Why does incrementing a Java int eventually result in a negative number?

Question

I was trying to check different inputs and creating infinite loops in java and I found that once the int is getting incremented over the maximum limit it turns

Answer 1

According to the documentation:

The int data type is a 32-bit signed two's complement integer. It has a minimum value of -2,147,483,648 (0x80000000) and a maximum value of 2,147,483,647 (0x7FFFFFFF) (inclusive)

So when you add one to an integer's max value:

0x7FFFFFFF + 0x00000001 = 0x80000000 (-2,147,483,648)