Java BinarySearch

you are not actually comparing with the array values. in

while (low <= high) {
      mid = (low + high) / 2;
      if (mid > key) {
          high = mid - 1;
      } else if (mid < key) {
          low = mid + 1;
      } else {
          return mid;
      }
}

Instead use this section

    while (low <= high) {
        mid = (low + high) / 2;
        if (a[mid] > key) {
            high = mid - 1;
        } else if (a[mid] < key) {
            low = mid + 1;
        } else {
            return mid;
        }
    }

You were correct to find the indexes, but what you were doing is that you were just comparing index number with your key, which is obviously incorrect. When you write a[mid] you will actually compare your key with the number which is at index mid.

Also the last line of code is giving compile error, it should be

System.out.println("Found " + key + " at " + binarySearch(a, key));