## What is BITXOR Function in Excel?

The **BITXOR **function is one of the ** Engineering** functions of Excel.

It Returns a **bitwise **‘Exclusive or’ of **two **numbers.

We can find this function in **Engineering **of insert function Tab.

## How to use BITXOR function in excel

- Click on
**empty cell**(like F5).

2. Click on the** fx icon** (or press** shift+F3**).

3. In the** insert function tab** you will see all functions.

4. Select **Engineering **category.

5. Select **BITXOR **function.

6. Then select **ok**.

7. In the function arguments Tab you will see **BITXOR function**.

8. Number1 is the **decimal representation** of the binary number you want to evaluate.

9. Number2 is the **decimal representation** of the binary number you want to evaluate.

10. You will see the **results **in formula result section.

## Examples of BITXOR function in Excel

- To perform a bitwise XOR operation on two binary numbers and return the result in binary:

`=BITXOR(110110,101010)`

This will return the result 011100, which is the binary representation of the XOR of the two input values.

- To perform a bitwise XOR operation on two decimal numbers and return the result in binary:

`=BITXOR(54,42)`

This will return the result 00011100, which is the binary representation of the XOR of the two input values.

- To toggle a specific bit in a binary number using the XOR operator:

`=BITXOR(101001,BITRSHIFT(1,3))`

This will toggle the 4th bit from the right in the binary number 101001.

- To perform a bitwise XOR operation on three binary numbers:

`=BITXOR(BITXOR(1010,1100),1110)`

This will return the result 0010, which is the binary representation of the XOR of the three input values.

- To generate a random binary sequence using the XOR operator:

`=BITXOR(RANDBETWEEN(0,255),RANDBETWEEN(0,255))`

This will return a randomly generated 8-bit binary number.

- To check if two binary numbers have any bits in common using the XOR operator:

`=IF(BITXOR(1010,1100)=0,"No common bits","Common bits")`

This will check if the binary numbers 1010 and 1100 have any bits in common.

- To extract the odd bits from a binary number using the XOR operator:

`=BITXOR(10101010,BITRSHIFT(01010101,1))`

This will return the binary number 101010, which is the odd bits of the binary number 10101010.

- To extract the even bits from a binary number using the XOR operator:

`=BITXOR(10101010,BITRSHIFT(10101010,1))`

This will return the binary number 010101, which is the even bits of the binary number 10101010.

- To generate a Gray code sequence using the XOR operator:

`=BITXOR(BITRSHIFT(RANDBETWEEN(0,255),1),RANDBETWEEN(0,255))`

This will return a randomly generated 8-bit Gray code sequence.

- To perform a bitwise XOR operation on a range of binary numbers and return the result in decimal:

`=BIN2DEC(BITXOR(BIN2HEX(A2),BIN2HEX(B2)))`

**Example 1:**

**How to use BITXOR function in** **excel**

You can see examples of **BITXOR** function below:

```
bitxor(A2,B2) ----->>>>answer is 0
bitxor(A3,B3) ----->>>>answer is 1
bitxor(A4,B4) ----->>>>answer is 10
bitxor(A5,B5) ----->>>>answer is 11
bitxor(A6,B6) ----->>>>answer is 1111
bitxor(A7,B7) ----->>>>answer is 1110
```

## Discover the BITXOR function in Excel for bitwise exclusive OR operations

The BITXOR function in Excel is used for bitwise exclusive OR operations. It takes two or more arguments that represent binary numbers and returns a decimal number that represents the result of the operation. For example, suppose we have two binary numbers 1010 and 1100. If we perform a bitwise exclusive OR operation on these two numbers using the BITXOR function in Excel, we get the result as 0110.

## Learn about the arguments of the BITXOR function in Excel

The BITXOR function in Excel takes two or more arguments that represent binary numbers. These arguments can be either entered directly into the formula or referenced from cells containing the binary values. For example, suppose we have two binary numbers 1010 and 1100 stored in cells A1 and A2, respectively. To perform an exclusive OR operation on these numbers using the BITXOR function, we can use the formula “=BITXOR(A1,A2)”.

## Find out what the BITXOR function returns in Excel

The BITXOR function in Excel returns a decimal number that represents the result of the exclusive OR operation performed on the binary numbers passed as arguments. The result is calculated by comparing the corresponding bits in the binary numbers and returning a 1 if the bits are different and a 0 if they are the same. For example, if we perform a bitwise exclusive OR operation on binary numbers 1010 and 1100 using the BITXOR function in Excel, we get the decimal value 6 (0110 in binary).

