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c# - How to check OverflowException in low-level multiply operation?

I want to make low-level multiplication two digits with overflow checking, I know that c# has "checked block" like this:

checked {
  int y = 2;
  int x = 2147483647 * y;
  Console.WriteLine(x);
}

But I'm using bit shiting operations, where "checked block" does not work. So, how can I check overflow exception with such code?

int a = 2;
int b = 2147483647;
int result = 0;
while(b!=0){
    if((b & 0x1) == 0x1){
        result += a;
    }
    a = a << 1;
    b = b >> 1;
}
System.out.println(result);

And my second question: Is standard multiply operation "*" a low-level operation?


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