How to represent XOR of two decimal Numbers with Arithmetic Operators Is there any way to represent XOR of two decimal Numbers using Arithmetic Operators (+,-,*,/,%).

The answer is yes. Let us assume the numbers $a,b$ have the form
$a = (a_1,a_2,\ldots,a_n)$
$b = (b_1,b_2,\ldots,b_n)$
where $a_i,b_i \in \{0,1\}$. We can extract the lowest bit ($a_n,b_n$) with
$a_n = a\%2$, 
$b_n = b\%2$.
Similar we have 
$a_{n-1}=[(a-a_n)/2]\%2$, $b_{n-1}=[(b-b_n)/2]\%2$
Now when $c = a\text{ XOR }b$ we know that
$c_n = (a_n+b_n)\%2$ and so on and you can put that all together in a huge ugly formula :-)
