Differences between Turing Machine and Finite Automaton:

Turing Machine (TM) and Finite Automaton (FA) are two computational models used in computer science. While they have similarities, there are several key differences between them. Let's explore these differences in detail:

1. Input Tape:
- In a Finite Automaton, the input is received on a read-only tape. The automaton can only read the symbols on the tape and cannot modify them.
- On the other hand, a Turing Machine has an input tape that is both readable and writable. This means that a Turing Machine can read symbols from the input tape and also write symbols on it.

2. Read/Write Capability:
- A Finite Automaton can only read the input symbols from the tape and make transitions between states based on those symbols. It does not have the ability to write or modify symbols on the tape.
- Conversely, a Turing Machine has the ability to both read and write symbols on its input tape. It can read the current symbol and write a new symbol in its place, allowing for modifications to the input as the machine proceeds.

3. Bi-Directional Movement:
- In a Finite Automaton, the movement on the tape is typically unidirectional. It can only move from left to right or right to left, depending on the automaton's design.
- A Turing Machine, however, has bi-directional movement on the input tape. It can move both to the left and right, allowing it to traverse the tape in either direction as required.

In summary, the main differences between Turing Machine and Finite Automaton lie in their input tape capabilities. A Turing Machine has a read/write input tape and bi-directional movement, whereas a Finite Automaton has a read-only input tape and unidirectional movement. These differences give Turing Machines greater computational power and flexibility compared to Finite Automata.