O-LevelComputer ScienceBoolean logic2210/12 · Oct/Nov 2021 · Q1111 Marks
Consider the following logic statement: X = (((A AND B) OR (NOT (B OR C))) NAND 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[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]
- (c)Identify two logic gates that are not included in the given logic statement. Logic gate 1 Logic gate 2[2]
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 (Oct/Nov 2021). The mark or mark type is shown in brackets.
- 11(a) One mark per each correct logic gate with correct input(s)
- 11(b) 4 marks for 8 correct outputs; 3 marks for 6/7 correct outputs; 2 marks for 4/5 correct outputs; 1 mark for 2/3 correct outputs Outputs for X: 1, 1, 1, 1, 1, 1, 0, 0
- 11(c) - NOR; - XOR / EOR
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