Complete Table 1 to show the logic outputs for the lamps L1 and L6 - AQA - A-Level Physics - Question 2 - 2017 - Paper 8
Question 2
Complete Table 1 to show the logic outputs for the lamps L1 and L6.
| Number shown on die | Logic inputs | Logic outputs |
|---------------------|--------------|---... show full transcript
Worked Solution & Example Answer:Complete Table 1 to show the logic outputs for the lamps L1 and L6 - AQA - A-Level Physics - Question 2 - 2017 - Paper 8
Step 1
Complete Table 1 to show the logic outputs for the lamps L1 and L6.
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Answer
Number shown on die
Logic inputs
Logic outputs
B
A
---------------------
--------------
---------------
1
0
0
2
0
1
3
1
0
4
1
1
5
1
1
6
0
1
Reset 6 --> 1
Step 2
Deduce the simplest Boolean expression that can be used to show how output L7 can be controlled by the logic inputs.
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Answer
The simplest Boolean expression for output L7 can be represented as:
L7=NOTA
Step 3
Draw on Figure 6 the logic gate needed and the connections required from the outputs to the reset pin R on the counter so that the counter cycles as required.
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Answer
The logic needed includes:
A connection for the reset pin R from inputs B and C, which can be represented as an AND gate that allows resetting when both B and C are high.
Step 4
Complete the logic circuit in Figure 7 by adding AND, OR and NOT gates.
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Answer
Add a NOT gate from input B.
Add an AND gate connecting inputs B and C.
Connect both outputs to an OR gate, which will control the output for L3 and L4 based on the conditions.
