quiz2-sol - CS 173: Discrete Structures, Fall 2010 Quiz 2...

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Unformatted text preview: CS 173: Discrete Structures, Fall 2010 Quiz 2 Solutions 1. (1 point) Give the day and time when your assigned discussion section meets. State explicitly if you have switched sections recently. Solution: The right answer varies from person to person. 2. (4 points) Compute the following quantities: ⌊− 5 . 7 ⌋ = Solution: − 6 ∑ n k =1 k = Solution: n ( n +1) 2 gcd(32 , 12) = Solution: 4 lcm(6 , 38) = Solution: 6 × 19 = 114 3. (5 points) Circle the appropriate label for each of the following statements. (a) 0 | 7 True False (b) 12 | − 48 True False (c) For any real number x , ⌈ x ⌉ − ⌊ x ⌋ = 1 . True False (d) ¬ ( p → q ) ≡ p ∧ ¬ q. True False (e) For all real numbers x , ⌈⌊ x ⌋⌉ = ⌊ x ⌋ . True False 4. (3 points) Complete the following definition using precise mathematical English and/or notation. Do not use division, mod, remainder, or similar operations....
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This note was uploaded on 11/08/2010 for the course 173 CS taught by Professor Fleck during the Spring '10 term at University of Illinois at Urbana–Champaign.

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quiz2-sol - CS 173: Discrete Structures, Fall 2010 Quiz 2...

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