# The Excel HEX2DEC Function

Related Function:
Dec2Hex Function

## Function Description

The Excel Hex2Dec function converts a hexadecimal (a base-16 number) into a decimal number.

The syntax of the function is:

HEX2DEC( number )

Where the number argument is the hexadecimal number that is to be converted to a decimal.

Note that the supplied number argument must not be 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.

It should also be noted that, as hexadecimals use the numbers 0-9 and the characters a-f, they should be enclosed in quotation marks when they are supplied to an Excel function. (e.g. The hexadecimal 11a should be input as "11a").

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 11 12 13 14 15 16 17 18 19 1a 1b 1c 1d 1e 1f 20 Decimal 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 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

## Hex2Dec Function Examples

The following spreadsheets show five examples of the Excel Hex2Dec function.

Formulas:
A
1=HEX2DEC( "A" )
2=HEX2DEC( "1F" )
3=HEX2DEC( "0000000010" )
4=HEX2DEC( "FFFFFFFFF0" )
5=HEX2DEC( "111" )
Results:
AB
110
231  Result is   1*16 + 15
316  Result is   1*16 + 0
4-16  Result is   -16^9 + 15*16^8 + 15*16^7 + ... + 15*16 + 0
5273  Result is   1*16^2 + 1*16 + 1

Note that, in the above example spreadsheet, the negative hexidecimal in cell A4 uses two's complement notation.

Further details and examples of the Excel Hex2Dec function are provided on the Microsoft Office website.

## Hex2Dec Function Error

If you get an error from the Excel Hex2Dec function this is likely to be the #NUM! error:

Common Error
 #NUM! - Occurs if the supplied number argument is not recognised as a hexadecimal number, or contains more than 10 characters.