title: Mathematical (Arithmetic) representation of XOR
body: <p>I have spent the last 5 hours searching for an answer. Even though I have found many answers they have not helped in any way.</p>
  
  <p>What I am basically looking for is a mathematical, arithmetic only representation of the bitwise XOR operator for any 32bit unsigned integers.</p>
  
  <p>Even though this sounds really simple, nobody (at least it seems so) has managed to find an answer to this question.</p>
  
  <p>I hope we can brainstorm, and find a solution together.</p>
  
  <p>Thanks.</p>