Draw the symbol for an XOR logic gate and complete the truth table for it. XOR logic gate symbol: Truth table: A B X 0 0 0 1 1 0 1 1
- (a)Draw the symbol for an XOR logic gate and complete the truth table for it. XOR logic gate symbol: Truth table: A B X 0 0 0 1 1 0 1 1[2]
- (b)(i)Consider the logic rules in the following table: Input | Binary value | Description ------|--------------|-------------------- A | 0 | operator not present A | 1 | operator present B | 0 | ignition key present B | 1 | ignition key not present C | 0 | operator code correct C | 1 | operator code not correct A crane is a machine with a long arm used to lift heavy objects. The crane will only move: • if the operator is present and • either the ignition key is present, or the operator code is correct. The crane moving is represented by X = 1. Write the logic expression for the crane moving. X = ..................................................................................................................[2]
- (b)(ii)Complete the truth table for the crane moving. 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 2025). The mark or mark type is shown in brackets.
- [2] (a) One mark for the logic gate and one mark for the truth table XOR logic gate symbol: (diagram of XOR gate) Truth table: A B X 0 0 0 0 1 1 1 0 1 1 1 0
- [2] (b)(i) One mark per mark point MP1 A AND MP2 (NOT B OR NOT C) // NOT(B AND C) // (B NAND C) Or One mark per mark point MP3 A AND NOT B MP4 OR A AND NOT C Example answers (X =) A AND (NOT B OR NOT C) // A AND NOT (B AND C) // A AND (B NAND C) (X =) A AND NOT B OR A AND NOT C
- [4] (b)(ii) Four marks for eight correct outputs Three marks for six or seven correct outputs Two marks for four or five correct outputs One mark for two or three correct outputs A B C X 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0
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