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1.  This question concerns the difference between analog and digital systems, and will require some research in the library and/or on the Internet. Each part of this question requires a written answer of 4-5 sentences (at most half a. page) in words understandable by a typical Collingwood supporter.

(a) Explain how audio sound is recorded onto, stored on and played back front a compact disc (CD).
(b) Explain how audio sound is recorded onto, stored on and played back from a vinyl record.
(c) Which technology (digital CDs or analog vinyl records) do you think is superior? In what respects is it superior? Justify your choice.

2. Captain Janeway sends an away team to check out a completely new, uncharted planet, and they discover the ruins of an ancient pre-warp civilisation. Artifacts and pictures suggest the creators of the civilisation were four legged beings, that had one long tentacle coming out of their back, with the tentacle branching at the end with a number of grasping "fingers". Many of the artifacts contain inscriptions that appear to be mathematical, and the first to be translated (with limited away-team gear) conies out as the equation

5x2 - 50 x + 125 = 0

with the indicated solutions x = 5 and x = 8. The first solution looked right, but the second was puzzling. Seven-of-Nine (as she often does) quickly came up with an explanation: like that of humans, the base of the number system for this civilisation is equal to the total number of fingers. So how many fingers did these beings have?

3. Use the theorems of Boolean algebra to simplify each of the following logic functions. Your final answers should be in sum-of-products form.

851_logic functions.jpg

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