#include <bits/stdc++.h>
using namespace std;
int t, n, a, sxor;
unsigned long long cnt;
void print2( int n ) {
short b[32] = {0};
int i = 0;
for ( ; i < 32; i++ ) {
b[i] = n % 2;
n = n / 2;
if ( n == 0 )break;
}
for ( ; i >= 0; i-- )cout<<b[i];
cout<<"\n";
}
int main() {
cin >> t;
while ( t-- ) {
cnt = sxor = 0;
cin >> n;
for ( int i = 1; i <= n + 1; i++ ) {
cin >> a;
if(i != n + 1)cnt *= 2;
if ( a == sxor ) cnt++;
sxor ^= a;
}
print2( cnt );
}
return 0;
}