## Using the BITXOR function with decimal numbers in Excel

The BITXOR function in Excel is designed to work with binary numbers only. Therefore, to use this function with decimal numbers, we need to first convert the decimal numbers into binary format. One way to do this is to use the DEC2BIN function in Excel, which converts a decimal number to its binary equivalent. Once we have converted the decimal numbers to binary, we can perform an exclusive OR operation on them using the BITXOR function. For example, suppose we want to perform an exclusive OR operation on decimal numbers 10 and 12. We can first convert these numbers to binary using the formula “=DEC2BIN(10)” and “=DEC2BIN(12)”. This gives us the binary numbers 1010 and 1100, respectively. We can then perform an exclusive OR operation on these two numbers using the BITXOR function as “=BITXOR(B1,B2)”, where B1 and B2 are the cells containing the binary numbers.

## Convert decimal numbers to binary in Excel with the DEC2BIN function

The DEC2BIN function in Excel is used to convert a decimal number to its binary equivalent. It takes two arguments – the decimal number to be converted and the number of bits to be used in the binary representation (optional). For example, if we want to convert the decimal number 10 to binary, we can use the formula “=DEC2BIN(10)”. This will give us the binary number 1010. If we want to represent the binary number with 8 bits, we can use the formula “=DEC2BIN(10,8)”. This will give us the binary number 00001010.

## Convert binary numbers to decimal in Excel with the BIN2DEC function

The BIN2DEC function in Excel is used to convert a binary number to its decimal equivalent. It takes a single argument – the binary number to be converted. For example, if we have a binary number 1010 that we want to convert to decimal, we can use the formula “=BIN2DEC(1010)”. This will give us the decimal equivalent of the binary number, which is 10.

## Perform a bitwise XOR on multiple binary numbers with Excel’s BITXOR function

Excel’s BITXOR function can be used to perform a bitwise XOR operation on multiple binary numbers. To do this, we simply pass the binary numbers as arguments to the BITXOR function separated by commas. For example, suppose we want to perform an XOR operation on three binary numbers – 1010, 1100, and 1111. We can use the formula “=BITXOR(1010,1100,1111)”. This will give us the result of performing an XOR operation on the three binary numbers.

## Toggle specific bits in binary numbers using the XOR operator in Excel

The XOR operator can be used in Excel to toggle specific bits in a binary number. To do this, we use the XOR operator together with a binary mask that has 1s in the positions of the bits we want to toggle and 0s elsewhere. For example, suppose we have a binary number 1010 and we want to toggle the second bit (from the right). We can use the formula “=1010 XOR 0010”. This will toggle the second bit in the binary number and give us the result 1000.

## Extract odd bits from binary numbers using the XOR operator in Excel

Excel’s XOR operator can be used to extract odd bits from a binary number. To do this, we use the XOR operator together with a binary mask that has 1s in the positions of the odd bits and 0s elsewhere. For example, suppose we have a binary number 101101 and we want to extract the odd bits. We can use the formula “=101101 XOR 1010”. This will give us the result 1001, which is the binary number formed by the odd bits.

## Extract even bits from binary numbers using the XOR operator in Excel

Excel’s XOR operator can also be used to extract even bits from a binary number. To do this, we use the XOR operator together with a binary mask that has 1s in the positions of the even bits and 0s elsewhere. For example, suppose we have a binary number 101101 and we want to extract the even bits. We can use the formula “=101101 XOR 0101”. This will give us the result 0010, which is the binary number formed by the even bits.

## Understanding the difference between BITXOR and BITAND functions in Excel

BITXOR and BITAND are both bitwise operators in Excel, but they perform different operations. The BITXOR function performs a binary exclusive OR operation on two or more binary numbers, while the BITAND function performs a binary AND operation on two or more binary numbers. The result of a BITAND operation is a binary number that has 1s in all the positions where the corresponding bits of both operands are 1s. For example, if we perform a BITAND operation on binary numbers 1010 and 1100 using the BITAND function in Excel, we get the result 1000.

