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Octal to Binary Conversion
Octal to Binary Conversion
We can also use the mapping method to convert an octal number into its equivalent binary number. In this method, we just replace each digital of the given octal number by its 3-bit binary equivalent.
Lets understand the conversion of octal number to binary equivalent with the help of examples.
Example 1
Convert (3572.126)8 to binary equivalent.
Solution
The given octal number is converted into binary equivalent as follows −
| Octal Number | 3 | 5 | 7 | 2 | . | 1 | 2 | 6 |
| 3-bit Binary Equivalent | 011 | 101 | 111 | 010 | . | 001 | 010 | 110 |
Hence, the binary equivalent of (3572.126)8 is (011101111010.001010110)2.
Example 2
Convert (364.52)8 to its binary equivalent.
Solution
The conversion of given octal number to its equivalent binary number is given below −
| Octal Number | 3 | 6 | 4 | . | 5 | 2 |
| 3-bit Binary Equivalent | 011 | 110 | 100 | . | 101 | 010 |
Thus, the binary equivalent of the octal number (364.52)8 is (011110100.101010)2.
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