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For the ring counter shown in the figure below, is the initial state of counter Q3 Q2Q1 Q0 = 0011. This counter is a ______
- a)Mod 4 counter
- b)Mod 16 counter
- c)Mod 6 counter
- d)Mod 10 counter
Correct answer is option 'A'. Can you explain this answer?
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For the ring counter shown in the figure below, is the initial state o...
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For the ring counter shown in the figure below, is the initial state o...
Answer:
Introduction:
In digital electronics, a ring counter is a type of shift register composed of flip-flops connected in a ring. The output of one flip-flop is connected to the input of the next flip-flop, forming a loop. The ring counter is capable of shifting its state by one position to the right or left on each clock cycle.
Given Information:
- The initial state of the counter is Q3 Q2Q1 Q0 = 0011.
- We need to determine the modulus of the counter.
Understanding the Modulus:
The modulus of a counter is defined as the number of states that the counter can sequence through before it repeats. It represents the number of unique binary patterns that the counter can produce.
Analysis:
To determine the modulus of the given ring counter, we need to count the number of unique states it can sequence through.
State Transition:
Let's analyze the state transition of the ring counter starting from the given initial state.
- Initial State: 0011
- Clock Cycle 1: 1001
- Clock Cycle 2: 1100
- Clock Cycle 3: 0110
- Clock Cycle 4: 0011 (repeats)
Counting Unique States:
From the state transition analysis, we can observe that the ring counter sequences through a total of 4 unique states before it repeats. These states are:
0011, 1001, 1100, 0110
Determining the Modulus:
The number of unique states is equal to the modulus of the counter. In this case, there are 4 unique states, so the modulus of the counter is 4.
Conclusion:
Based on the analysis, we can conclude that the given ring counter is a Mod 4 counter because it can sequence through 4 unique states before it repeats.
Introduction:
In digital electronics, a ring counter is a type of shift register composed of flip-flops connected in a ring. The output of one flip-flop is connected to the input of the next flip-flop, forming a loop. The ring counter is capable of shifting its state by one position to the right or left on each clock cycle.
Given Information:
- The initial state of the counter is Q3 Q2Q1 Q0 = 0011.
- We need to determine the modulus of the counter.
Understanding the Modulus:
The modulus of a counter is defined as the number of states that the counter can sequence through before it repeats. It represents the number of unique binary patterns that the counter can produce.
Analysis:
To determine the modulus of the given ring counter, we need to count the number of unique states it can sequence through.
State Transition:
Let's analyze the state transition of the ring counter starting from the given initial state.
- Initial State: 0011
- Clock Cycle 1: 1001
- Clock Cycle 2: 1100
- Clock Cycle 3: 0110
- Clock Cycle 4: 0011 (repeats)
Counting Unique States:
From the state transition analysis, we can observe that the ring counter sequences through a total of 4 unique states before it repeats. These states are:
0011, 1001, 1100, 0110
Determining the Modulus:
The number of unique states is equal to the modulus of the counter. In this case, there are 4 unique states, so the modulus of the counter is 4.
Conclusion:
Based on the analysis, we can conclude that the given ring counter is a Mod 4 counter because it can sequence through 4 unique states before it repeats.
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For the ring counter shown in the figure below, is the initial state of counter Q3 Q2Q1 Q0 = 0011. This counter is a ______a)Mod 4 counterb)Mod 16 counterc)Mod 6 counterd)Mod 10 counterCorrect answer is option 'A'. Can you explain this answer?
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