Enter the maximum value, current value, and increment into the calculator to determine the overflow error. This calculator helps to identify when an overflow condition occurs in computing.

Overflow Error Formula

The following formula is used to calculate the overflow error.

OE = (CV + I) - MV

Variables:

  • OE is the overflow error
  • CV is the current value
  • I is the increment value
  • MV is the maximum value that can be held without overflow

To calculate the overflow error, add the increment value to the current value and then subtract the maximum value. If the result is positive, an overflow error has occurred.

What is an Overflow Error?

An overflow error in computing occurs when an arithmetic operation exceeds the maximum size that can be represented within a given number of bits. This typically happens in fixed-size data structures like integers in programming languages. When the result of an operation is too large to be stored, it results in an overflow error, which can lead to unexpected behavior or system crashes.

How to Calculate Overflow Error?

The following steps outline how to calculate the Overflow Error.


  1. First, determine the maximum value (MV) that can be held without overflow.
  2. Next, determine the current value (CV) before the increment.
  3. Next, determine the increment value (I) that will be added to the current value.
  4. Next, gather the formula from above = OE = (CV + I) – MV.
  5. Finally, calculate the Overflow Error (OE). If the result is positive, an overflow has occurred.
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

maximum value (MV) = 255

current value (CV) = 250

increment value (I) = 10