Question

What is arithmetic overflow? When does it occur and how can it be detected? Explain with...

  1. What is arithmetic overflow? When does it occur and how can it be detected? Explain with an example. – 15 pts
  2. Fill in the blanks by doing necessary conversions (MB= megabyte, Mb = Megabit, KB= Kilobyte, TB = Terabyte, Tb = Terabit, GB = Gigabyte). Show step by step computations for each – 25 pts
    1. 10        MB      = ________ KB
    2. 1000    MB      = ________ Mb
    3. 1000    Mb       = ________ KB
    4. 1          Tb        = ________ GB
    5. 1          TB       = ________ GB
  3. Do the following calculations using two’s complement arithmetic, state if there is an overflow? 15 pts
  1. 10110001                   b)         11000111

-00100001                             +11001111

  1. What are the decimal equivalents of the following unsigned binary numbers values? Show all calculation steps. – 15 pts
    1. 110011002
    2. 111110102
    3. 100110012
  2. Convert the numbers given in base 10 to base 2 (decimal to binary) using 8 digits for base binary (unsigned representation) – 15 pts
    1. 47
    2. 123
    3. 93
  3. Define dedicated and general-purpose computer. Explain the difference between them with an example. – 15 pts
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