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O-LevelComputer ScienceBoolean logic2210/11 · May/June 2018 · Q610 Marks

Consider the logic statement: X = 1 if ((A is NOT 1 OR B is 1) NOR C is 1) NAND ((A is 1 AND C is 1) NOR B is 1)

  1. (a)Draw a logic circuit to represent the given logic statement. [Figure 6(a) logic circuit diagram][6]
  2. (b)Complete the truth table for the given logic statement. [Figure 6(b) truth table] 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[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 for A
  2. [1] (a) OR gate for (NOT A or B)
  3. [1] (a) NOR gate for ((NOT A or B) NOR C)
  4. [1] (a) AND gate for (A AND C)
  5. [1] (a) NOR gate for ((A AND C) NOR B)
  6. [1] (a) NAND gate combining the two NOR outputs
  7. [4] (b) for 8 correct outputs
  8. [3] (b) for 6 or 7 correct outputs
  9. [2] (b) for 4 or 5 correct outputs
  10. [1] (b) for 2 or 3 correct outputs
  11. [1] (b) X = 1 when A=0, B=0, C=0
  12. [1] (b) X = 1 when A=0, B=0, C=1
  13. [1] (b) X = 1 when A=0, B=1, C=0
  14. [1] (b) X = 1 when A=0, B=1, C=1
  15. [1] (b) X = 0 when A=1, B=0, C=0
  16. [1] (b) X = 1 when A=1, B=0, C=1
  17. [1] (b) X = 1 when A=1, B=1, C=0
  18. [1] (b) X = 1 when A=1, B=1, C=1

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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 1, question 6.

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