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c - Replacing "==" with bitwise operators

Using only bitwise operators (|, &, ~, ^, >>, <<) and other basic operators like +, -, and !, is it possible to replace the "==" below?

int equal(int x, int y) {
    return x == y;
}
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Remember that an XOR is the exactly same as NOT EQUALS and XNOR is exactly the same as EQUALS. So, the following will give you exactly what you want:

return !(x ^ y);

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