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J277 2.4 Boolean logic consolidation

Part 4 of 4 · J277 2.4 · Boolean logic

The consolidation worksheet for OCR J277 2.4, bringing gate rules, truth tables, combined expressions and diagrams together in one makerspace scenario.

Students will:

  • translate a stated condition into a Boolean input
  • choose the operator a described rule needs
  • complete a truth table for a multi-stage expression
  • draw a diagram that meets a stated set of requirements
  • check that every input combination has been considered

Inside: 3 explanation cells, 1 multiple-choice question, 1 fill-in-the-blanks cell and 6 written answers. 24 marks, about 45 minutes.

Series: J277 2.4 · Boolean logic, part 4 of 4.

Shared by Coding PathwayVerified teacher

  • 11 cells
  • About 45 minutes
  • CC BY-SA 4.0
  • Shared 17 Aug 2026
  • Updated 9 Sept 2026

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The whole resource, exactly as a class sees it. Answers and marking are held back.

Boolean logic consolidation

This worksheet brings together gate rules, truth tables, combined expressions and logic diagrams. The context is a community makerspace with sensors controlling access, ventilation and warning lights.

For every multi-stage problem, use the same reliable method:

  1. translate each condition into a Boolean input;
  2. identify the first gate or bracketed operation;
  3. record intermediate results;
  4. calculate the final output;
  5. check that all possible input combinations have been considered.
Fill in the blanks4 marks
Complete the retrieval summary. label 1 outputs 1 only when both inputs are 1. label 2 outputs 1 when at least one input is 1. label 3 reverses one input. A label 4 records outputs for every input combination.
  • AND
  • OR
  • NOT
  • truth table
  • translator
  • iteration
Multiple choice1 mark

Which expression switches on a machine only when a valid pass is detected and the emergency stop is not active?

  • Avalid_pass AND NOT emergency_stop
  • Bvalid_pass OR emergency_stop
  • CNOT valid_pass AND emergency_stop
  • DNOT (valid_pass OR emergency_stop)
Written answer4 marks

Complete the output column for NOT (A AND B) using input rows 00, 01, 10, 11.

Calculate A AND B first, then reverse each result.

Students type their answer here.

Written answer3 marks

A warning light uses W = (heat OR smoke) AND NOT maintenance_mode. Explain when W will be 1.

Build one complete chain from the sensor inputs through both stages.

Students type their answer here.

Written answer2 marks

How many rows are required for a complete truth table with four independent inputs? Explain your answer.

State the row count and show how each input doubles the combinations.

Students type their answer here.

Written answer3 marks

A student says OR produces 1 only when exactly one input is 1. Correct the misconception using two rows from an OR truth table.

Use one row with a single 1 and the row where both inputs are 1.

Students type their answer here.

Diagram challenge

The makerspace ventilation runs when air quality is poor OR the temperature is high, but only when the quiet-session switch is NOT active. The required expression is:

V = (poor_air OR high_temperature) AND NOT quiet_session

This needs an OR gate for the two sensor inputs, a NOT gate for the quiet-session input, and a final AND gate that combines those two results.

Written answer4 marks

Describe the complete logic diagram for the ventilation expression, including every input, gate and connection.

Use a point for each gate, then explain which two intermediate outputs enter the final gate.

Students type their answer here.

Written answer3 marks

Evaluate this method for completing a combined truth table: ‘I calculate the final expression in my head and do not write intermediate columns.’

Give a possible advantage, a limitation and a justified recommendation for an examination.

Students type their answer here.

Final review

You should now be able to recognise and sketch all three required gate symbols, state their truth tables, calculate combined expressions, determine the number of truth-table rows, and translate between a scenario, expression and logic diagram.