Recall the definition of logarithm base two: saying p = log m is the same as...

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Recall the definition of logarithm base two: saying p = log₂ m is the same as saying m = 2P. In this class, we will typically write lg to mean log2. (1) How many bits are needed to write down a positive integer n? Give your answer in big-O notation, as a function of n. (2) How many times does the following piece of code print ?hello?? Assume n is an integer, and that division rounds down to the nearest integer. Give your answer in big-O form, as a function of n. while n > 1: print "hello" n := n/2 Recall the definition of logarithm base two: saying p = log₂ m is the same as saying m = 2P. In this class, we will typically write lg to mean log2. (1) How many bits are needed to write down a positive integer n? Give your answer in big-O notation, as a function of n. (2) How many times does the following piece of code print ?hello?? Assume n is an integer, and that division rounds down to the nearest integer. Give your answer in big-O form, as a function of n. while n > 1: print "hello" n := n/2

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