Complete the flow diagram given the rule and initial inputs. The rule is to divide by 2. Initial inputs are 32, 16, 8.

The rule shown in the diagram is to divide the input by 2.

$$\text{Rule: } \div 2$$

The given inputs are 32, 16, and 8. The pattern for inputs also follows the rule of dividing by 2.

• For input 32: $32 \div 2 = 16$
• For input 16: $16 \div 2 = 8$
• For input 8: $8 \div 2 = 4$
• The next input in the sequence would be $8 \div 2 = 4$. Applying the rule: $4 \div 2 = 2$
• The next input would be $4 \div 2 = 2$. Applying the rule: $2 \div 2 = 1$
• The next input would be $2 \div 2 = 1$. Applying the rule: $1 \div 2 = \frac{1}{2}$

The completed flow diagram is:

$$\boxed{ \begin{array}{ccc} \text{Input} & \text{Rule} & \text{Output} \\ \hline 32 & \xrightarrow{\div 2} & 16 \\ 16 & \xrightarrow{\div 2} & 8 \\ 8 & \xrightarrow{\div 2} & 4 \\ 4 & \xrightarrow{\div 2} & 2 \\ 2 & \xrightarrow{\div 2} & 1 \\ 1 & \xrightarrow{\div 2} & \frac{1}{2} \\ \end{array} }$$