Type an octal (base-8) number such as 755 to see its decimal value instantly, with each digit multiplied by its power of 8 shown step by step. Fractions and signed two's complement values work too.
Examples
Step-by-step conversion
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How to use the Octal to Decimal Converter
Type a octal number in the left box. The decimal result appears instantly.
Need the other direction? Type in the right box, or press ⇄ to swap.
Working with negative numbers? Choose a signed two's complement bit width.
Read the steps below the result to see exactly how the conversion works.
Copy the result with one click.
Octal to decimal formula
An octal number is a sum of powers of 8. Number the digits from the right starting at 0 and multiply each by 8 to the power of its position:
Each octal digit is exactly three bits, which is why octal is used for Unix permissions (read = 4, write = 2, execute = 1).
Octal
Binary
Permission
0
000
---
1
001
--x
2
010
-w-
3
011
-wx
4
100
r--
5
101
r-x
6
110
rw-
7
111
rwx
Decimal, octal, hex and binary table (0–511)
Every value up to octal 777. Use Ctrl+F to jump to a number.
Decimal
Octal
Hex
Binary
0
0
0
000000000
1
1
1
000000001
2
2
2
000000010
3
3
3
000000011
4
4
4
000000100
5
5
5
000000101
6
6
6
000000110
7
7
7
000000111
8
10
8
000001000
9
11
9
000001001
10
12
A
000001010
11
13
B
000001011
12
14
C
000001100
13
15
D
000001101
14
16
E
000001110
15
17
F
000001111
16
20
10
000010000
17
21
11
000010001
18
22
12
000010010
19
23
13
000010011
20
24
14
000010100
21
25
15
000010101
22
26
16
000010110
23
27
17
000010111
24
30
18
000011000
25
31
19
000011001
26
32
1A
000011010
27
33
1B
000011011
28
34
1C
000011100
29
35
1D
000011101
30
36
1E
000011110
31
37
1F
000011111
32
40
20
000100000
33
41
21
000100001
34
42
22
000100010
35
43
23
000100011
36
44
24
000100100
37
45
25
000100101
38
46
26
000100110
39
47
27
000100111
40
50
28
000101000
41
51
29
000101001
42
52
2A
000101010
43
53
2B
000101011
44
54
2C
000101100
45
55
2D
000101101
46
56
2E
000101110
47
57
2F
000101111
48
60
30
000110000
49
61
31
000110001
50
62
32
000110010
51
63
33
000110011
52
64
34
000110100
53
65
35
000110101
54
66
36
000110110
55
67
37
000110111
56
70
38
000111000
57
71
39
000111001
58
72
3A
000111010
59
73
3B
000111011
60
74
3C
000111100
61
75
3D
000111101
62
76
3E
000111110
63
77
3F
000111111
64
100
40
001000000
65
101
41
001000001
66
102
42
001000010
67
103
43
001000011
68
104
44
001000100
69
105
45
001000101
70
106
46
001000110
71
107
47
001000111
72
110
48
001001000
73
111
49
001001001
74
112
4A
001001010
75
113
4B
001001011
76
114
4C
001001100
77
115
4D
001001101
78
116
4E
001001110
79
117
4F
001001111
80
120
50
001010000
81
121
51
001010001
82
122
52
001010010
83
123
53
001010011
84
124
54
001010100
85
125
55
001010101
86
126
56
001010110
87
127
57
001010111
88
130
58
001011000
89
131
59
001011001
90
132
5A
001011010
91
133
5B
001011011
92
134
5C
001011100
93
135
5D
001011101
94
136
5E
001011110
95
137
5F
001011111
96
140
60
001100000
97
141
61
001100001
98
142
62
001100010
99
143
63
001100011
100
144
64
001100100
101
145
65
001100101
102
146
66
001100110
103
147
67
001100111
104
150
68
001101000
105
151
69
001101001
106
