O Level Computer Science 2210 · Topic 10

Boolean logic: past paper questions

50 real questionsasked in 10 of the last 10 exam series2019–2025usually: Complete, Draw, Write, Consider, Give

Real questions on boolean logic

The newest 20 of 50 written questions. Open one to see it on the real paper.

2210/22 · October/November 2025 · Q1[1]
The result of the arithmetic operation 4 ^ 2 is A 2 B 8 C 16 Tick (✓) one box to complete this sentence.
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2210/22 · October/November 2025 · Q6a[4]
Draw a logic circuit for the logic expression. Each logic gate must have a maximum of two inputs. Do not simplify the logic expression. J K X L
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2210/22 · October/November 2025 · Q6b[4]
Complete the truth table for the given logic expression. J K L 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Working space X
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2210/23 · October/November 2025 · Q4c(i)[2]
Write the logic expression for this problem. X =
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2210/23 · October/November 2025 · Q4c(ii)[4]
Complete the truth table for this problem. A B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Working space X (ii)
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2210/22 · May/June 2025 · Q8a[2]
Draw the symbol for an XOR logic gate and complete the truth table for it. XOR logic gate symbol: Truth table: A B 0 0 0 1 1 0 1 1 X
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2210/22 · May/June 2025 · Q8b(i)[2]
Write the logic expression for the crane moving. X =
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2210/22 · May/June 2025 · Q8b(ii)[4]
Complete the truth table for the crane moving. A B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Working space X
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2210/23 · October/November 2024 · Q3[4]
Four logic gates and five logic gate symbols are shown. Draw one line to link each logic gate to its correct symbol. Not all logic gate symbols will be used. Logic gate symbol Logic gate AND NAND XOR NOR
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2210/23 · October/November 2024 · Q8[4]
air conditioning A temperature T heater H window W air conditioning off 0 air conditioning on 1 not too high 0 too high 1 heater off 0 heater on 1 window closed 0 window open 1 A logic circuit is to be built to control the automatic opening of a window. The window W opens if the temperature T is too high, the heater H...
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2210/21 · May/June 2024 · Q8a[5]
Draw a logic circuit for this logic expression. Each logic gate must have a maximum of two inputs. Do not simplify this logic expression. R S Z T
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2210/21 · May/June 2024 · Q8b[4]
Complete the truth table from the given logic expression. R S T 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Working space Z
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2210/22 · May/June 2024 · Q2[4]
Four logic functions and five standard symbols for logic gates are shown. Draw one line to link each logic function to its standard symbol. Not all standard symbols will be used. Logic function Standard symbol AND XOR NAND OR
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2210/22 · May/June 2024 · Q8a[3]
Write the logic expression for this problem.
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2210/22 · May/June 2024 · Q8b[4]
Complete the truth table for this problem. A B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Working space X
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2210/22 · October/November 2023 · Q9a[4]
Draw a logic circuit for this logic expression. Each logic gate must have a maximum of two inputs. Do not simplify this logic expression. A Z B C
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2210/22 · October/November 2023 · Q9b[4]
Complete the truth table from the given logic expression. A B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 Working space Z
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2210/23 · October/November 2023 · Q6a[2]
The only time the output is 1 is when both inputs are 1. Logic gate Complete the truth table for this description. A B 0 0 0 1 1 0 1 1 X
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2210/23 · October/November 2023 · Q6b[2]
The output is 1 when both inputs are different. Logic gate Complete the truth table for this description. A B 0 0 0 1 1 0 1 1 X
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2210/23 · October/November 2023 · Q6c[2]
The only time the output is 1 is when both inputs are 0. Logic gate Complete the truth table for this description. A B 0 0 0 1 1 0 1 1 X
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What examiners said

A well answered logic circuit question. Most candidates achieved some marks. Many candidates achieved high marks.
— Examiner report, October/November 2023, 2210/22 Q9(a) (Cambridge)

Most candidates answered this question well. A significant number of candidates made some errors when working through the logic expression, leading to incorrect outputs.
— Examiner report, October/November 2023, 2210/22 Q9(b) (Cambridge)

This was answered well by most candidates. They correctly drew the correct logic gate symbols and in the correct order.
— Examiner report, October/November 2023, 2210/23 Q6(d) (Cambridge)

Practise this topic

Answer these questions online and get each one marked against the official mark scheme, with what you missed and how to fix it.

Practise boolean logic

In the syllabus

10.0 Boolean logic

Identify and use the standard symbols for logic • See section 4 for logic gate symbols
Define and understand the functions of logic • Including:
– NOT – AND – OR – NAND – NOR – XOR (EOR) – the binary output produced from all the possible binary inputs • NOT is a single input gate • All other gates are limited to two inputs
(a) Use logic gates to create given logic circuits • Circuits must be drawn for the statement given,
without simplification
problem statement • Logic circuits will be limited to a maximum of
three inputs and one output
• An example truth table with three inputs, for
problem statement completion:
A B C Output
0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1
problem statement

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