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A to Z of Excel Functions: The DEC2OCT Function

25 June 2018

Welcome back to our regular A to Z of Excel Functions blog.  Today we look at the DEC2OCT function.

The DEC2OCT function

This function converts a decimal number (base 10) to octal (base 8).

The DEC2OCT function employs the following syntax to operate:

DEC2OCT(number, [places])

The DEC2OCT function has the following arguments:

  • number: this is required and represents the decimal integer you want to convert. If number is negative, places is ignored and DEC2OCT returns a 10-character (30-bit) octal number in which the most significant bit is the sign bit. The remaining 29 bits are magnitude bits. Negative numbers are represented using two's-complement notation
  • places: this argument is optional. This is the number of characters to use. If places is omitted, DEC2OCT uses the minimum number of characters necessary. The argument places is useful for padding the return value with leading 0s (zeros).

Two's complement is a mathematical operation on binary numbers, as well as a binary signed number representation based on this operation. The two's complement of an N-bit number is defined as the complement with respect to 2N; in other words, it is the result of subtracting the number from 2N. This is also equivalent to taking the ones' complement and then adding one, since the sum of a number and its ones' complement is all 1 bits. The two's complement of a number behaves like the negative of the original number in most arithmetic, and positive and negative numbers can coexist in a natural way.

It should be further noted that:

  • if number < -536,870,912 or if number > 536,870,911, DEC2OCT returns the #NUM! error value
  • if number is nonnumeric, DEC2OCT returns the #VALUE! error value
  • if DEC2OCT requires more than places characters, it returns the #NUM! error value
  • if places is not an integer, it is truncated
  • if places is nonnumeric, DEC2OCT returns the #VALUE! error value
  • if places is negative, DEC2OCT returns the #NUM! error value.

Please see my example below:

We’ll continue our A to Z of Excel Functions soon. Keep checking back – there’s a new blog post every business day.

A full page of the function articles can be found here.