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Questions and Answers
What are the tuples involved in a Moore machine?
Q, q0, Σ, O, δ, λ
The Moore machine has a total of ________ states.
5
Which state is considered as the Initial State in the provided Moore machine?
q0
Match the Present State with its corresponding Output value:
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Study Notes
Moore Machine Components
- A Moore machine consists of 6 tuples: {Q, q0, Σ, Ο, δ, λ}
- Q is the set of states, in this case: {q0, q1, q2, q3, q4}
- q0 is the initial state
Input and Output Alphabets
- Σ (input alphabet) is the set of possible inputs: {a, b}
- Ο (output alphabet) is the set of possible outputs: {0, 1}
Output Mapping
- Output 0 is associated with input a
- Output 1 is associated with input b
Transition Rules (δ)
- Transition rules are defined as Q x Σ = Q, meaning every transition must follow the provided rules
- The transition table specifies the next state and output for each present state and input
Transition Table
- The transition table defines the behavior of the Moore machine for each possible input and state
- The table has the following structure:
- Present State: the current state of the machine
- Input a: the next state and output when input a is received
- Input b: the next state and output when input b is received
- Output: the output corresponding to the current state and input
Specific Transition Rules
- From q0: input a moves to q2 with output 1, input b moves to q1 with output 1
- From q1: input a moves to q3 with output 0, input b moves to q4 with output 0
- From q2: input a moves to q4 with output 1, input b moves to q1 with output 1
- From q3: input a moves to q4 with output 1, input b moves to q3 with output 1
- From q4: input a moves to q4 with output 0, input b moves to q4 with output 0
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Description
Design a Moore machine with 6 tuples and draw its transition table according to the given rules. Understand the concept of Q, q0, Σ, Ο, δ, and λ in a Moore machine.