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Decimal to octal number conversion

Here you see step by step process of decimal to octal number conversion. We have to follow some steps one by one those are

  • We have to divide the decimal number by 8 repeatedly, until the quotient of zero is obtained.

  • The remainders are noted down for each of the division steps.

  • Then the column of the remainder is read in reverse order. That means we have to count those reminder from bottom to top.

In bellow I give you an example to show the process.

Let we have to convert 25010 in octal. We know the base of octal number system is 8. So we have to divide the decimal number by 8.

Decimal to octal number conversion

So the equivalent number 25010 = 3728

So I think the above example will clear the process of decimal to octal number conversion.

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Hi myself Subham Dutta, having 15+ years experience in filed of Engineering. I love to teach and try to build foundation of students. Try to make them imagine what they learn.

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