105 | 69 |
106 | 70 |
107 | 71 |
110 | 72 |
111 | 73 |
112 | 74 |
113 | 75 |
114 | 76 |
115 | 77 |
116 | 78 |
117 | 79 |
120 | 80 |
121 | 81 |
122 | 82 |
123 | 83 |
124 | 84 |
125 | 85 |
126 | 86 |
127 | 87 |
130 | 88 |
131 | 89 |
132 | 90 |
133 | 91 |
134 | 92 |
135 | 93 |
136 | 94 |
137 | 95 |
140 | 96 |
141 | 97 |
142 | 98 |
143 | 99 |
144 | 100 |
145 | 101 |
146 | 102 |
147 | 103 |
150 | 104 |
151 | 105 |
152 | 106 |
153 | 107 |
154 | 108 |
155 | 109 |
156 | 110 |
157 | 111 |
160 | 112 |
161 | 113 |
162 | 114 |
163 | 115 |
164 | 116 |
165 | 117 |
166 | 118 |
167 | 119 |
170 | 120 |
171 | 121 |
172 | 122 |
173 | 123 |
174 | 124 |
175 | 125 |
176 | 126 |
177 | 127 |
200 | 128 |
201 | 129 |
202 | 130 |
203 | 131 |
204 | 132 |
205 | 133 |
206 | 134 |
207 | 135 |
210 | 136 |
211 | 137 |
212 | 138 |
213 | 139 |
214 | 140 |
215 | 141 |
216 | 142 |
217 | 143 |
220 | 144 |
221 | 145 |
222 | 146 |
223 | 147 |
224 | 148 |
225 | 149 |
226 | 150 |
227 | 151 |
230 | 152 |
231 | 153 |
232 | 154 |
233 | 155 |
234 | 156 |
235 | 157 |
236 | 158 |
237 | 159 |
240 | 160 |
241 | 161 |
242 | 162 |
243 | 163 |
244 | 164 |
245 | 165 |
246 | 166 |
247 | 167 |
250 | 168 |
251 | 169 |
252 | 170 |
253 | 171 |
254 | 172 |
255 | 173 |
256 | 174 |
257 | 175 |
260 | 176 |
261 | 177 |
262 | 178 |
263 | 179 |
264 | 180 |
265 | 181 |
266 | 182 |
267 | 183 |
270 | 184 |
271 | 185 |
272 | 186 |
273 | 187 |
274 | 188 |
275 | 189 |
276 | 190 |
277 | 191 |
300 | 192 |
301 | 193 |
302 | 194 |
303 | 195 |
304 | 196 |
305 | 197 |
306 | 198 |
307 | 199 |
310 | 200 |
311 | 201 |
312 | 202 |
313 | 203 |
314 | 204 |
315 | 205 |
316 | 206 |
317 | 207 |
320 | 208 |
321 | 209 |
322 | 210 |
323 | 211 |
324 | 212 |
325 | 213 |
326 | 214 |
327 | 215 |
330 | 216 |
331 | 217 |
332 | 218 |
333 | 219 |
334 | 220 |
335 | 221 |
336 | 222 |
337 | 223 |
340 | 224 |
341 | 225 |
342 | 226 |
343 | 227 |
344 | 228 |
345 | 229 |
346 | 230 |
347 | 231 |
350 | 232 |
351 | 233 |
352 | 234 |
353 | 235 |
354 | 236 |
355 | 237 |
356 | 238 |
357 | 239 |
360 | 240 |
361 | 241 |
362 | 242 |
363 | 243 |
364 | 244 |
365 | 245 |
366 | 246 |
367 | 247 |
370 | 248 |
371 | 249 |
372 | 250 |
373 | 251 |
374 | 252 |
375 | 253 |
376 | 254 |
377 | 255 |
400 | 256 |
401 | 257 |
402 | 258 |
403 | 259 |
404 | 260 |
405 | 261 |
406 | 262 |
407 | 263 |
410 | 264 |
411 | 265 |
412 | 266 |
413 | 267 |
414 | 268 |
415 | 269 |
416 | 270 |
417 | 271 |
420 | 272 |
421 | 273 |
422 | 274 |
423 | 275 |
424 | 276 |
425 | 277 |
426 | 278 |
427 | 279 |
430 | 280 |
431 | 281 |
432 | 282 |
433 | 283 |
434 | 284 |
435 | 285 |
436 | 286 |
437 | 287 |
440 | 288 |
441 | 289 |
442 | 290 |
443 | 291 |
444 | 292 |
445 | 293 |
446 | 294 |
447 | 295 |
450 | 296 |
451 | 297 |
452 | 298 |
453 | 299 |
454 | 300 |