# 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

** **True or False? A 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?

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

** **True or False? Any single UNICODE character can be represented by two hexadecimal

** **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

** **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

** **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

** **True or False? A “vector” graphics image is composed of lines, shapes and fill colors rather than individual

** **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

** **[3 points] 11011012 = ?10 (Show all steps, circle final answer).

** **[3 points] 4710 = ?2 (Show all steps, circle final answer).

** **[3 points] 5328 = ?16 (Show all steps, circle final answer).

** **[3 points] 1110112 + 111012 = ?2 (Show all steps, circle final answer).

** **[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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