What will be the final value of count after executing the following code? int count = 0; for(int i = 1; i < 10; i *= 2) { count++; }

Steps to Solve

1. Initialization of Variables

The variable count is initialized to 0. The loop variable i is initialized to 1.

2. First Iteration of the Loop

• Check the condition: $i < 10$, which is $1 < 10$ (true).
• Increment count: $count = count + 1 = 0 + 1 = 1$.
• Update i: $i = i \times 2 = 1 \times 2 = 2$.

3. Second Iteration of the Loop

• Check the condition: $i < 10$, which is $2 < 10$ (true).
• Increment count: $count = count + 1 = 1 + 1 = 2$.
• Update `i$: $i = i \times 2 = 2 \times 2 = 4$.

4. Third Iteration of the Loop

• Check the condition: $i < 10$, which is $4 < 10$ (true).
• Increment `count$: $count = count + 1 = 2 + 1 = 3$.
• Update `i$: $i = i \times 2 = 4 \times 2 = 8$.

5. Fourth Iteration of the Loop

• Check the condition: $i < 10$, which is $8 < 10$ (true).
• Increment `count$: $count = count + 1 = 3 + 1 = 4$.
• Update `i$: $i = i \times 2 = 8 \times 2 = 16$.

6. Fifth Iteration of the Loop

• Check the condition: $i < 10$, which is $16 < 10$ (false).
• The loop ends as the condition is no longer satisfied.