PYTHON PROGRAMMING 3.4

11) Write a function alogical(n) , that takes as input a number, n, where n is bigger or equal to 1, and returns the minimum number of times that n needs to be divided by 2 in order to get a number equal or smaller than 1. For example 5.4/2=2.7. Since 2.7 is bigger than 1, dividing 5.4 once by 2 is not enough, so we continue. 2.7/2=1.35 thus dividing 5.4 twice by 2 is not enough since 1.35 is bigger than 1. So we continue. 1.35/2=0.675. Since 0.675 is less than 1, the answer is 3. In particular, these calculations determine that 5.4 needs to be divided by 2 three times minimum in order to get a number that is less than or equal to 1. See Section 2 for more examples. Recall that you may not use loops nor if/branching statements..... # testing Question 11 >>>

>>>alogical(5.4)

3

>>> alogical(4)

2

>>> alogical(1000)

10

>>> alogical(4200231)

23