Draw the table for this DFA

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Draw the table for this DFA

### Finite State Machine Diagram

This diagram represents a finite state machine (FSM) with six states: q0, q1, q2, q3, q4, and q5. Some of these states (q1, q2, q4) are marked with double circles, indicating they are accept states. The transitions between these states are labeled with binary values (0 and 1).

#### Initial State
- **q0**: This is the starting state. From q0:
  - Transition to q1 on input 1.
  - Transition back to itself on input 0.

#### Transitions Between States
- **q1**: Accept state. From q1:
  - Transitions to q2 on input 1.

- **q2**: Accept state. From q2:
  - Transitions back to itself on input 0.
  - Transitions to q5 on input 1.

- **q3**: From q3:
  - Transition to q4 on input 1.
  - Transition to q0 on input 0.

- **q4**: Accept state. From q4:
  - Transitions to q5 on input 1.
  - Transition to q2 on input 0.

- **q5**: From q5:
  - Loops back to itself on inputs 0 or 1.
  - Transition to q2 on input 0.

#### Additional Characteristics
- The FSM allows for looping and self-transitions at several states, offering multiple paths through the diagram depending on the input sequence.

This FSM can be used to recognize specific patterns in binary strings and serves as an illustrative example in computational theory for how state machines process input sequences to reach accept states.
Transcribed Image Text:### Finite State Machine Diagram This diagram represents a finite state machine (FSM) with six states: q0, q1, q2, q3, q4, and q5. Some of these states (q1, q2, q4) are marked with double circles, indicating they are accept states. The transitions between these states are labeled with binary values (0 and 1). #### Initial State - **q0**: This is the starting state. From q0: - Transition to q1 on input 1. - Transition back to itself on input 0. #### Transitions Between States - **q1**: Accept state. From q1: - Transitions to q2 on input 1. - **q2**: Accept state. From q2: - Transitions back to itself on input 0. - Transitions to q5 on input 1. - **q3**: From q3: - Transition to q4 on input 1. - Transition to q0 on input 0. - **q4**: Accept state. From q4: - Transitions to q5 on input 1. - Transition to q2 on input 0. - **q5**: From q5: - Loops back to itself on inputs 0 or 1. - Transition to q2 on input 0. #### Additional Characteristics - The FSM allows for looping and self-transitions at several states, offering multiple paths through the diagram depending on the input sequence. This FSM can be used to recognize specific patterns in binary strings and serves as an illustrative example in computational theory for how state machines process input sequences to reach accept states.
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