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The number 0 & 1s are called binary number and represented by base2 notations, whereas, the numbers 0, 1, 2, 3, 4, 5, 6, & 7 are called as octal numbers and represented by base8 notations. The binary to octal conversion can be done by grouping of bits method. Follow the below steps to perform such conversions manually.
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
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 know how to perform octal to binary number 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 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 7631_{8} to its binary equivalent.
Number Conversion Table
The below is the conversion table for Decimal, Binary, Octal & Hex number systems.
Decimal  Binary  Octal  Hex 

0  0000  0  0 
1  0001  1  1 
2  0010  2  2 
3  0011  3  3 
4  0100  4  4 
5  0101  5  5 
6  0110  6  6 
7  0111  7  7 
8  1000  10  8 
9  1001  11  9 
10  1010  12  A 
11  1011  13  B 
12  1100  14  C 
13  1101  15  D 
14  1110  16  E 
15  1111  17  F 
In digital electronics & communications, the conversion between different number systems play vital role to perform various operations. The above solved example & number conversion table may useful to understand how to perform binary  octal calculations, however, when it comes to online, this binary  octal converter may useful to perform such computations as easy & quick as possible.