O-LevelComputer ScienceBoolean logic2210/12 · May/June 2022 · Q59 Marks
Consider the following logic statement: X = ((A OR B) AND (NOT (B XOR C)) AND C)
- (a)Draw a logic circuit to represent the given logic statement. Do not attempt to simplify the logic statement. All logic gates must have a maximum of two inputs. A B C -X[5]
- (b)Complete the truth table for the given logic statement. 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[4]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [1] OR gate with inputs A and B
- [1] XOR gate with inputs B and C
- [1] NOT gate with input from (B XOR C)
- [1] AND gate with inputs from (A OR B) and (NOT (B XOR C))
- [1] AND gate with inputs from ((A OR B) AND (NOT (B XOR C))) and C, leading to X
- [4] All 8 correct outputs: 0, 0, 0, 1, 0, 0, 0, 1
- [3] 6/7 correct outputs
- [2] 4/5 correct outputs
- [1] 2/3 correct outputs
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