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3. Convert each of the following from base 16 to base 2' [5 points] (a) BADD (b) 123 4. Convert each of the following from base 10 to base 2. [5 points] (a) 45 (c) 777 5. What is 144 mod 7? [2.5 points] 1. Give a bigO estimate for each of these functions. For the function g in your estimate that f(X) is O(g(x)), use a simple function g of the smallest order (Hints: The leading term could be helpful for giving the big-O estimate). [15 points] (a) nlgggn2+ 1)+ n2 logn (b) (n log n + i + (log n +1)(n2 +1) 2. Convert each of the following from base 2 to base 10. [7.5 points] (a) 10111 (b) 110110110 (0) 1010110101