Decimal to Octal Converter

10
8
16

Decimal to octal calculation steps

Divide by the base 8 to get the digits from the remainders:

Division
by 8
Quotient

Remainder

(Digit)
Digit #

* You can enter decimals with e notation. e.g: 572 = 5.72e2.

Octal to Decimal converter ►

Decimal

Decimal number is a number expressed in the base 10 numeral system. Decimal number's digits have 10 symbols: 0,1,2,3,4,5,6,7,8,9. Each digit of a decimal number counts a power of 10.

Decimal number example:
65310 = 6×102+5×101+3×100

Octal

Octal number is a number expressed in the base 8 numeral system. Octal number's digits have 8 symbols: 0,1,2,3,4,5,6,7. Each digit of an octal number counts a power of 16.

Octal number example:
6278 = 6×82+2×81+7×80 = 158010

How to convert from decimal to octal

Conversion steps:

  1. Divide the number by 8.
  2. Get the integer quotient for the next iteration.
  3. Get the remainder for the octal digit.
  4. Repeat the steps until the quotient is equal to 0.

Example #1

Convert 756210 to octal:

Division
by 8
Quotient
(integer)
Remainder
(decimal)
Remainder
(octal)
Digit #
7562/8 945 2 2 0
945/8 118 1 1 1
118/8 14 6 6 2
14/8 1 6 6 3
1/8 0 1 1 4

So 756210 = 166128

Example #2

Convert 3563110 to octal:

Division
by 8
Quotient Remainder
(decimal)
Remainder
(octal)
Digit #
35631/8 4453 7 7 0
4453/8 556 5 5 1
556/8 69 4 4 2
69/8 8 5 5 3
8/8 1 0 0 4
1/8 0 1 1 5

So 3563110 = 1054578

Decimal to octal conversion table

Decimal

base 10

Octal

base 8

0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 10
9 11
10 12
11 13
12 14
13 15
14 16
15 17
16 20
17 21
18 22
19 23
20 24
21 25
22 26
23 27
24 30
25 31
26 32
27 33
28 34
29 35
30 36
40 50
50 62
60 74
70 106
80 120
90 132
100 144
200 310
1000 1750
2000 3720


See also

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