O-LevelComputer ScienceBoolean logic2210/11 · May/June 2021 · Q610 Marks
Consider the logic statement: X = (((A AND B) OR (C AND NOT B)) XOR NOT C)
- (a)Draw a logic circuit to represent the given logic statement. Do not attempt to simplify the statement. All logic gates must have a maximum of two inputs. [Figure 6.1][6]
- (b)Consider the completed truth table for the given logic statement. Row A B C Working space X number 1 0 0 0 0 2 0 0 1 1 3 0 1 0 0 4 0 1 1 1 5 1 0 0 0 6 1 0 1 1 7 1 1 0 0 8 1 1 1 1 There are four errors in the truth table in the output (X) column. Identify the four incorrect outputs. Write the row number to identify each incorrect output. Row ... Row ... Row ... Row ...[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 2021). The mark or mark type is shown in brackets.
- [6] (a) One mark per each correct logic gate, with correct input: [Diagram of logic circuit]
- [4] (b) Row 1 Row 3 Row 4 Row 5
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