Octal to Binary Converter

Octal to binary converter is an online tool used to convert octal values to binary numbers. You’ve to enter the octal number, and this tool will give you results quickly.

The octal number system is a base eight numeral system, meaning it uses eight distinct symbols (0-7) to represent numbers. This system is often used in computer science and digital electronics. 

It is represented as X₈, for example:

• 17₈ 
• 26₈
• 176₈

The binary number system, a base two-numeral system, uses only two symbols, 0 and 1, to represent numbers. This simplicity is the foundation of all digital systems, making it an essential concept to comprehend. 

It is represented as X₂, for example:

• 101₂ 
• 111₂
• 10110₂

This conversion can be done easily with our octal-to-binary converter. Below are a few steps to manually convert octal to binary.

Step 1: Take an octal number.

Step 2: Convert the octal to decimal.

Step 3: Convert decimal to binary.

Let's take an example to understand it better.

Example:

Convert (346)₈ to a binary number.

Solution

Step 1: Convert the given octal value to decimal.

(346)₈ = (3 * 8²) + (4 * 8¹) + (6 * 8⁰)

(346)₈ = (3 * 64) + (4 * 8) + (6 * 1)

(346)₈ = (192) + (32) + (6)

(346)₈ = (230)₁₀

Step 2: Now, convert the above decimal value to binary.

Divided by	Quotient	Remainder
2	230
2	115	0
2	57	1
2	28	1
2	14	0
2	7	0
2	3	1
	1	1

Note: You can also convert binary to octal using our Binary to Octal Converter.