^ - bitwise XOR (exclusive OR)

suggest change
#include <iostream>
#include <string>

int main(int argc, char **argv) {
    int a = 5;     // 0101b  (0x05)
    int b = 9;     // 1001b  (0x09)
    int c = a ^ b; // 1100b  (0x0C)
    
    std::cout << "a = " << a << ", b = " << b << ", c = " << c << std::endl;
}
a = 5, b = 9, c = 12

Why

A bit wise XOR (exclusive or) operates on the bit level and uses the following Boolean truth table:

true OR true = false
true OR false = true
false OR false = false

Notice that with an XOR operation true OR true = false where as with operations true AND/OR true = true, hence the exclusive nature of the XOR operation.

Using this, when the binary value for a (0101) and the binary value for b (1001) are XOR’ed together we get the binary value of 1100:

int a = 0 1 0 1
int b = 1 0 0 1 ^
        ---------
int c = 1 1 0 0

The bit wise XOR does not change the value of the original values unless specifically assigned to using the bit wise assignment compound operator ^=:

#include <iostream>

int main(int argc, char **argv) {
    int a = 5;  // 0101b  (0x05)
    a ^= 9;    // a = 0101b ^ 1001b

    std::cout << "a = " << a << std::endl;
}
a = 12

also in 2015+ compilers variables may be assigned as binary:

int cn = 0b0111;

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Bit operators:
* ^ - bitwise XOR (exclusive OR)

Table Of Contents
5 Bit operators
8 Arrays
11 Loops
39 Streams
51 Unions
56 Lambdas
60 SFINAE
62 RAII
67 Sorting
84 RTTI
87 Scopes
104 Profiling
107 Recursion
117 Iteration
125 Alignment
134 Semaphore
136 Debugging
139 Mutexes
142 decltype