Decimal to Octal converter
Simplify the process of converting decimal numbers to octal format with our efficient Decimal to Octal Converter. This tool allows you to effortlessly convert any decimal value into its equivalent octal representation. Just input the decimal number, and our converter will instantly generate the octal form, showcasing the digits 07 that make up the octal
What is Decimal to Octal converter
A Decimal to Octal converter is a tool or program that helps convert decimal numbers into their equivalent octal representation. Decimal numbers are numbers expressed in the base10 numeral system, while octal numbers are numbers expressed in the base8 numeral system, using digits from 0 to 7.
To use a Decimal to Octal converter, you input a decimal number, and it provides you with the octal representation of that number.
Here's an example:
Let's say you have the decimal number 23. To convert it to octal, you would perform the following steps:

Divide the decimal number by 8. 23 ÷ 8 = 2, Remainder = 7

Divide the quotient from step one (2) by 8 again. 2 ÷ 8 = 0, Remainder = 2
Now, write down the remainders from the last step to the first step: 27
So, the decimal number 23 is equivalent to 27 in octal representation.
There are various online tools, calculators, or programming functions available that offer Decimal to Octal conversion capabilities, making it convenient to perform these conversions quickly and accurately.
How to convert from decimal to octal
Conversion steps:
 Divide the number by 8.
 Get the integer quotient for the next iteration.
 Get the remainder for the octal digit.
 Repeat the steps until the quotient is equal to 0.
Example #1
Convert 7562_{10} 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 7562_{10} = 16612_{8}
Example #2
Convert 35631_{10} 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 35631_{10} = 105457_{8}
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 