# 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 #

## 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

How does the Decimal to Octal Converter tool function?

By entering a Decimal value, the tool generates the corresponding Octal representation, making numeric transformations straightforward.