Question

What is octal binary conversion 24 8?

Answer 1

To convert the octal number \( 24_8 \) to binary, follow these steps:

### 1. Understand the Octal System
Octal (base-8) uses digits from 0 to 7. Each octal digit can be directly mapped to a 3-bit binary representation.

### 2. Convert Each Octal Digit to Binary

- **Octal digit 2:**
  - In binary, 2 is represented as \( 010_2 \).

- **Octal digit 4:**
  - In binary, 4 is represented as \( 100_2 \).

### 3. Combine Binary Digits
Combine the binary representations of the octal digits to form the complete binary number.

- The octal number \( 24_8 \) becomes:
  - The binary for 2 is \( 010 \)
  - The binary for 4 is \( 100 \)
  - Combining these gives: \( 010\ 100 \)

### 4. Write the Final Binary Number
So, the octal number \( 24_8 \) in binary is \( 010100_2 \).

**Summary:**
- Octal \( 24_8 \) converts to binary \( 010100_2 \).

Answer 2

To convert the octal number 24 to binary:

1. Convert each octal digit to its 3-bit binary equivalent:
   - 2 in octal is 010 in binary.
   - 4 in octal is 100 in binary.

2. Combine these binary values: 010100.

So, the binary representation of octal 24 is 010100.