How many zeros are at the end of the binary expansion of

Chapter 5, Problem 24E

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QUESTION:

Problem 24E

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

Questions & Answers

QUESTION:

Problem 24E

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

ANSWER:

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.

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