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Please write this in pseudocode Problem 3. (30p) Given a positive integer n, consider the algorithm that finds the number of digits in its binary
Please write this in pseudocode
Problem 3. (30p) Given a positive integer n, consider the algorithm that finds the number of digits in its binary representation. Example: 8 = 10002 - 4 digits ; 7 = 1112 - 3 digits 3.1 (7) Write a recursive version of this algorithm 3.2 (10p) Prove correctness of the recursive solution using induction. Clearly state the claim, base case and the induction step 3.3 (8p) Write a non-recursive solution that uses loops. 3.4 (5p) Identify the loop invariant of the non-recursive algorithm. Remember that the loop invariant LI = the "thing that always holds whenever the loop executes. Should be informative such that proving the correctness of the LI leads to the correction of the whole algorithmStep by Step Solution
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