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The Excel OCT2HEX Function

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Octal

The Octal (Base 8) Numeral System uses the digits 0-7.

The following table shows the first 16 octal values, along with the equivalent decimal values:

Octal 1 2 3 4 5 6 7 10
Decimal 1 2 3 4 5 6 7 8
 
Octal 11 12 13 14 15 16 17 20
Decimal 9 10 11 12 13 14 15 16

For further information on the octal numeral system, see the Wikipedia Octal Page


Hexadecimal

The Hexadecimal (Base 16) Numeral System uses the digits 0-9 and the characters a-f.

The following table shows the first 32 hexadecimal values, along with the equivalent decimal values:

Hexadecimal 1 2 3 4 5 6 7 8 9 a b c d e f 10
Decimal 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
 
Hexadecimal 11 12 13 14 15 16 17 18 19 1a 1b 1c 1d 1e 1f 20
Decimal 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

For further information on the hexadecimal numeral system, see the Wikipedia Hexadecimal Page


Basic Description

Hexadecimal (base 16), decimal (base 10), octal (base 8), and binary (base 2) are the most commonly used numeral systems in engineering and computing. Therefore, Excel has provided functions to convert numeric values to and from each of these systems.

The Excel Oct2Hex function converts an Octal (Base 8) number into a Hexadecimal (Base 16) number.

The format of the function is :

OCT2HEX( Number, [Places] )

Where :

- The Number argument is the octal number that is to be converted to hexadecimal
and
- The [Places] argument is an optional argument, which specifies the number of characters that you want the returned hexadecimal number to have. If this is greater than the minimum, the hexadecimal number will be padded out using leading zeros.
If omitted, the returned hexadecimal uses the minimum number of places.

Note that the Number argument must be no more than 10 characters (40 bits) long. The most significant bit of this value denotes the sign of the number and the remaining 39 bits denote the magnitude. Negative numbers are represented using two's complement notation.


Examples

The following spreadsheet shows examples of the Excel Oct2Hex function. The format of the function is shown in the spreadsheet on the left and the result is shown in the spreadsheet on the right.

 Formulas
  A
1 =OCT2HEX( "10" )
2 =OCT2HEX( "0000000007" )
3 =OCT2HEX( "10", 10 )
4 =OCT2HEX( "7777777770" )
5 =OCT2HEX( "763" )
 Results
  A
1 8
2 7
3 0000000008
4 FFFFFFFFF8
5 1F3


Note that, in the above example spreadsheet, the negative octal and hexadecimal numbers in cell A4 are represented by two's complement notation.


Further information and examples of the Excel Oct2Hex function can be found on the Microsoft Office website.


Common Errors

If you get an error from your Excel Oct2Hex function this is likely to be one of the following :

#VALUE! - Occurs if the supplied Places argument is not recognised as a number
#NUM! - Occurs if either:
- the supplied Number argument is not recognised as an octal number or contains more than 10 characters
or
- the resulting hexadecimal number requires more places than is specified by the supplied Places argument
or
- the supplied Places argument ≤ 0
#NAME? -

Occurs when Analysis ToolPak add-in is not enabled in your Excel.
You will need to enable the add-in if you want to use the Excel engineering functions.

To do this in Excel 2003 :

  • From the Tools drop-down menu, select the option Add-Ins ...
  • An 'Add-Ins' window will pop up. From this, select the option Analysis ToolPak and click OK

To do this in Excel 2007 :

  • Click the Microsoft button on the top left of your spreadsheet and select the Excel Options button
  • From the menu on the left hand side, select Add-Ins
  • In the 'Manage:' box, select Excel Add-ins and click Go...
  • An 'Add-Ins' window will pop up. From this, select the option Analysis ToolPak and click OK






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