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Electrical and Computer Engineering 2277A/B Lecture 26: Detection of Overflow Errors

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scarlethound445
20 Jan 2021
School
Western University
Department
Electrical and Computer Engineering
Course
Electrical and Computer Engineering 2277A/B
Professor
Duane Jacques

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Document Summary

For addition of signed integers , an overflow has occurred if: , , and , Msb( ) = msb( ) = 0 and msb( ) = 1: , , and. Msb( ) = msb( ) = 1 and msb( ) = 0. Msb( ) = msb( ) = msb( ) = 0 no overflow. Msb( ) = msb( ) msb( ) = 1 overflow. Msb( ) = msb( ) msb( ) = 0 overflow. Msb( ) = msb( ) = msb( ) = 1 no overflow.

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Related Questions

16. The following method takes two integer arrays and a target integer as input. It is supposed to return true if there is an element from the first array and an element from the second array whose sum is the target integer. For instance, given arrays a=[1,4,3] and b=[2,6,3] and target 7, the method should return true because a[1]+b[2] = 4+3 = 7. However, if the target is 8, it should return false, as no element in array a, added with an element of array b results in 8. What should be the body of this method? public static boolean foo (int[] a, int[] b, int target) // What should go here? (A) for (int i = 0; i < a.length + b.length; i++) if(a[i] + b[i] == target) return true; else return false; (B) for (int i = 0; i

Your program will take an arithmetic expression as a String input. For Example:

 

  • “1+2*(3/4)”

 

  • “1+2*[3*3+{4–5(6(7/8/9)+10)–11+(12*8)]+14”

 

  • “1+2*[3*3+{4–5(6(7/8/9)+10)}–11+(12*8)/{13+13}]+14”

 

Program

 

Your program will determine whether the open brackets (the square brackets, curly braces and the parentheses) are closed in the correct order.

 

Outputs:

 

Output 1

 

1+2*(3/4)

This expression is correct.

 

Output 2

 

1+2*[3*3+{4–5(6(7/8/9)+10)–11+(12*8)]+14

This expression is NOT correct.

Error at character # 10. ‘{‘- not closed.

 

Output 3

 

1+2*[3*3+{4–5(6(7/8/9)+10)}–11+(12*8)/{13+13}]+14

This expression is correct.

 

Output 4

 

1+2]*[3*3+{4–5(6(7/8/9)+10)–11+(12*8)]+14

This expression is NOT correct.

Error at character # 4. ‘]‘- not opened.

Task 1

Solve the above problem using an array-based stack.

 

Task 2

Solve the above problem using a linked list-based stack.

22. Write a method removeNegatives which takes as input an array of int and returns a new array in which only the non-negative values are kept. For example, if the original array contains 10 -2 0 4 -1, your method should return an array of length 3 containing 10 0 4.