Moore machine output with a leading zero

In summary, the conversation discusses a question about a Moore machine with a given initial state and input string. The output resulting from the input string is 0101111101, which may lead to the conclusion that option 4 is the correct answer. However, there is uncertainty about the significance of the leading zero in the output and it is mentioned that it could potentially be a printing error. The final consensus is that option 4 should be chosen with caution.
  • #1
Lord Anoobis
131
22

Homework Statement


The question deals with a Moore machine of which I have omitted the diagram for reasons which will become apparent below. The initial state is ##q_0 / 0##. What is the output if the input string is aabbabaaa?
1) 101111101
2) 1101111101
3) 1010000010
4) None of the above.

Homework Equations


None.

The Attempt at a Solution


The trouble I'm having is this: the output that results from the given string is 0101111101 which leads me to the answer being 4 - none of the above, since the output string has to be longer than the input by one character. Options 2 and 3 are clearly incorrect. Option 1 is almost correct, save for the leading zero. When one encounters a situation like this is the leading zero truly significant in the answer or should it be discarded?
 
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  • #2
It's impossible to answer the question. The leading bit could be a sign bit or most significant bit which would make it the err most significant bit of the output.
 
  • #3
CWatters said:
It's impossible to answer the question. The leading bit could be a sign bit or most significant bit which would make it the err most significant bit of the output.
Exactly. There's no way of knowing if it may be a printing error. Looks like it'll be option 4 and hope for the best.
 
  • #4
If you are sure you haven't made a mistake.
 
  • #5
CWatters said:
If you are sure you haven't made a mistake.
Absolutely certain.
 

1. What is a Moore machine output with a leading zero?

A Moore machine output with a leading zero refers to a type of finite state machine where the output is represented by a leading zero digit. This is typically used in digital systems to represent the initial state of the machine.

2. How is a Moore machine output with a leading zero different from other types of finite state machines?

The main difference is that in a Moore machine with a leading zero, the output is determined solely by the current state of the machine, rather than the current state and input combination. This allows for a simpler and more efficient design in certain applications.

3. What are the advantages of using a Moore machine output with a leading zero?

One advantage is that it can simplify the design process, as the output is solely based on the current state. Additionally, it can reduce the number of states needed in the machine, leading to a more compact and efficient design.

4. How is a Moore machine output with a leading zero implemented in digital systems?

In digital systems, a Moore machine with a leading zero can be implemented using a combination of flip-flops and logic gates. The flip-flops store the current state, while the logic gates determine the output based on the current state. This implementation can vary depending on the complexity of the machine and its specific requirements.

5. Can a Moore machine output with a leading zero handle complex tasks?

Yes, a Moore machine with a leading zero can handle complex tasks as long as it is properly designed and implemented. However, in some cases, a more complex type of finite state machine may be more suitable for certain tasks. It is important to carefully consider the requirements and limitations of the task before deciding on the type of finite state machine to use.

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