Question
Download Solution PDFThe binary equivalent of the octal number 456 is _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFOctal to Binary Conversion:
- Every octal number is represented by a 3-bit binary equivalent.
- The table of binary representation for octal numbers (0 to 7) is given below:
| Octal | 3 bit binary |
| 0 | 000 |
| 1 | 001 |
| 2 | 010 |
| 3 | 011 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
Explanation:
- From the above table, the binary equivalent of 6 is 110.
- The binary equivalent of 5 is 101.
- The binary equivalent of 4 is 100.
Hence, the binary equivalent of the octal number 456 is 100101110
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