<s>[INST] Here is the code for a DFA that recognizes binary numbers using the regex pattern 0*1*:

```rust
use std::io;

fn main() {
    println!("Enter a binary number");
    let mut input = String::new();
    io::stdin().read_line(&mut input).unwrap();

    let input: Vec<char> = input.trim().chars().collect();

    let mut position = 0;

    let mut state = 1; 

    for c in input {
        match state {
            1 => {
                if c == '0' {
                    state = 1;
                } else if c == '1' {
                    state = 2;
                } else {
                    state = 4;
                }
            },
            2 => {
                if c == '0' {
                    state = 4;
                } else if c == '1' {
                    state = 2;
                } else {
                    state = 4;
                }
            },
            4 => {
                println!("Invalid input");
                break;
            },
            _ => unreachable!(),
        }
    } 

    match state {
        1 | 2 => println!("Valid binary number"),
        _ => println!("Invalid input"),
    }
}
```

But I want to handle floating point numbers too, so I need to match the regex pattern 0*1*.0*1*. I've tried to add another state, but I'm not getting the desired results. Can anyone help?[/INST]