How to use the OCT2HEX Function in Excel

In this article, we will learn about how to use the OCT2HEX function in Excel.

OCT2HEX function in excel is used to convert octal representation of numbers of radix 8 to hexadecimal numbers (radix = 2).

The table shown below shows you some of the most used base & their radix of Alpha - numeric characters

Base radix Alpha-Numeric Characters
binary 2 0 - 1
Octal 8 0 - 7
Decimal 10 0 - 9
hexadecimal 16 0 - 9 & A - F
hexatridecimal 36 0 - 9 & A - Z

octal number representation have 8 digits from 0, 1, 2, 3, 4, 5, 6, 7 and where hexadecimal number is representation of a number of radix 16. 10 digits starting from 0, 1, 2, 3, 4, 5, 6, 7, 8 ,9 along with 6 alphabets starting from A, B, C, D, E & F. The below table will help you understand better.

Octal Decimal hexadecimal
0 0 0
1 1 1
2 2 2
3 3 3
4 4 4
5 5 5
6 6 6
7 7 7
10 8 8
11 9 9
12 10 A
13 11 B
14 12 C
15 13 D
16 14 E
17 15 F

Conversion formulation is in two steps. First the number be converted to binary and then binary number is converted to get the hexadecimal value.

Let’s take an example

543 is converted to binary number

  1. Separate the digits
  2. Write their hexadecimal conversion upto 3 digit place by adding zeros to the left of the hexadecimal number
  3. Combine all the converted hexadecimal to get the hexadecimal number.
5 4 3
101 100 11
101 100 011
543 ( octal ) = 101 100 011( binary)

101100011 is converted to hexadecimal

  1. Make the set of 4 digits starting from the last.
  2. Complete the last set by adding zeros in the front of the value.
  3. Now convert all the set value to hexadecimal and combine them to get the whole value.
101100011
0001 0110 0011
1 6 3
543 ( octal ) = 163 ( hexadecimal)

The OCT2HEX function converts the octal number of radix 8 to the hexadecimal number of radix 2.
Syntax:

=OCT2HEX ( number, [places] )

Number : Octal number which returns the 10 character hexadecimal number.
[Places] : [optional] number where result expressed upto the number.

The input value to the function cannot contain more than 10 characters ( 10 bits ). Where first number returns the sign of the number (positive or negative) & Other 9 returns the value after the sign. ( 1 for negative & 0 for positive).

To get a negative number, input number must have 10 characters starting with 1 as it represents the negative sign. The negative number is calculated using two's complement notation. Any less than 10 characters, the function considers default 0s in front. Any more than 10 characters, the function returns the #NUM! Error.

Now let’s get more understanding of the function via using them in some examples.

Here we have some octal values in Octal Column. We need to convert these octal numbers to hexadecimal value.

Use the formula in octal column:

=OCT2HEX (A2)

A2 : number provided to the function as cell reference

Values to the OCT2HEX function is provided as cell reference.

The OCT2HEX representation of 2 of base 8 (hexadecimal) is 10 of base 2 (decimal).
Now copy the formula to other cells using the Ctrl + D shortcut key.

As you can see here the OCT2HEX function returns the result of the input values.

Notes:

  1. Numbers can be given as argument to the function directly without quotes or cell reference in excel.
  2. The function doesn’t consider the [places] number in case of a negative number, it just returns the 10 digit hexadecimal number.
  3. The function can take a maximum of 10 digit value.
  4. If the input [places] number is not an integer, it is truncated by the function.
  5. The function returns the #NUM! Error
    1. If the input octal number has more than 10 digit number.
    2. If the input number is not a valid octal number.
    3. If the input number [places] is zero or negative.
    4. If the input number [places] is not sufficient for the resulting positive hexadecimal number.
  6. The function returns the #VALUE! Error
    1. If the input number is text or non-numeric.
    2. If the input [places] number is text or non-numeric.

Hope you understood how to use OCT2HEX function and referring cell in Excel. Explore more articles on Excel mathematical conversion functions here. Please feel free to state your query or feedback for the above article.

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