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Computer Science
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3-byte binary value can be represented by 6 hexadecimal digits What is the smallest base in which the digits 7F could be a valid number? 

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

This exam has a total of 100 points possible. All questions are worth 1 point each unless otherwise noted.

For the true/false and multiple-choice questions, please circle the letter of your answers, e.g.:

Ex. 1:

T/F: Computer Science is an interesting and challenging topic. Ex. 2:

The topic of Computer Science is:

a) Killer b) Awesome c) Bogus  d) Interesting & challenging

 

  1. True or False? A 3-byte binary value can be represented by 6 hexadecimal digits.
  1. What is the smallest base in which the digits 7F could be a valid number? 

        a) binary b) base 3   c) octal      d) decimal   e) hexadecimal

  1. True or False? Any single UNICODE character can be represented by two hexadecimal
  1. How many unique values can be represented by 7 binary digits?

        a) 8 b) 16 c) 32    d) 64   e) 128    f) 256     g) 512     h) 1024

  1. What is the minimum number of binary digits required to represent 53 unique values?

          a) 3 b) 4 c) 5     d) 6     e) 7    f) 8     g) 9     h) 10

  1. In which kind of data compression is it acceptable to get back different data after the completion of the compression and decompression process?

         a) Absolute b) Partial c) Lossy   d) Lossless   e) zip

  1. True or False? A “vector” graphics image is composed of lines, shapes and fill colors rather than individual
  1. An RGB value of (0, 255, 255) (decimal values) represents what color?

        a) Red b) Green c) Blue d) Yellow e) Cyan f) Magenta g) Black h) White

  1. [3 points] 11011012 = ?10 (Show all steps, circle final answer).
  1. [3 points] 4710 = ?2 (Show all steps, circle final answer).
  1. [3 points] 5328 = ?16 (Show all steps, circle final answer).
  1. [3 points] 1110112 + 111012 = ?2 (Show all steps, circle final answer).
  1. [7 points] 1B16 - 538 = ?10

(Convert the two values given to 8B2C, changing the subtraction to addition, then perform a binary addition, then convert the final 8B2C answer back to base 10).

Show all steps, circle final answer.

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