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Boolean algebra: AQA A‑Level Computer Science questions

Every AQA A-Level Computer Science exam question on 4.6.5 Boolean algebra, 2020–2025, with its mark scheme and examiner’s report.

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561 questions

  1. Q13

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 13: Using the rules of Boolean algebra, simplify the following Boolean expression. A ⋅B + Aഥ⋅C + B ⋅C + Bഥ⋅A തതതതതതതതതതതതതതതതതതതതതതതതതതതതതതതതതത You must show your w
  2. Q08.1

    June 2025 · AS Paper 2

    The whole paper ↗
    June 2025 AS Paper 2, question 08.1: Apply De Morgan’s law to the Boolean expression shown below. [1 mark] A ⋅B = __________
  3. Q06.3

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 06.3: Using the rules of Boolean algebra, simplify the following Boolean expression. ( ) A B C D + B C D + B + A + B ⋅ ⋅ ⋅ ⋅ ⋅ You must show your working. [4 marks] W
  4. Q06.4

    June 2024 · AS Paper 2

    The whole paper ↗
    June 2024 AS Paper 2, question 06.4: Using the rules of Boolean algebra, simplify the following expression. W ⋅X ⋅Z + W ⋅Z + X ⋅Y ⋅Z + W ⋅X ⋅Y ⋅1 You must show your working. [4 marks] Final answer
  5. Q09.3

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 09.3: Using the rules of Boolean algebra, simplify the following Boolean expression. A ∙Bഥ + B ∙(Aഥ + (Bഥ∙C) തതതതതതതതതതതതതതത) You must show your working. [4 marks] Wo
  6. Q07.3

    June 2023 · AS Paper 2

    The whole paper ↗
    June 2023 AS Paper 2, question 07.3: Using the rules of Boolean algebra, simplify the following expression. ( ) + + + A B B A C C ⋅ ⋅ You must show your working. [4 marks]
  7. Q03.1

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 03.1: Complete the truth table in Figure 1 for the inputs A and B. [1 mark] Figure 1 𝐀𝐀 𝐁𝐁 𝐀𝐀+ 𝐁𝐁 𝐀𝐀ഥ 𝐁𝐁ഥ 𝐀𝐀ഥ∙𝐁𝐁ഥ 𝐀𝐀ഥ∙𝐁𝐁ഥ തതതതതത 0 0 0 1 1 0 1 1
  8. Q03.2

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 03.2: The truth table in Figure 1 demonstrates the correctness of an important law in Boolean algebra. State the name of the law. [1 mark]
  9. Q03.3

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 03.3: Using the rules of Boolean algebra, simplify the following Boolean expression. Aഥ+ B ∙C + B ⋅Cത തതതതതതതതതതതതതതതതതതതതത+ C ⋅(A + Aഥ∙(B + 1)) You must show your wo
  10. Q07.4

    June 2022 · AS Paper 2

    The whole paper ↗
    June 2022 AS Paper 2, question 07.4: Complete the truth table below. A B B + A B + A B B 0 0 0 1 1 0 1 1 Using the final column, give a simplified Boolean expression for ( ) + A B B [3 marks] Answe
  11. Q07.5

    June 2022 · AS Paper 2

    The whole paper ↗
    June 2022 AS Paper 2, question 07.5: Using the rules and identities of Boolean algebra, simplify the following Boolean expression. ( ) ( ) + + A B A B [4 marks] Answer
  12. Q06.4

    November 2020 · Paper 2

    The whole paper ↗
    November 2020 Paper 2, question 06.4: Using the rules of Boolean algebra, simplify the following Boolean expression. A ∙(A + 1) തതതതതതതതതതതതതത∙Bഥ തതതതതതതതതതതതതതതതതത∙Aഥ+ B + 0 തതതതതതത തതതതതതതതതതതതത Y
  13. Q05.3

