To convert the decimal number \(0.71875\) to binary, follow these steps:

1. **Separate the integer and fractional parts**:
   - The number is \(0.71875\), which is a purely fractional number.

2. **Convert the fractional part to binary**:
   - Multiply the fractional part by 2. Write down the integer part (0 or 1) and continue with the fractional part.

   \[
   0.71875 \times 2 = 1.4375 \quad (\text{Integer part = 1})
   \]
   \[
   0.4375 \times 2 = 0.875 \quad (\text{Integer part = 0})
   \]
   \[
   0.875 \times 2 = 1.75 \quad (\text{Integer part = 1})
   \]
   \[
   0.75 \times 2 = 1.5 \quad (\text{Integer part = 1})
   \]
   \[
   0.5 \times 2 = 1.0 \quad (\text{Integer part = 1})
   \]
   - The process stops when the fractional part becomes 0.

3. **Combine the integer parts**:
   - The binary equivalent is obtained by combining the integer parts from each step: 
     \[
     0.71875_{10} = 0.10111_2
     \]

So, the decimal number \(0.71875\) in binary is \(0.10111_2\).

Would you like more details or have any questions?

### Related Questions:
1. How do you convert a binary number to decimal?
2. What is the binary representation of \(0.5\)?
3. How do you convert a fraction like \(3/8\) to binary?
4. What is the process to convert a decimal number with both integer and fractional parts to binary?
5. How do you convert \(0.125\) to binary?
6. Why does multiplying by 2 help in converting fractional decimals to binary?
7. What is the binary equivalent of \(0.9\) in decimal?
8. How do you convert repeating decimals to binary?

### Tip:
When converting fractional decimals to binary, the process is iterative and stops when the fraction becomes zero or when you've reached the desired precision.

Learn how to convert the decimal number 0.71875 to binary using an iterative process. Follow our step-by-step guide with detailed explanations and examples. Suitable for Grades 7-9.

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