Decimal to Octal Converter

Convert decimal values to octal format by entering a decimal number and clicking convert.

Information on Number Conversion

A number system is a method of expressing numbers in a consistent manner using digits and numbers. There are different number system like, Decimal, Binary, Octal, Hexadecimal. These different number systems are used in different contexts.

Decimal Number System

Decimal number system is the most commonly used number system. It is a base 10 number system. It uses 10 digits from 0 to 9. The position of each digit in a decimal number denotes the power of 10. The rightmost digit is the ones place, the next digit to the left is the tens place, the next digit to the left is the hundreds place, and so on.

An example of a decimal number is
1234₁₀ = 1×10³ + 2×10² + 3×10¹ + 4×10⁰

Octal Number System

Octal number system is a base 8 number system. It uses 8 digits from 0 to 7. The position of each digit in an octal number denotes the power of 8. The rightmost digit is the ones place, the next digit to the left is the eights place, the next digit to the left is the sixty-fours place, and so on.

An example of an octal number is
1234₈ = 1×8³ + 2×8² + 3×8¹ + 4×8⁰

How to convert Decimal to Octal?

To convert a decimal number to octal, you can use the following steps:

Step 1: Write down the decimal number.

Step 2: Divide the decimal number by 8.

Step 3: Write down the remainder (in octal) and quotient.

Step 4: Repeat steps 2 and 3 with the quotient until the quotient is 0.

Example 1: Convert 1234₁₀ to (?)₈

Step 1: Write down the decimal number: 1234₁₀

Step 2-3: Make a table of the division of 1234 by 8:

Division by 8	Quotent	Remainder	Bit
\frac{1234}{8}	154	2	0
\frac{154}{8}	19	2	1
\frac{19}{8}	2	3	2
\frac{2}{8}	0	2	3
The octal Representation of (1234)₁₀ is (2322)₈

Example 2: Convert 123456₁₀ to (?)₈

Step 1: Write down the decimal number: 123456₁₀

Step 2-3: Make a table of the division of 123456 by 8:

Division by 8	Quotent	Remainder	Bit
\frac{123456}{8}	15432	0	0
\frac{15432}{8}	1929	0	1
\frac{1929}{8}	241	1	2
\frac{241}{8}	30	1	3
\frac{30}{8}	3	6	4
\frac{3}{8}	0	3	5
The octal Representation of (123456)₁₀ is (361110)₈

Decimal to Octal Conversion Table

The following table shows the common decimal numbers equivalent octal numbers:

Decimal	Octal
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