In a two's complement system, 16-bit binary numbers $0010010010010010$ and $1111110011111100$ can be represented in the decimal system as $9362$ and $-772$, correspondingly.
Now, from what I've read and seen in examples, in a two's complement system, subtracting $770$ from $9362$ will look like this:
$$\begin{align}&0010010010010010 \\+&1111110011111100 \\=&1110000010001110\end{align}$$
But this number is negative in a two's complement system and it does not represent $9362$. What am I doing wrong?