152
6A
001101010
107
153
6B
001101011
108
154
6C
001101100
109
155
6D
001101101
110
156
6E
001101110
111
157
6F
001101111
112
160
70
001110000
113
161
71
001110001
114
162
72
001110010
115
163
73
001110011
116
164
74
001110100
117
165
75
001110101
118
166
76
001110110
119
167
77
001110111
120
170
78
001111000
121
171
79
001111001
122
172
7A
001111010
123
173
7B
001111011
124
174
7C
001111100
125
175
7D
001111101
126
176
7E
001111110
127
177
7F
001111111
128
200
80
010000000
129
201
81
010000001
130
202
82
010000010
131
203
83
010000011
132
204
84
010000100
133
205
85
010000101
134
206
86
010000110
135
207
87
010000111
136
210
88
010001000
137
211
89
010001001
138
212
8A
010001010
139
213
8B
010001011
140
214
8C
010001100
141
215
8D
010001101
142
216
8E
010001110
143
217
8F
010001111
144
220
90
010010000
145
221
91
010010001
146
222
92
010010010
147
223
93
010010011
148
224
94
010010100
149
225
95
010010101
150
226
96
010010110
151
227
97
010010111
152
230
98
010011000
153
231
99
010011001
154
232
9A
010011010
155
233
9B
010011011
156
234
9C
010011100
157
235
9D
010011101
158
236
9E
010011110
159
237
9F
010011111
160
240
A0
010100000
161
241
A1
010100001
162
242
A2
010100010
163
243
A3
010100011
164
244
A4
010100100
165
245
A5
010100101
166
246
A6
010100110
167
247
A7
010100111
168
250
A8
010101000
169
251
A9
010101001
170
252
AA
010101010
171
253
AB
010101011
172
254
AC
010101100
173
255
AD
010101101
174
256
AE
010101110
175
257
AF
010101111
176
260
B0
010110000
177
261
B1
010110001
178
262
B2
010110010
179
263
B3
010110011
180
264
B4
010110100
181
265
B5
010110101
182
266
B6
010110110
183
267
B7
010110111
184
270
B8
010111000
185
271
B9
010111001
186
272
BA
010111010
187
273
BB
010111011
188
274
BC
010111100
189
275
BD
010111101
190
276
BE
010111110
191
277
BF
010111111
192
300
C0
011000000
193
301
C1
011000001
194
302
C2
011000010
195
303
C3
011000011
196
304
C4
011000100
197
305
C5
011000101
198
306
C6
011000110
199
307
C7
011000111
200
310
C8
011001000
201
311
C9
011001001
202
312
CA
011001010
203
313
CB
011001011
204
314
CC
011001100
205
315
CD
011001101
206
316
CE
011001110
207
317
CF
011001111
208
320
D0
011010000
209
321
D1
011010001
210
322
D2
011010010
211
323
D3
011010011
212
324
D4
011010100
213
325
D5
011010101
214
326
D6
011010110
215
327
D7
011010111
216
330
D8
011011000
217
331
D9
011011001
218
332
DA
011011010
219
333
DB
011011011
220
334
DC
011011100
221
335
DD
011011101
222
336
DE
011011110
223
337
DF
011011111
224
340
E0
011100000
225
341
E1
011100001
226
342
E2
011100010
227
343
E3
011100011
228
344
E4
011100100
229
345
E5
011100101
230
346
E6
011100110
231
347
E7
011100111
232
350
E8
011101000
233
351
E9
011101001
234
352
EA
011101010
235
353
EB
011101011
236
354
EC
011101100
237
355
ED
011101101
238
356
EE
011101110
239
357
EF
011101111
240
360
F0
011110000
241
361
F1
011110001
242
362
F2
011110010
243
363
F3
011110011
244
364
F4
011110100
245
365
F5
011110101
246
366
F6
011110110
247
367
F7
011110111
248
370
F8
011111000
249
371
F9
011111001
250
372
FA
011111010
251
373
FB
011111011
252
374
FC
011111100
253
375
FD
011111101
254
376
FE
011111110
255
377
FF
011111111
256
400
100
100000000
257
401
101
100000001
258
402
102
100000010
