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Figure 1 shows the basic layout for a Johnson decade counter - AQA - A-Level Physics - Question 1 - 2019 - Paper 8

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Figure 1 shows the basic layout for a Johnson decade counter. The main outputs are shown as Q0 to Q9. Figure 2 shows part of the timing diagram for a Johnson decade... show full transcript

Worked Solution & Example Answer:Figure 1 shows the basic layout for a Johnson decade counter - AQA - A-Level Physics - Question 1 - 2019 - Paper 8

Step 1

Complete Figure 2 to show the logic states of Q0, Q1 and Q2

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Answer

To complete Figure 2, we need to determine the state of each output in response to the clock pulses shown.

  1. Determine Q0 Logic State:

    • The output Q0 toggles on every clock pulse. Thus:
      • For pulse 1: Q0 = 1
      • For pulse 2: Q0 = 0
  2. Determine Q1 Logic State:

    • Q1 toggles after Q0. So:
      • For pulse 1: Q1 = 0
      • For pulse 2: Q1 = 1
  3. Determine Q2 Logic State:

    • Q2 toggles after Q1. Hence:
      • For pulse 1: Q2 = 0
      • For pulse 2: Q2 = 0

This gives the following logic states:

  • Q0: 1, 0
  • Q1: 0, 1
  • Q2: 0, 0

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