# Decimal number to Octal number Conversion Method Made Simple

Today you’ll learn the method to convert a decimal number to octal number.

Remember that decimal number has base 10 whereas octal number has base 8.

## Steps to Convert Decimal Number to Octal numbers

1. Divide the decimal number by 8.
2. Collect the remainder
3. Repeat the step 1 until the dividend is less than 0.

### Example of Conversion

Convert the decimal number 1054 to octal.

Solution:

1054 / 8 = 131 – Remainder is 6

131 / 8 = 16 – Remainder is 3

16 / 8 = 2 – Remainder is 0

Finally (1054)10 = (2036)8

The figure below clearly illustrates this:

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Given below are the solutions for various Dec numbers and their equivalent Oct.

Decimal Numbers Octal Equivalent
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 10
9 11
10 12
15 17
20 24
25 31
30 36
35 43
40 50
45 55
50 62
55 67
60 74
65 101
70 106
75 113
80 120
85 125
90 132
95 137
100 144
105 151
110 156
115 163
120 170
125 175
130 202
135 207
140 214
145 221
150 226
155 233
160 240
165 245
170 252
175 257
180 264
185 271
190 276
195 303
200 310
205 315
210 322
215 327
220 334
225 341
230 346
235 353
240 360
245 365
250 372
255 377
260 404
265 411
270 416
275 423
280 430
285 435
290 442
295 447
300 454
305 461
310 466
315 473
320 500
325 505
330 512
335 517
340 524
345 531
350 536
355 543
360 550
365 555
370 562
375 567
380 574
385 601
390 606
395 613
400 620
405 625
410 632
415 637
420 644
425 651
430 656
435 663
440 670
445 675
450 702
455 707
460 714
465 721
470 726
475 733
480 740
485 745
490 752
495 757
500 764