Octal to Binary Converter

Convert octal values to binary by inputting an octal number and pressing 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.

Binary Number System

Binary number system is a base 2 number system. It uses only two digits, 0 and 1. The position of each digit in a binary number denotes the power of 2. The rightmost digit is the ones place, the next digit to the left is the twos place, the next digit to the left is the fours place, and so on.

An example of a binary number is
1011₂ = 1×2³ + 0×2² + 1×2¹ + 1×2⁰

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

Octal to Binary Conversion table

The table below shows the octal to binary conversion.

Binary	Octal
000	0
001	1
010	2
011	3
100	4
101	5
110	6
111	7

How to convert Octal to Binary?

To convert an octal number to binary, you can use the following steps:

Step 1: Write down the octal number.

Step 2: Write down the binary equivalent of each octal digit.

Example 1: Convert 2322₈ to (?)₂

Step 1: Write down the octal number: 2322₈

Step 2: Write down the binary equivalent of each octal digit: 2 3 2 2

Therefore, 2322₈ = 10011010010₂

Elaborate Table

Octal	2 3 2 2
Binary	010 011 010 010
Result	010011010010
The binary Representation of (2322)₈ is (010011010010)₂

Example 2: Convert 361100₈ to (?)₂

Step 1: Write down the octal number: 361100₈

Step 2: Write down the binary equivalent of each octal digit: 3 6 1 1 0 0

Therefore, 361100₈ = 11110001001000000₂