Problem 24E

How many zeros are at the end of the binary expansion of 10010!?

Solution:

Step 1:

In this problem we need to find the number of zeros are at the end of the binary expansion of .

Note: We know that if we multiply a number by 2 we will see that its binary form will have a 0 increased . This means the number of 0’s at the end of a binary number is equal to the number of times 2 is the factor of that number.