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Complete the truth table for the XOR logic gate - AQA - GCSE Computer Science - Question 11 - 2023 - Paper 2

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Complete the truth table for the XOR logic gate. | A | B | A XOR B | |---|---|---------| | 0 | 0 | | | 0 | 1 | | | 1 | 0 | | | 1 | 1 | ... show full transcript

Worked Solution & Example Answer:Complete the truth table for the XOR logic gate - AQA - GCSE Computer Science - Question 11 - 2023 - Paper 2

Step 1

Complete the truth table for the XOR logic gate.

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Answer

ABA XOR B
000
011
101
110

In an XOR gate, the output is true (1) if and only if one of the inputs is true. Therefore, the completed truth table reflects these conditions accurately.

Step 2

State the type of logic gate labelled G1 in Figure 3.

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Answer

The logic gate G1 is an AND gate.

Step 3

Write a Boolean expression to show how the output D is calculated from the inputs A, B and C in Figure 3.

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Answer

The Boolean expression for the output D is given by:

D=AimesB+CD = A imes B + C

Here, the output D is true when both A and B are true (i.e., A AND B) or when C is true.

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