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The question asks to calculate the binary value for 17 and then choose the correct binary representation from the options.

### Conversion of 17 to binary:
We can convert 17 to binary by dividing the number by 2 and noting the remainders:

1. \( 17 \div 2 = 8 \) remainder **1**
2. \( 8 \div 2 = 4 \) remainder **0**
3. \( 4 \div 2 = 2 \) remainder **0**
4. \( 2 \div 2 = 1 \) remainder **0**
5. \( 1 \div 2 = 0 \) remainder **1**

Now, we read the remainders from bottom to top: **10001**

So, the binary value of 17 is **10001**.

### Correct option:
- The first option (**10001**) is the correct binary representation of 17.

Would you like any additional details or have any questions?

Here are 5 related questions to expand this topic:
1. How do you convert a decimal number to binary for any number?
2. What is the binary system, and why is it used in computing?
3. Can you explain the steps for converting binary back to decimal?
4. What is the significance of place values in binary numbers?
5. How does binary addition work, and how does it compare to decimal addition?

**Tip:** When converting numbers from decimal to binary, always read the remainders from bottom to top!

Learn how to convert the decimal number 17 to binary through simple steps. The process involves dividing by 2 and noting remainders to get the binary result of 10001. Perfect for students in Grades 5-8 learning about binary numbers and the binary system.

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