Convert the following decimal numbers to binary equivalent. 0.5  , 0.25, 0.125, 0.625

Let's convert each of the decimal numbers to their binary equivalents.

### 1. Converting \( 0.5 \) to binary:
- Multiply \( 0.5 \times 2 = 1.0 \)
- The integer part is 1. So, the binary representation is **0.1**.

### 2. Converting \( 0.25 \) to binary:
- Multiply \( 0.25 \times 2 = 0.5 \)
- Multiply \( 0.5 \times 2 = 1.0 \)
- The binary representation is **0.01**.

### 3. Converting \( 0.125 \) to binary:
- Multiply \( 0.125 \times 2 = 0.25 \)
- Multiply \( 0.25 \times 2 = 0.5 \)
- Multiply \( 0.5 \times 2 = 1.0 \)
- The binary representation is **0.001**.

### 4. Converting \( 0.625 \) to binary:
- Multiply \( 0.625 \times 2 = 1.25 \) → Integer part = 1
- Multiply \( 0.25 \times 2 = 0.5 \) → Integer part = 0
- Multiply \( 0.5 \times 2 = 1.0 \) → Integer part = 1
- The binary representation is **0.101**.

### Final Results:
1. \( 0.5 = 0.1_2 \)
2. \( 0.25 = 0.01_2 \)
3. \( 0.125 = 0.001_2 \)
4. \( 0.625 = 0.101_2 \)

Would you like any further details on the conversion process or have any questions?

#### Related Questions:
1. How do you convert decimal numbers greater than 1 to binary?
2. What is the binary equivalent of \( 0.75 \)?
3. How does the fractional binary representation work for repeating decimals?
4. Can you explain how negative decimals are represented in binary?
5. How can floating-point numbers be stored in binary using IEEE 754?

**Tip**: For binary fractions, each digit after the decimal represents a negative power of 2, like \( 2^{-1}, 2^{-2}, 2^{-3}, \ldots \).

Convert the following decimal numbers to binary equivalent. 0.5, 0.25, 0.125, 0.625

Learn how to convert the decimal fractions 0.5, 0.25, 0.125, and 0.625 into their binary equivalents. This step-by-step guide explains the binary conversion process, covering key concepts in the binary number system and fractional binary representation. Ideal for students in Grades 8-10.

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