Question 108

Let n be the total count of the 5-digit numbers in the binary system. What is the value of 2n?

Solution

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In a 5 digit binary number set, there are five places _ _ _ _ _, which shall be filled with 2 numbers (0 or 1).

Hence, for every place, we have two choices. For 5 places, we will have a total of $$2^5$$ choices, making the total count as 32. 

This means n= 32. Therefore, 2n= 64.

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