Question

1. Overflow. Find out what happens when you try to add two numbers whose sum exceeds the maximum integer value (just over two billion, one hundred million). Test two billion plus two billion. What result did you get? Explain why overflow happens on a computer.
2. Explain inexact results on integer division such as: 2 / 5 = 0 and 51 / 25 = 2

Answer 1

SOLUTION

EXPLANATION

WE GET A NEGAIVE NUMBER, BECAUSE WHEN OVERFLOW OCCURS AT 2'S COMLEMENT AND IT AGAIN STARTS FROM NEGATIVE BOUNDARY. LIKE FOR INT RANGE IS (-2147483648,2147483647). SO WHEN 2 BILLION + 2 BILLION COMES. IT WILL ADD TILL MAX VALUE THEN STARTS ROTATING i.e. ADDING IN NEGATIVE BOUNDARY.

NOW, IN 2B+2B, [2B +147483647 + 1852516353 = 2147483647 +1852516353]. NOW AFTER ADDING 1 OVERFLOW OCCURS AND IT STARTS ROTATING AND IT BECOMES [-2147483648 + 1852516352 = -294967296]

EXPLANATION

WE GET INEXACT RESULT ON INTEGER DIVISION BECAUSE. INTEGERS ARE THE NUMBERS THAT CAN BE WRITTENED WITHOUT FRACTIONAL COMPONENT. SO WHILE DIVIDING A NUMBER. IT ONLY CONSIDERS ITS NON-FRACTIONAL PART AND EXCLUDES ITS FRACTIONAL COMPONENT. FOR 2/5 ANSWER IS 0.4, BUT IT EXCLUDES .4 AND KEEPS ONLY 0 THAT IS ITS INTEGER VALUE. FOR 51/25 = 2.04, IT ONLY KEEPS INT VALUE THAT IS 2.

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