Question

How do you write 8 in binary?

Answer 1

To write the decimal number 8 in binary, you can follow these steps:

1. **Understand the place values**: Binary is a base-2 number system, which means it uses two digits: 0 and 1. Each place value represents a power of 2, starting from the right:
   - \(2^0 = 1\)
   - \(2^1 = 2\)
   - \(2^2 = 4\)
   - \(2^3 = 8\)

2. **Convert 8 to binary**: Start from the largest power of 2 that fits into 8, which is \(2^3\):
   - \(2^3\) equals 8, so we put a 1 in that position.
   - Since there are no remaining values, we fill the lower powers with 0s: \(2^2\), \(2^1\), and \(2^0\) each receive a 0.

Putting this all together, 8 in binary is represented as:
- \(1000\)

Thus, the binary representation of the decimal number 8 is **1000**.

Answer 2

To write the number 8 in binary, you need to convert it from its decimal (base-10) form to binary (base-2).

The binary representation of 8 is **1000**.

Here's the breakdown:
- \( 8 \) in decimal is equivalent to \( 1 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 0 \times 2^0 \).
- So, the binary form of 8 is **1000**.