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O-LevelComputer ScienceBoolean logic2210/12 · Oct/Nov 2015 · Q416 Marks

Convert the following two hexadecimal numbers into binary: FA7 D3E FA7 D3E

  1. (a)(i)Convert the following two hexadecimal numbers into binary: FA7 D3E FA7 D3E[4]
  2. (a)(ii)Now perform the AND (logic) operation on each corresponding pair of binary bits in the two numbers from part (i).[2]
  3. (a)(iii)Convert your answer in part (ii) into hexadecimal.[2]
  4. (b)(i)The following code shows HTML 'tag' pairs on either side of the text stating the colour that each creates. <font color "#FF0000"> RED </font> <font color "#00FF00"> GREEN </font> <font color "#0000FF"> BLUE </font> <font color "# X "> YELLOW </font> <font color "# Y "> MAGENTA </font> <font color "# Z "> CYAN </font> Yellow is a combination of red and green, magenta a combination of red and blue and cyan a combination of green and blue. State what 6-digit hexadecimal values should replace X, Y and Z in the above code. X Y Z[3]
  5. (b)(ii)Describe how other colours, such as a darker shade of blue, are created.[2]
  6. (c)(i)1A-16 - C5 – 22 – FF – FF is an example of a MAC address. Identify what the first six and last six hexadecimal digits represent. First six digits Last six digits[2]
  7. (c)(ii)State why MAC addresses are used.[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.

  1. [2] FA7: 1111 1010 0111 (all correct)
  2. [1] FA7: (2 correct conversions)
  3. [2] D3E: 1101 0011 1110 (all correct)
  4. [1] D3E: (2 correct conversions)
  5. [2] 1101 0010 0110 (all correct) – Follow through
  6. [1] (2 correct conversions) – Follow through
  7. [2] D26 (all correct) – Follow through
  8. [1] (2 correct conversions) – Follow through
  9. [1] (X) FF FF 00
  10. [1] (Y) FF 00 FF
  11. [1] (Z) 00 FF FF
  12. [1] hex values between 0 to F are combined together to create a hex code
  13. [1] different combinations in hex codes will create different shades/tones/colours
  14. [1] First six digits: manufacturer code/manufacturer ID
  15. [1] Last six digits: serial number/serial ID of device/product
  16. [1] Allows all devices to be uniquely identified

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About this question

Topic
Boolean logic, O-Level Computer Science (syllabus 2210). Structured question, 16 marks.
Source
O-Level Computer Science, Oct/Nov 2015 Paper 1 Variant 2, question 4.

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