Determine Outputs of an Algorithm (Edexcel GCSE Computer Science): Revision Note
Exam code: 1CP2
Trace Tables
What is a trace table?
- A trace table is used to test algorithms and programs for logic errors that appear when an algorithm or program executes 
- Trace tables can be used with flowcharts, pseudocode or program code 
- A trace table can be used to: - Discover the purpose of an algorithm by showing output data and intermediary steps 
- Record the state of the algorithm at each step or iteration 
 
- Each stage of the algorithm is executed step by step. 
- Inputs, outputs, variables and processes can be checked for the correct value when the stage is completed 
Trace table walkthrough
- Below is a flowchart to determine the highest number of ten user-entered numbers 
- The algorithm prompts the user to enter the first number which automatically becomes the highest number entered 
- The user is then prompted to enter nine more numbers. - If a new number is higher than an older number then it is replaced 
 
- Once all ten numbers are entered, the algorithm outputs which number was the highest 
- Example test data to be used is: 4, 3, 7, 1, 8, 3, 6, 9, 12, 10 

| Trace table: Highest number | |||
|---|---|---|---|
| Count | Highest | Number | Output | 
| 1 | 
 | 
 | Enter ten numbers | 
| 
 | 4 | 
 | Enter your first number | 
| 2 | 
 | 3 | Enter your next number | 
| 3 | 7 | 7 | 
 | 
| 4 | 
 | 1 | 
 | 
| 5 | 8 | 8 | 
 | 
| 6 | 
 | 3 | 
 | 
| 7 | 
 | 6 | 
 | 
| 8 | 9 | 9 | 
 | 
| 9 | 12 | 12 | 
 | 
| 10 | 
 | 10 | 12 is your highest number | 
Worked Example
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| 05 | 
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| 06 | 
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Complete the following trace table for the given algorithm, the first two lines have been filled in for you
| Line number | X | Y | |
|---|---|---|---|
| 01 | 5 | 
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| 02 | 
 | 3 | 
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Answer
| Line number | X | Y | |
|---|---|---|---|
| 01 | 5 | 
 | 
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| 02 | 
 | 3 | 
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| 04 | 
 | 9 | 
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| 05 | 4 | 
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| 04 | 
 | 15 | 
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| 05 | 3 | 
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| 04 | 
 | 21 | 
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| 05 | 2 | 
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| 04 | 
 | 27 | 
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| 05 | 1 | 
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| 04 | 
 | 33 | 
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| 05 | 0 | 
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| 06 | 
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 | 33 | 
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