## Knowing the difference between BITXOR and BITOR functions in Excel

BITXOR and BITOR are also bitwise operators in Excel, but they perform different operations. The BITXOR function performs a binary exclusive OR operation on two or more binary numbers, while the BITOR function performs a binary OR operation on two or more binary numbers. The result of a BITOR operation is a binary number that has 1s in all the positions where at least one of the corresponding bits of the operands is 1. For example, if we perform a BITOR operation on binary numbers 1010 and 1100 using the BITOR function in Excel, we get the result 1110.

## Generate random binary numbers with Excel’s BITXOR function

Excel’s BITXOR function can be used to generate random binary numbers by XORing two or more binary numbers together. One of the binary numbers used can be a randomly generated number. For example, suppose we want to generate a random 4-bit binary number. We can use the formula “=BITXOR(1101,RANDBETWEEN(0,15))”. This will XOR the binary number 1101 with a randomly generated 4-bit binary number, giving us a new random binary number.

## Check for common bits in binary numbers using Excel’s BITXOR function

Excel’s BITXOR function can be used to check for common bits between two or more binary numbers. If the result of a BITXOR operation is not zero, then it means that at least one of the corresponding bits in the operands is different. Therefore, if the result of a BITXOR operation is zero, then it means that all the corresponding bits in the operands are the same. For example, suppose we want to check if binary numbers 1010 and 1100 have any common bits. We can use the formula “=BITXOR(1010,1100)”. This will return the result 0110, which is not zero. Therefore, we can conclude that binary numbers 1010 and 1100 have some common bits.

## Concatenate binary numbers in Excel using the XOR operator and the BITOR function

The XOR operator and the BITOR function in Excel can be used to concatenate binary numbers. To concatenate two binary numbers, we first shift the bits of the second number to the left by the number of bits in the first number using the BITLSHIFT function. We then use the XOR operator to combine the two numbers and the BITOR function to fill in the empty bit positions with 1s. For example, suppose we want to concatenate binary numbers 1010 and 1100. We can use the formula “=BITOR(BITLSHIFT(1100,4),1010 XOR 1100)”. This will give us the concatenated binary number 10101100.

## Reverse bit order of binary numbers using the XOR operator and BITRSHIFT function in Excel

Excel’s XOR operator and BITRSHIFT function can be used to reverse the order of bits in a binary number. To do this, we first shift all the bits to the right by the number of bits in the binary number minus 1 using the BITRSHIFT function. We then use the XOR operator to invert the bits. For example, suppose we have a binary number 1011 and we want to reverse its bit order. We can use the formula “=BITRSHIFT(1011,3) XOR 1011”. This will give us the binary number 1101, which is the reversed bit order of 1011.

## Compare binary numbers in Excel using the BITXOR function

Excel’s BITXOR function can be used to compare two binary numbers. If the result of the BITXOR operation is zero, then it means that both binary numbers are equal. Otherwise, if the result is non-zero, then it means that the binary numbers are different. For example, suppose we want to compare binary numbers 1010 and 1100. We can use the formula “=BITXOR(1010,1100)”. This will return the result 0110, which is non-zero. Therefore, we can conclude that the binary numbers 1010 and 1100 are different.

## Use the BITXOR function in conditional formatting rules in Excel

Excel’s BITXOR function can be used in conditional formatting rules to highlight cells that contain specific binary patterns. For example, suppose we want to highlight all cells that contain the binary pattern 101. We can create a new conditional formatting rule and use the formula “=BITXOR(cell,101)=0” as the condition. This will highlight all cells where the binary pattern 101 is present.

## Perform a bitwise XOR operation on a range of binary numbers in Excel

Excel’s BITXOR function can be used to perform a bitwise XOR operation on a range of binary numbers. To do this, we can use the formula “=BITXOR(range)”, where “range” is the range of cells that contain binary numbers. For example, suppose we have a range of cells A1:A5, where each cell contains a binary number. We can use the formula “=BITXOR(A1:A5)” to perform an XOR operation on all the binary numbers in the range.

## Practical applications of Excel’s BITXOR function in data encryption, error correction, Gray code generation, and signal processing

Excel’s BITXOR function has several practical applications in various fields. In data encryption, it can be used as part of the encryption process to scramble the data using a secret key. In error correction, it can be used to detect and correct errors in transmitted binary data. In Gray code generation, it can be used to generate the Gray code sequence, which is a non-weighted code used in digital circuits. In signal processing, it can be used to filter out noise from signals by XORing the noisy signal with a known reference signal.