Determine Outputs of an Algorithm (Edexcel GCSE Computer Science)

Revision Note

James Woodhouse

Expertise

Computer Science

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

flowchart question

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

01

 X = 5

02

 Y = 3

03

 while X > 0

04

Y = Y + 6

05

X = X - 1

06

 print (Y)

Complete the following trace table for the given algorithm, the first two lines have been filled in for you

Line number

X

Y

PRINT

01

5

 

 

02

 

3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer

Line number

X

Y

PRINT

01

5

 

 

02

 

3

 

04

 

9

 

05

4

 

 

04

 

15

 

05

3

 

 

04

 

21

 

05

2

 

 

04

 

27

 

05

1

 

 

04

 

33

 

05

0

 

 

06

 

 

33

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James Woodhouse

Author: James Woodhouse

James graduated from the University of Sunderland with a degree in ICT and Computing education. He has over 14 years of experience both teaching and leading in Computer Science, specialising in teaching GCSE and A-level. James has held various leadership roles, including Head of Computer Science and coordinator positions for Key Stage 3 and Key Stage 4. James has a keen interest in networking security and technologies aimed at preventing security breaches.