Avoiding Overflow Condition

Checking for overflow conditions have always been tedious to remember logic. Lets deep dive !

Condition for Not Overflowing

$$(number\times 10)+unit\_digit<\text{INT\_MAX}$$

But,

• But if you’re storing number x 10 + unit_digit in a variable , at some point the variable will overflow.
  • If there is a continuous addition to the LHS of this equation.
• Question we are trying to answer here is :-
  • Can we apply some kind of CHECK to avoid this overflow.
• Well we can just apply some maths and the above equation can be written like this :-

$$number<\frac{\text{INT\_MAX}-unit\_digit}{10}$$

Well ! Now

• Now before storing the answer of number x 10 + unit_digit a check can be introduced.
• This would make sure, the condition is NOT OVERFLOWED