Determine Outputs of an Algorithm (Edexcel GCSE Computer Science)

Revision Note

James Woodhouse

Written by: James Woodhouse

Reviewed by: Lucy Kirkham

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

Expertise: Computer Science

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.

Lucy Kirkham

Author: Lucy Kirkham

Expertise: Head of STEM

Lucy has been a passionate Maths teacher for over 12 years, teaching maths across the UK and abroad helping to engage, interest and develop confidence in the subject at all levels.Working as a Head of Department and then Director of Maths, Lucy has advised schools and academy trusts in both Scotland and the East Midlands, where her role was to support and coach teachers to improve Maths teaching for all.