Binary to Octal Number Converter

Binary ⇄ Octal Converter, work with steps, solved example problems and conversion table to learn, practice and verify binary to octal or octal to binary conversion involved in digital electronics & communications. Supply Binary input values and generate the step by step work for binary to octal conversion. Similarly, supply Octal input values and generate step by step work for octal to binary conversion.

Method for Binary to Octal Conversion

The numbers 0 and 1 are called binary number and represented by base-2 notations, whereas, the numbers 0, 1, 2, 3, 4, 5, 6, & 7 are called as octal numbers and represented by base-8 notations. The binary to octal conversion can be done by bits grouping method. Follow the below steps to learn and practice how to perform binary to octal conversion.

step 1: Separate the digits of a given binary number into groups from right to left side, each containing 4 bits.
step 2: Add 0's to the left, if the last group doesn't contain 3 digits.
step 3: Find the equivalent octal number for each group.
step 4: Write the all groups octal numbers together, maintaining the group order provides the equivalent octal number for the given binary.
Solved Example Problem
The below solved example problem may useful to understand how to perform binary to octal number conversion.

Problem
Convert binary number (111110011001)₂ to its octal equivalent

Method for Octal to Binary Conversion

This conversion can be done by finding the binary equivalent for an each digit of the octal number, combining them together in the same order. The below steps may useful to learn and practice how to perform octal to binary conversion.

step 1: Separate the digits of the given octal number, if it contains more than 1 digit.
step 2: Find the equivalent binary number for each digit of octal number. Add as many 0's to the left, if any of the binary equivalent is shorter than 3 bits.
step 4: Write the all group's binary numbers together, maintaining the same group order provides the equivalent binary for the given octal number.
Solved Example Problem
The below solved example problem may useful to understand how to perform octal to binary number conversion.

Problem
Convert the octal 7631₈ to its binary equivalent.

Number Conversion Table
The below is the conversion table for Decimal, Binary, Octal & Hex number systems.