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By using the BigInteger class there is no chance to overflow (see section on BigInteger class) but the performance is degraded so it should be used only on really large operations
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Subtraction

Care must be taken in subtraction operations as well as these can overflow as well.

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int a,b,result;

long temp = (long)a-(long)b;
if(long < Integer.MIN_VALUE || long > Integer.MAX_VALUE)
throw ArithmeticException;
else
result = (int) temp;

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Multiplication

This noncompliant code example, can result in a signed integer overflow during the multiplication of the signed operands a and b. If this behaviour is unanticipated, the resulting value may lead to undefined behaviour

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int a,b,result
//do stuff
result = a*b;//May result in overflow

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Compliant Code Example

Since in this platform the size of type long (64 bits) is twice the size of type int (32 bits) we should perform the multiplication in terms of long and if the product is in the integer range we downcast the result to int

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int a,b,result
result = a/b;

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Compliant Code Example

if(a == Integer.MIN_VALUE && b == -1)
throw ArithmeticException;//May be Integer.MIN_VALUE again????
else
result = a/b;//safe operation

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