Computers and Technology, 07.05.2021 23:50, applejulianamoreno

4. (15 points) Give an algorithm that takes as input a positive integer n and a number x, and computes xn (i. e., x raised to the power n) by performing O(lgn) multiplications. Your algorithm CANNOT use the exponentiation operation, and may use only the basic arithmetic operations (addition, subtraction, multiplication, division, modulo). Moreover, the total number of basic arithmetic operations used should be O(lgn).

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4. (15 points) Give an algorithm that takes as input a positive integer n and a number x, and comput...