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Decimal to Octal Converter

From Binary Decimal Octal Hexadecimal Text

To Binary Decimal Octal Hexadecimal Text

Enter decimal number

₁₀

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Octal number

₈

Hex number

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 #

Octal to Decimal converter ►

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

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See also

• Octal to Decimal converter
• Decimal to Binary converter
• Decimal to Hex converter
• Decimal to Fraction converter
• Decimal to Percent converter
• Numeral systems
• Conversion

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