Binary to Octal Conversion in DLD Digital logic design
By: Prof. Dr. Fazal Rehman | Last updated: March 3, 2022
Binary to Octal Conversion
The Binary string is divided into small sub-groups of 3-bits and it is started from the least significant bit.
After this, needs to identify the each 3 bit binary group.
At last, each 3-bit binary group is simply replaced by its Octal equivalent number.
Example 1:Problem:How to convert this 111010110101110010110 binary number into its octal equivalent?Solution:Step 1: Dividing all the bits into groups of 3-bits
101 010 110 101 110 110 110
Step 2: Replace each group with a number by its Octal equivalent.
101 010 110 101 110 110 110
5 2 6 5 6 6 6
Note: Binary strings which can not be divided into equal number of 3- bit groups are supposed to have 0’s in the left of the bits.Example 2:Problem:How to convert this 1101100010110 binary number into its octal equivalent?Solution:Step 1: Dividing all the bits into groups of 3-bits
110 110 001 011 0
Step 2: Replace each group with a number by its Octal equivalent.
