XNOR Calculator

An XNOR Calculator performs the bitwise XNOR (exclusive NOR) operation on two binary numbers. The XNOR operation is the inverse of the XOR (exclusive OR) operation. It returns:

1 if both bits are the same (either both 0 or both 1)
0 if the bits are different (one is 0, the other is 1)
Bitwise XNOR Explanation:
XNOR (⊙):
0 XNOR 0 = 1
0 XNOR 1 = 0
1 XNOR 0 = 0
1 XNOR 1 = 1
So, the XNOR operation produces 1 if both bits are equal, and 0 if the bits differ.

Example of XNOR Calculation:
Let's perform the XNOR operation on two binary numbers 1101 and 1011.

XNOR Calculation:
Perform the XOR operation on the two numbers first:
sql

1101 (binary 13)
^ 1011 (binary 11)
--------
0110 (XOR result)
Then, invert (NOT) the XOR result to get the XNOR result:
yaml

0110 (XOR result)
NOT -> 1001 (XNOR result, since NOT 0110 = 1001)
So, the XNOR result of 1101 and 1011 is 1001, which is 9 in decimal.

How to Use an XNOR Calculator:
An XNOR calculator works by:

Accepting two binary numbers as inputs.
Performing the XOR operation.
Inverting the result (i.e., applying NOT).
Returning the result in binary, decimal, or hexadecimal formats.
Online XNOR Calculators:
You can use the following online tools to calculate the XNOR of two numbers:

RapidTables XOR Calculator: This calculator performs XOR, and you can manually negate the result for XNOR.
Toolbox XNOR Calculator: This tool can calculate the XNOR operation directly and show results in multiple formats.
XNOR Using Python:
If you're comfortable with programming, you can easily calculate the XNOR operation in Python:

python

# XNOR operation between two binary numbers
bin1 = 0b1101 # Binary 13
bin2 = 0b1011 # Binary 11

xor_result = bin1 ^ bin2 # Perform XOR first
xnor_result = ~xor_result & 0b1111 # Invert the XOR result and mask to 4 bits
print(bin(xnor_result)) # Output in binary
print(xnor_result) # Output in decimal
Output:

sql

0b1001 # Binary result
9 # Decimal result
In this example:

XOR the numbers 1101 and 1011 → 0110.
Invert the XOR result (~0110 → 1001).
The result is 1001 in binary, which is 9 in decimal.
Use Cases for XNOR:
Digital Circuit Design: XNOR gates are used in digital circuits and can be employed to build complex logic functions. XNOR gates are also used for parity checking (even parity).
Data Verification: In error detection and correction, XNOR is used to compare two data sets to check if they match.
Cryptography: The XNOR operation is sometimes used in encryption algorithms and hash functions for data manipulation and transformation.
Signal Processing: XNOR gates are used in certain signal-processing applications where comparing two signals is necessary.