Practice Counting Bits In Binary Representation (8.5) - Design and Analysis of Algorithms

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8 questions

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6 sample questions

Question 1.
How many bits are required for the number 5 in binary?
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Use the iterative method to find the count.
Question 2.
What is the binary representation of 2?
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Remember that 2 = 2^1.
3Question 3.
How many bits are necessary to represent the number 8 in binary?
- 2
- 3
- 4
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Use the iterative method of dividing by 2.
4Question 4.
True or False: The number of bits required to represent a number grows linearly with the value of the number.
- True
- False
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Remember how we count divisions by 2.
Question 5.
Determine how many bits would be required for the number 1000, and explain your reasoning.
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Count divisions by 2 and think about how powers relate to bit needs.
Question 6.
Create a flowchart representing the iterative process to count bits for any integer.
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Start with the initialization at 1 and show how each division affects the count.

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