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.
- 001 101 100 010 110
- 1 5 4 2 6
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I welcome to all of you if you want to discuss about any topic. Researchers, teachers and students are allowed to use the content for non commercial offline purpose. Further, You must use the reference of the website, if you want to use the partial content for research purpose.
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