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O-LevelComputer ScienceBoolean logic2210/22 · Oct/Nov 2025 · Q68 Marks

Consider the logic expression: X = (J XOR NOT K) NAND NOT L

  1. (a)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 L X[4]
  2. (b)Complete the truth table for the given logic expression. J K L Working space X 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1[4]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.

  1. [1] One mark for each correct gate, with the correct input(s) as shown.
  2. [4] (Image of logic circuit diagram showing: NOT K connected to XOR with J. NOT L connected to NAND with XOR output. Final output X.)
  3. J K L X 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1

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About this question

Topic
Boolean logic, O-Level Computer Science (syllabus 2210). Structured question, 8 marks.
Source
O-Level Computer Science, Oct/Nov 2025 Paper 2 Variant 2, question 6.

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