The CPU of a computer has a ripple-carry implementation of a $2$’s complement adder that takes two $8$ – bit integers $A = a_7a_6 \dots a_0$ and $B = b_7b_6 \dots b_0$ as inputs, and produces a sum $S = s_7s_6 \dots s_0$, where $a_i, b_i, c_i \in \{0, 1\} \text{ for } (0 \leq i \leq 7)$. Let $A = 1001 \: 1001 $ and $B = 1000 \: 0110$. What will be the output $S$ of the adder? How will the value of $S$ be interpreted by the machine?