1 / 11

Understanding Finite Automata: Applications and Implementations

Learn about Finite State Machines and their applications in switching circuits, control systems, and communication protocols. Explore examples like binary addition and Caesar's Cipher, with Java implementation of decrypting machines.

lane-beard
Télécharger la présentation

Understanding Finite Automata: Applications and Implementations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Finite Automata (Finite State Machines)

  2. Basic Structure • A black box with a number of input and output ports. • Synchronous operation (discrete sampling) • Finite number of internal states • Applications: Switching circuits, control systems, communication protocols

  3. 0 0 0 0 0 Example: A Counter 1 1 1 1 1 q0 q1 q2 q3 q4

  4. 0 0 0 0 0 State-Assigned Outputs(Moore) 1 1 1 1 1 q0/0 q1/1 q2/2 q3/3 q4/4

  5. 0/0 0/1 0/2 0/3 0/4 Transition-Assigned Outputs (Mealy) 1/0 1/1 1/2 1/3 1/4 q0 q1 q2 q3 q4

  6. Binary Addition 1 0 0 1 1 010011 011001 1 0 1 1 0 0

  7. 11/0 00/0 01/1 10/1 01/0 10/0 11/1 q0 q1 00/1 A Binary Adder

  8. A Combination Lock A-Z qf/N A-Z A, B, D-Z A-H, J-Z A-C, E-Z Reset I D C q0/N q1/N q2/N q3/Y Reset Reset Reset Reset

  9. Caesar's Cipher • A B C D E F G H I J K L M • D E F G H I J K L M N O P • N O P Q R S T U V W X Y Z • Q R S T U V W X Y Z A B C • UHWXUQ WR URPH RETURN TO ROME

  10. D/A, E/B, F/C, …, A/X, B/Y, C/Z q0 A Decrypting Machine

  11. Java Implementation FiniteAutomaton MealyAutomaton MooreAutomaton

More Related