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Explain with example procedure to convert octal number to binary number.
Ans.
- Write the octal number out with the digits separated. For example, if the number is 617, write 6 1 7.
- Divide each digit by 4, 2 and 1, and write down the results. In our example we would first divide 6 by 4 = 1, leaving 2. Then 2 by 2 = 1, leaving 0, then 0 by 1 = 0. So we write a 110 under the 6. Then 1 by 4 = 0, leaving 1, then 1 by 1 = 0, leaving 1, and 1 by 1 = 1. So write 001 under the 1. Finally, 7 by 4 = 1, leaving 3, then 3 by 2 = 1, leaving 1, and 1 by 1 = 1. So under the 7 write 111. We then have
| 6 | 1 | 7 |
| 110 | 001 | 111 |
- Put all the numbers together, remove any initial 0’s and that is the number in binary. Thus 617 octal = 110001111 binary.
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