Applications of Discrete Mathematics and Statistics in IT

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Complete the following in a 1-page paper.
1. The following is a message in ASCII. What does it say?

010010010010000001110111011000010110111001110100001000000111010001

101111001000000110011101100101011101000010000001100001011011100010

000001000001001000000110100101101110001000000111010001101000011010

0101110011001000000110001101101100011000010111001101110011

2. The following is a message coded in ASCII using one byte per character and then represented in hexadecimal notation. What is the message?

4469736372657465204D617468656D617469637320697320434F4F4C21

3. Convert each of the following binary representations to its equivalent base-ten representation. Show your work step by step.

  • 10001
  • 0000111
  • 01011100
  • 110101

4. Convert each of the following base-ten representations to its equivalent two’s complement in 7 bits. Show all of your work.

  • 12
  • -2
  • -8
  • 22
  • 0

Define the highest and lowest integer that can be represented in this 7-bit two’s complement representation.

5. What bit patterns are represented by the following hexadecimal notations? Show all of your work.

 

  • 9A88
  • 4AF6
  • DA
  • AD
    • 12 years ago
    • 10
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