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Complete Table 1 to show the logic outputs for the lamps L1 and L6 - AQA - A-Level Physics - Question 2 - 2017 - Paper 8

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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 for L1 and L6

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Answer

Number shown on dieLogic inputsLogic outputs
BA
--------------------------------------------------
100
201
310
411
510
601
Reset 6 --> 111

Step 2

Deduce the simplest Boolean expression for L7

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Answer

The simplest Boolean expression for L7 can be expressed as:

L7=¬AL7 = \neg A where \neg represents the NOT operation.

Step 3

Draw the logic gate needed for the reset pin R

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To implement the required logic for the reset pin R, a logic circuit can be designed using:

  1. NOT gate that takes input from B.
  2. A two-input AND gate that receives inputs from B and C, with its output feeding into the reset pin R.

This configuration ensures the counter resets as needed.

Step 4

Complete the logic circuit in Figure 7 by adding AND, OR and NOT gates

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Answer

To complete the logic circuit:

  1. Add a NOT gate connected to input B.
  2. Add an AND gate that connects the outputs from inputs B and C.
  3. Connect both outputs (from the NOT gate and the AND gate) to an OR gate, which will then connect to outputs L3 and L4.

This setup allows for the proper operation of L3 and L4 based on the given conditions.

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