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O-LevelComputer ScienceBoolean logic2210/12 · May/June 2018 · Q710 Marks

Consider the logic statement: X = 1 if ((A is 1 AND B is NOT 1) NAND C is 1) XOR ((A is 1 AND C is 1) OR B is 1)

  1. (a)Draw a logic circuit to represent the given logic statement.[6]
  2. (b)Complete the truth table for the given logic statement. A B C 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 (May/June 2018). The mark or mark type is shown in brackets.

  1. [1] (a) NOT gate with input B
  2. [1] (a) AND gate with inputs A and output of NOT B
  3. [1] (a) NAND gate with inputs (output of A AND NOT B) and C
  4. [1] (a) AND gate with inputs A and C
  5. [1] (a) OR gate with inputs (output of A AND C) and B
  6. [1] (a) XOR gate with inputs (output of NAND) and (output of OR)
  7. [4] (b) 8 correct outputs for X (1, 1, 0, 0, 1, 1, 0, 0)
  8. [3] (b) 6 or 7 correct outputs for X
  9. [2] (b) 4 or 5 correct outputs for X
  10. [1] (b) 2 or 3 correct outputs for X

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About this question

Topic
Boolean logic, O-Level Computer Science (syllabus 2210). Structured question, 10 marks.
Source
O-Level Computer Science, May/June 2018 Paper 1 Variant 2, question 7.

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