CS 3333 Mathematical Foundations Fall 2020
Homework 3 (80 points)
Your name___________________ Your abc123___________
Submission:

  1. Submit a single (PDF or word) file through Blackboard.
  2. You can either edit the Word file directly or write down your solution on the printed
    PDF.
  3. Scan your solution and submit it. If you do not have a scanner, you can use your mobile
    phone to take pictures or scan it using some apps, e.g. Adobe Scan.
  4. If there is any plagiarism, you will lose all points on the questions at first time. In next,
    you will lose all points in the whole homework.
  5. You can submit your homework 3 times before the deadline. The late submission will
    lose 15% of the total points in the assignment.
    Questions
  6. Convert the decimal expansion of each of these integers to a binary expansion. (10 pts)
    a. 193
    b. 3582
  7. Convert the binary expansion of each of these integers to a decimal expansion. (10 pts)
    a. (11111010)2
    b. (1011.011)2
  8. Convert the octal expansion of each of these integers to a binary expansion. (10 pts)
    a. (223)8
    b. (4512)8
  9. Convert the octal expansion of each of these integers to a decimal expansion. (10 pts)
    a. (223)8
    b. (4512)8
  10. Convert the binary expansion of each of these integers to an octal expansion. (10 pts)
    a. (11111010)2
    b. (00101111)2
  11. Convert the hexadecimal expansion of each of these integers to a binary expansion. (10
    pts)
    a. (80E)16
    b. (ABBA)16
  12. Convert the hexadecimal expansion of each of these integers to a decimal expansion. (10
    pts)
    a. (80E)16
    b. (ABBA)16
  13. Convert the binary expansion of each of these integers to a hexadecimal expansion. (10
    pts)
    a. (11111010)2
    b. (00101111)2