Sure, let's go through the process of determining how many byes are needed to make the following numbers into the nearest powers of 2: 6, 11, and 18.
1. Number 6:
- First, identify the nearest power of 2 that is greater than or equal to 6. The powers of 2 are: 1, 2, 4, 8, 16, etc.
- The smallest power of 2 greater than 6 is 8.
- Calculate the byes needed: 8 (next power of 2) - 6 = 2 byes.
2. Number 11:
- Next, identify the nearest power of 2 that is greater than or equal to 11. The powers of 2 are: 1, 2, 4, 8, 16, etc.
- The smallest power of 2 greater than 11 is 16.
- Calculate the byes needed: 16 (next power of 2) - 11 = 5 byes.
3. Number 18:
- Lastly, identify the nearest power of 2 that is greater than or equal to 18. The powers of 2 are: 1, 2, 4, 8, 16, 32, etc.
- The smallest power of 2 greater than 18 is 32.
- Calculate the byes needed: 32 (next power of 2) - 18 = 14 byes.
So, to summarize:
- For 6, you need 2 byes.
- For 11, you need 5 byes.
- For 18, you need 14 byes.
Thus, the byes needed for the given numbers are [2, 5, 14].
