Combining Boolean Operators (Edexcel GCSE Computer Science)

Revision Note

James Woodhouse

Written by: James Woodhouse

Reviewed by: Lucy Kirkham

Combining Boolean Operators

  • Boolean operators can be combined to produce more complex expressions

  • The combination of two or more Boolean operators forms a logic expression

  • Brackets are used to clarify the order of operations

  • A logic diagram is a visual representation of combinations of Boolean operators within a logic circuit

  • An example would be Q = NOT(A OR B)

logic circuit1
  • In the diagram above, the inputs are represented by A and B

  • P is the output of the OR gate on the left and becomes the input of the NOT gate

  • Q is the final output of the logic circuit

  • This is a logic diagram for the Boolean expression Q = NOT(A OR B)

Examiner Tips and Tricks

You may be asked to draw a logic circuit from a logic statement or a Boolean expression OR write the logical expression that is expressed in the logic diagram

Logic circuits will be limited to a maximum of three inputs and one output

Example of combining Boolean operators

10-boolean-logic
  • P = (A OR B) AND NOT C

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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.