Chapter 1.1, Problem 16PPSE

Solution

Including process column, complete the table.

Input	$1$	$2$	$3$	$4$	$5$	$6$	…	$n$
Output	$0$	$1$	$2$	$3$	$\boxed{4}$	$\boxed{5}$	…	$\boxed{n-1}$

Given:

Input	$1$	$2$	$3$	$4$	$5$	$6$	…	$n$
Output	$0$	$1$	$2$	$3$	$\boxed{}$	$\boxed{}$	…	$\boxed{}$

Calculation:

Input	$1$	$2$	$3$	$4$	$5$	$6$	…	$n$
Output	$0$	$1$	$2$	$3$	$\boxed{}$	$\boxed{}$	…	$\boxed{}$

For input $1$ :

  $\begin{array}{l}\text{Output}=1-1\\ \text{Output}=0\end{array}$

For input $2$ :

  $\begin{array}{l}\text{Output}=2-1\\ \text{Output}=1\end{array}$

For input $3$ :

  $\begin{array}{l}\text{Output}=3-1\\ \text{Output}=2\end{array}$

For input $4$ :

  $\begin{array}{l}\text{Output}=4-1\\ \text{Output}=3\end{array}$

For input $5$ :

  $\begin{array}{l}\text{Output}=5-1\\ \text{Output}=4\end{array}$

For input $6$ :

  $\begin{array}{l}\text{Output}=6-1\\ \text{Output}=5\end{array}$

For input $n$ :

  $\text{Output}=n-1$

Therefore, the table is:

Input	$1$	$2$	$3$	$4$	$5$	$6$	…	$n$
Output	$0$	$1$	$2$	$3$	$\boxed{4}$	$\boxed{5}$	…	$\boxed{n-1}$