Octal to Binary

Use our octal to binary converter to convert a base 8 number to base 2 along with the steps and formulas used in the conversion.

Octal to Binary

In mathematics, there are different number systems to write numbers, say binary number system (base 2), octal number system (base 8), decimal (base 10), and hexadecimal number system (base 16). Octal to binary conversion is defined as converting a number from base-8 to base-2. It can be done in two ways that you will learn in this article. Let us move ahead and learn the conversion of octal to binary.

What is Octal to Binary Conversion?

Before learning about octal to binary conversion, let us quickly go through the meanings of the octal number system and binary number system. The binary number system uses only two digits 0 and 1 to represent numbers. It is also known as the base-2 system. It is used with the computer system in which 0 and 1 digits are used to write various scripts. Each digit i.e. either 0 or 1 is referred to as a bit in the binary system. For example, (01101)₂, (01000010)₂, (11000101)₂ are a few binary numbers. On the other hand, the octal number system includes digits from 0 to 7. Other digits like 8 and 9 are not included in this system. It is also known as the base-8 system. Just as the binary, the octal number system is used in minicomputers. For example, (73)₈, (151)₈, (35)₈ are a few octal numbers.

Conversion of octal to binary is defined as converting a number from base-8 to base-2 by using either direct or indirect methods. All the digits in an octal number are from the range of 0 to 7, while all the digits in a binary number include only 0 and 1. Let us observe the octal to binary table given in the next section.

Octal to Binary Table

Observe the octal to binary table given below which will help you to convert octal numbers to binary numbers. The octal to binary table shows the equivalent number of each octal digit to binary, for example, 0 in octal is equivalent to 000 in binary, 1 in octal is equivalent to 001 in binary, 2₈ is the same as 010₂, and so on.

☛Also Check: How to Convert from Octal to Binary  manually?