What Actually Happens when I try to store Data exceeding the Limit.

I noticed something that when I tried printing factorial of number whose value was out of bounds of the data type ; It displayed zeros continously when i gave the print command ! For instance , factorial of 100 ;

Why doesn’t the compiler rather shows an Error that the data you are trying to store is excceeding the limit ??

Problem : FCTRL2 Problem - CodeChef

Solution :CodeChef: Practical coding for everyone

When the number goes out of bounds, for eg, let the range of integers be -1000 to 1000, inclusive. If you store 1001, then it will take value -1000. If you store 1002, it takes value -999. This is what actually happens.
You might be getting 100! as 0. This is because, while computing 100!, number went out of bounds and took the value 0 (precisely, 34! is saved as 0). Now any number multiplied by 0 is 0. So all factorials>=34 will give 0 as answer, and you might be wondering the reason why.

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Thanks A Lot ! @ucntstopme