Introduction to Computing Systems: From Bits & Gates to C & Beyond
Introduction to Computing Systems: From Bits & Gates to C & Beyond
3rd Edition
ISBN: 9781260424751
Author: PATT, Yale
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 2, Problem 21E

Explanation of Solution

Indication of overflow:

  • When two positive numbers are added, the result should be positive.
  • But when the user adds two large positive integers, the negative result will be produced.
  • Example: Consider the five-bit 2’s complement data type and the user attempts to add “+10” and “+12”,
    • Using “5” bits, the largest positive value can be represented is “+15”.
    • But, the result of the adding “+10” and “+12” is larger than the positive result that the ALU can produce using “5” bits.
    • When adding the positive numbers “10” and “12’, the carry is created at the Most Significant Bit (MSB) but MSB is used to indicate the sign of the positive integer...

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