The function INT($C$) gives the largest integer that is less than or equal to $C$.
For example: INT(4.8) = 4, INT(7) = 7, INT(0.8) = 0, INT(−0.8) = −1, INT(−2.4) = −3.

Consider the following algorithm.

Line 10 \quad Input $A$ and $B$
Line 20 \quad Calculate $C = B \div A$
Line 30 \quad Let $D =$ INT($C$)
Line 40 \quad Calculate $E = A \times D$
Line 50 \quad Calculate $F = B - E$
Line 60 \quad Output the value of $F$
Line 70 \quad Replace $B$ by the value of $D$
Line 80 \quad If $B = 0$ then stop, otherwise go back to line 20

\begin{enumerate}[label=(\roman*)]
\item Apply the algorithm using the inputs $A = 10$ and $B = 128$. Record the values of $A$, $B$, $C$, $D$, $E$, and $F$ every time they change. Record the output each time line 60 is reached. [4]

\item Show what happens when the input values are $A = 10$ and $B = -13$. [5]
\end{enumerate}

\hfill \mbox{\textit{OCR D1 2012 Q6 [9]}}