259
403
103
100000011
260
404
104
100000100
261
405
105
100000101
262
406
106
100000110
263
407
107
100000111
264
410
108
100001000
265
411
109
100001001
266
412
10A
100001010
267
413
10B
100001011
268
414
10C
100001100
269
415
10D
100001101
270
416
10E
100001110
271
417
10F
100001111
272
420
110
100010000
273
421
111
100010001
274
422
112
100010010
275
423
113
100010011
276
424
114
100010100
277
425
115
100010101
278
426
116
100010110
279
427
117
100010111
280
430
118
100011000
281
431
119
100011001
282
432
11A
100011010
283
433
11B
100011011
284
434
11C
100011100
285
435
11D
100011101
286
436
11E
100011110
287
437
11F
100011111
288
440
120
100100000
289
441
121
100100001
290
442
122
100100010
291
443
123
100100011
292
444
124
100100100
293
445
125
100100101
294
446
126
100100110
295
447
127
100100111
296
450
128
100101000
297
451
129
100101001
298
452
12A
100101010
299
453
12B
100101011
300
454
12C
100101100
301
455
12D
100101101
302
456
12E
100101110
303
457
12F
100101111
304
460
130
100110000
305
461
131
100110001
306
462
132
100110010
307
463
133
100110011
308
464
134
100110100
309
465
135
100110101
310
466
136
100110110
311
467
137
100110111
312
470
138
100111000
313
471
139
100111001
314
472
13A
100111010
315
473
13B
100111011
316
474
13C
100111100
317
475
13D
100111101
318
476
13E
100111110
319
477
13F
100111111
320
500
140
101000000
321
501
141
101000001
322
502
142
101000010
323
503
143
101000011
324
504
144
101000100
325
505
145
101000101
326
506
146
101000110
327
507
147
101000111
328
510
148
101001000
329
511
149
101001001
330
512
14A
101001010
331
513
14B
101001011
332
514
14C
101001100
333
515
14D
101001101
334
516
14E
101001110
335
517
14F
101001111
336
520
150
101010000
337
521
151
101010001
338
522
152
101010010
339
523
153
101010011
340
524
154
101010100
341
525
155
101010101
342
526
156
101010110
343
527
157
101010111
344
530
158
101011000
345
531
159
101011001
346
532
15A
101011010
347
533
15B
101011011
348
534
15C
101011100
349
535
15D
101011101
350
536
15E
101011110
351
537
15F
101011111
352
540
160
101100000
353
541
161
101100001
354
542
162
101100010
355
543
163
101100011
356
544
164
101100100
357
545
165
101100101
358
546
166
101100110
359
547
167
101100111
360
550
168
101101000
361
551
169
101101001
362
552
16A
101101010
363
553
16B
101101011
364
554
16C
101101100
365
555
16D
101101101
366
556
16E
101101110
367
557
16F
101101111
368
560
170
101110000
369
561
171
101110001
370
562
172
101110010
371
563
173
101110011
372
564
174
101110100
373
565
175
101110101
374
566
176
101110110
375
567
177
101110111
376
570
178
101111000
377
571
179
101111001
378
572
17A
101111010
379
573
17B
101111011
380
574
17C
101111100
381
575
17D
101111101
382
576
17E
101111110
383
577
17F
101111111
384
600
180
110000000
385
601
181
110000001
386
602
182
110000010
387
603
183
110000011
388
604
184
110000100
389
605
185
110000101
390
606
186
110000110
391
607
187
110000111
392
610
188
110001000
393
611
189
110001001
394
612
18A
110001010
395
613
18B
110001011
396
614
18C
110001100
397
615
18D
110001101
398
616
18E
110001110
399
617
18F
110001111
400
620
190
110010000
401
621
191
110010001
402
622
192
110010010
403
623
193
110010011
404
624
194
110010100
