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# Explain with example procedure to convert octal number to binary number

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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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