BITXOR function

This article describes the formula syntax and usage of the BITXOR function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.

Description

Returns a bitwise 'XOR' of two numbers.

Syntax

BITXOR(number1, number2)

The BITXOR function syntax has the following arguments.

  • Number1    Required. Must be greater than or equal to 0.
  • Number2    Required. Must be greater than or equal to 0.

Remarks

  • BITXOR returns a decimal number that is the result of the sum of a bitwise 'XOR' (exclusive XOR) of its parameters.
  • If either argument is outside its constraint, BITXOR returns the #NUM! error value.
  • If either argument is greater than (2^48)-1, BITXOR returns the #NUM! error value.
  • If either argument is a non-numeric value, BITXOR returns the #VALUE! error value.
  • In the result, each bit position is 1 if the values of the parameters at that bit position are not equal; in other words, one value is 0 and the other is 1. For example, using BITXOR(5,3), 5 is expressed as 101 in binary and 3 as 11 in binary. To help with comparison, you can consider 3 as 011. From right to left, the bit values at the three positions in this example are the same (1) only at the rightmost position. A 'not equal' result returns a 1 for the second and third positions from the right, and an ‘equal’ result returns 0 for the rightmost position.
  • Values of 1 returned from the bit positions progress from right to left as powers of 2. The rightmost bit returns 1 (2^0), the bit to the left returns 2 (2^1), and so on.
  • Using the same example, 0 is returned for the rightmost bit position because it is a 0, 2 (2^1) is returned for the second bit position from the right (a 1 value), and 4 (2^2) is returned for the leftmost bit (also a 1 value). The total is 6, in decimal representation.

Example

The workbook below shows examples of this function. Inspect them, change existing formulas, or enter your own formulas to learn how the function works.

To work more in-depth with the example data in Excel, download the embedded workbook to your computer, and then open it in Excel.

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Applies to:
Excel 2013, Excel Online