405
625
195
110010101
406
626
196
110010110
407
627
197
110010111
408
630
198
110011000
409
631
199
110011001
410
632
19A
110011010
411
633
19B
110011011
412
634
19C
110011100
413
635
19D
110011101
414
636
19E
110011110
415
637
19F
110011111
416
640
1A0
110100000
417
641
1A1
110100001
418
642
1A2
110100010
419
643
1A3
110100011
420
644
1A4
110100100
421
645
1A5
110100101
422
646
1A6
110100110
423
647
1A7
110100111
424
650
1A8
110101000
425
651
1A9
110101001
426
652
1AA
110101010
427
653
1AB
110101011
428
654
1AC
110101100
429
655
1AD
110101101
430
656
1AE
110101110
431
657
1AF
110101111
432
660
1B0
110110000
433
661
1B1
110110001
434
662
1B2
110110010
435
663
1B3
110110011
436
664
1B4
110110100
437
665
1B5
110110101
438
666
1B6
110110110
439
667
1B7
110110111
440
670
1B8
110111000
441
671
1B9
110111001
442
672
1BA
110111010
443
673
1BB
110111011
444
674
1BC
110111100
445
675
1BD
110111101
446
676
1BE
110111110
447
677
1BF
110111111
448
700
1C0
111000000
449
701
1C1
111000001
450
702
1C2
111000010
451
703
1C3
111000011
452
704
1C4
111000100
453
705
1C5
111000101
454
706
1C6
111000110
455
707
1C7
111000111
456
710
1C8
111001000
457
711
1C9
111001001
458
712
1CA
111001010
459
713
1CB
111001011
460
714
1CC
111001100
461
715
1CD
111001101
462
716
1CE
111001110
463
717
1CF
111001111
464
720
1D0
111010000
465
721
1D1
111010001
466
722
1D2
111010010
467
723
1D3
111010011
468
724
1D4
111010100
469
725
1D5
111010101
470
726
1D6
111010110
471
727
1D7
111010111
472
730
1D8
111011000
473
731
1D9
111011001
474
732
1DA
111011010
475
733
1DB
111011011
476
734
1DC
111011100
477
735
1DD
111011101
478
736
1DE
111011110
479
737
1DF
111011111
480
740
1E0
111100000
481
741
1E1
111100001
482
742
1E2
111100010
483
743
1E3
111100011
484
744
1E4
111100100
485
745
1E5
111100101
486
746
1E6
111100110
487
747
1E7
111100111
488
750
1E8
111101000
489
751
1E9
111101001
490
752
1EA
111101010
491
753
1EB
111101011
492
754
1EC
111101100
493
755
1ED
111101101
494
756
1EE
111101110
495
757
1EF
111101111
496
760
1F0
111110000
497
761
1F1
111110001
498
762
1F2
111110010
499
763
1F3
111110011
500
764
1F4
111110100
501
765
1F5
111110101
502
766
1F6
111110110
503
767
1F7
111110111
504
770
1F8
111111000
505
771
1F9
111111001
506
772
1FA
111111010
507
773
1FB
111111011
508
774
1FC
111111100
509
775
1FD
111111101
510
776
1FE
111111110
511
777
1FF
111111111
Frequently asked questions
How do you convert octal to decimal?
Multiply each octal digit by 8 raised to its position, counting from 0 on the right, and add the results. For 755: 7×64 + 5×8 + 5×1 = 448 + 40 + 5 = 493.
What is 777 in decimal?
Octal 777 is 511: 7×64 + 7×8 + 7 = 448 + 56 + 7. It is also the Unix permission "rwxrwxrwx".
Which digits can an octal number use?
Only 0 to 7. An 8 or 9 means the number is not octal, and the converter shows an error.
Where is octal used?
Mostly for Unix and Linux file permissions (chmod 755, 644), in some older computers and in programming escape sequences such as \101 for "A".
Does it accept the 0o prefix?
Yes. Prefixes like 0o (Python, JavaScript) and spaces or underscores between digits are ignored.
Can it convert huge octal numbers?
Yes. It uses BigInt arithmetic, so any length converts exactly.