When a long integer is cast into a short one, what happened?

Question

I use java to copy one long integer y to a short integer x:

long y = 40002;
short x = (short) y;
System.out.println(\"x now equals \" + x);

Answer 1

Integer overflow happened.

A short is two signed bytes, which means that Short.MAX_VALUE is 2¹⁵-1, which is 32,767. "Larger" values logically "wrap around" into the negative range.

In this case the excess amount is 40,002 - 2¹⁵ = 7234
Short.MIN_VALUE is -2¹⁵ = -32,768
-32,768 + 7234 = -25,534

which is the number you're wondering about.