    November 2020 · AS Paper 2

    The whole paper ↗
    November 2020 AS Paper 2, question 05.3: Using the rules and identities of Boolean algebra, simplify the following Boolean expression. A + B ⋅Bഥ തതതതതതതതതതതത+ C ⋅A തതതതതതതതതതതതതതതതതതതതതത You must show
All 13 questions on Boolean algebra, as a list
  1. June 2025, Paper 2, Q13 (4 marks): Using the rules of Boolean algebra, simplify the following Boolean expression. A ⋅B + Aഥ⋅C + B ⋅C + Bഥ⋅A തതതതതതതതതതതതതതതതതതതതതതതതതതതതതതതതതത You must show your w
  2. June 2025, AS Paper 2, Q08.1 (1 mark): Apply De Morgan’s law to the Boolean expression shown below. [1 mark] A ⋅B = __________
  3. June 2024, Paper 2, Q06.3 (4 marks): Using the rules of Boolean algebra, simplify the following Boolean expression. ( ) A B C D + B C D + B + A + B ⋅ ⋅ ⋅ ⋅ ⋅ You must show your working. [4 marks] W
  4. June 2024, AS Paper 2, Q06.4 (4 marks): Using the rules of Boolean algebra, simplify the following expression. W ⋅X ⋅Z + W ⋅Z + X ⋅Y ⋅Z + W ⋅X ⋅Y ⋅1 You must show your working. [4 marks] Final answer
  5. June 2023, Paper 2, Q09.3 (4 marks): Using the rules of Boolean algebra, simplify the following Boolean expression. A ∙Bഥ + B ∙(Aഥ + (Bഥ∙C) തതതതതതതതതതതതതതത) You must show your working. [4 marks] Wo
  6. June 2023, AS Paper 2, Q07.3 (4 marks): Using the rules of Boolean algebra, simplify the following expression. ( ) + + + A B B A C C ⋅ ⋅ You must show your working. [4 marks]
  7. June 2022, Paper 2, Q03.1 (1 mark): Complete the truth table in Figure 1 for the inputs A and B. [1 mark] Figure 1 𝐀𝐀 𝐁𝐁 𝐀𝐀+ 𝐁𝐁 𝐀𝐀ഥ 𝐁𝐁ഥ 𝐀𝐀ഥ∙𝐁𝐁ഥ 𝐀𝐀ഥ∙𝐁𝐁ഥ തതതതതത 0 0 0 1 1 0 1 1
  8. June 2022, Paper 2, Q03.2 (1 mark): The truth table in Figure 1 demonstrates the correctness of an important law in Boolean algebra. State the name of the law. [1 mark]
  9. June 2022, Paper 2, Q03.3 (4 marks): Using the rules of Boolean algebra, simplify the following Boolean expression. Aഥ+ B ∙C + B ⋅Cത തതതതതതതതതതതതതതതതതതതതത+ C ⋅(A + Aഥ∙(B + 1)) You must show your wo
  10. June 2022, AS Paper 2, Q07.4 (3 marks): Complete the truth table below. A B B + A B + A B B 0 0 0 1 1 0 1 1 Using the final column, give a simplified Boolean expression for ( ) + A B B [3 marks] Answe
  11. June 2022, AS Paper 2, Q07.5 (4 marks): Using the rules and identities of Boolean algebra, simplify the following Boolean expression. ( ) ( ) + + A B A B [4 marks] Answer
  12. November 2020, Paper 2, Q06.4 (4 marks): Using the rules of Boolean algebra, simplify the following Boolean expression. A ∙(A + 1) തതതതതതതതതതതതതത∙Bഥ തതതതതതതതതതതതതതതതതത∙Aഥ+ B + 0 തതതതതതത തതതതതതതതതതതതത Y
  13. November 2020, AS Paper 2, Q05.3 (4 marks): Using the rules and identities of Boolean algebra, simplify the following Boolean expression. A + B ⋅Bഥ തതതതതതതതതതതത+ C ⋅A തതതതതതതതതതതതതതതതതതതതതത You must show

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