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Figure 2 shows an algorithm that uses integer division which has been represented using pseudo-code - AQA - GCSE Computer Science - Question 2 - 2023 - Paper 1
Question 2
Figure 2 shows an algorithm that uses integer division which has been represented using pseudo-code. - Line numbers are included but are not part of the algorithm. ... show full transcript
Worked Solution & Example Answer:Figure 2 shows an algorithm that uses integer division which has been represented using pseudo-code - AQA - GCSE Computer Science - Question 2 - 2023 - Paper 1
Step 1
Step 2
In the algorithm in Figure 2, what will be output when the user input is 10?
Answer
When the user inputs 10, the output will be 2. This is because the WHILE a > 0 will divide 10 by 3, resulting in:
- a = 10, counter = 0
- First division: a = 10 DIV 3 = 3, counter = 1
- Second division: a = 3 DIV 3 = 1, counter = 2
- Third division: a = 1 DIV 3 = 0, counter remains 2
Thus, the output will be a, which is 0.
Step 3
In the algorithm in Figure 2, what is the largest possible value of the variable counter when the user input is 36?
Answer
The largest possible value of the variable counter when the user input is 36 can be calculated as follows:
- a = 36, counter = 0
- First division: a = 36 DIV 3 = 12, counter = 1
- Second division: a = 12 DIV 3 = 4, counter = 2
- Third division: a = 4 DIV 3 = 1, counter = 3
- Fourth division: a = 1 DIV 3 = 0, counter = 4
Thus, the largest possible value of counter is 4.