Figure 4 shows a logic system made of logic gates labelled 1 to 6
The logic system has inputs A and B and outputs X, Y and Z - AQA - A-Level Physics - Question 2 - 2022 - Paper 8
Question 2
Figure 4 shows a logic system made of logic gates labelled 1 to 6
The logic system has inputs A and B and outputs X, Y and Z.
**0.2.1** Write the simplest Boolean a... show full transcript
Worked Solution & Example Answer:Figure 4 shows a logic system made of logic gates labelled 1 to 6
The logic system has inputs A and B and outputs X, Y and Z - AQA - A-Level Physics - Question 2 - 2022 - Paper 8
Step 1
0.2.1 Write the simplest Boolean algebra expression for output X in terms of inputs A and B.
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Answer
To derive the Boolean expression for output X, we first need to analyze the logic gates leading to output X. According to the logic setup in Figure 4, output X is activated when either input A is true or when input B is false, thus the expression can be simplified to:
X=A+B
Step 2
0.2.2 State the name of logic gate 5 in Figure 4.
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The name of logic gate 5 in Figure 4 is the Exclusive OR (EOR) gate.
Step 3
0.2.3 Complete Table 1, the truth table for this logic system.
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Here's the completed truth table:
B
A
C
D
E
X
Y
Z
0
0
0
1
0
0
1
0
0
1
1
1
0
1
0
0
1
0
1
0
1
1
0
1
1
1
1
0
1
1
1
0
Step 4
0.2.4 Suggest a single logic gate that can replace the combination of gates 5 and 6 in this system.
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Answer
The combination of gates 5 and 6 can be replaced by a NAND gate.
Step 5
0.2.5 Which row identifies the outputs X, Y and Z?
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Answer
The row that identifies the outputs X, Y and Z is:
