Write a program that asks the user for an integer and returns an approximate integral value for its logarithm in base 2, using the fact that the logarithm is the number of times you need to divide an integer by 2 until you reach 1. Note that we are using Euclidean division and not real division. For example, if the input is 8 the output is 3 because 8/ 2 = 4, 4 /2 = 2, 2/2 = 1: that's 3 divisions. If the input is 31 the output is 4 because 31 /2 = 15, 15 /2 = 7,7/2 = 3,3/2 = 1: that's 4 divisions. (It is indeed very approximate!) Note that 0 or negative numbers have an integral logarithm of "-infinity", which is the output in these cases. Sample output1: Enter a number: 31 4 Sample output2: Enter a number: 0 -infinity Sample output3: Enter a number: -4 -infinity

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Write in C++ please.

Write a program that asks the user for an integer and returns an approximate integral value for its logarithm in base 2, using the fact that the logarithm is the number
of times you need to divide an integer by 2 until you reach 1. Note that we are using Euclidean division and not real division. For example, if the input is 8 the output
is 3 because 8/2 = 4, 4 / 2 = 2, 2/2 = 1: that's 3 divisions. If the input is 31 the output is 4 because 31 / 2 = 15, 15 /2 = 7,7 /2 = 3, 3/ 2 = 1: that's 4 divisions. (It is
indeed very approximate!) Note that 0 or negative numbers have an integral logarithm of "-infinity", which is the output in these cases.
Sample output1:
Enter a number: 31
4
Sample output2:
Enter a number: 0
-infinity
Sample output3:
Enter a number: -4
-infinity
Transcribed Image Text:Write a program that asks the user for an integer and returns an approximate integral value for its logarithm in base 2, using the fact that the logarithm is the number of times you need to divide an integer by 2 until you reach 1. Note that we are using Euclidean division and not real division. For example, if the input is 8 the output is 3 because 8/2 = 4, 4 / 2 = 2, 2/2 = 1: that's 3 divisions. If the input is 31 the output is 4 because 31 / 2 = 15, 15 /2 = 7,7 /2 = 3, 3/ 2 = 1: that's 4 divisions. (It is indeed very approximate!) Note that 0 or negative numbers have an integral logarithm of "-infinity", which is the output in these cases. Sample output1: Enter a number: 31 4 Sample output2: Enter a number: 0 -infinity Sample output3: Enter a number: -4 -infinity
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