📚 How to convert a binary number to decimal?#

Binary is a numbering system based on 2, where each digit (called a bit) can be either 0 or 1. Each bit represents a power of 2, starting from 2^0 on the right.

Step-by-step method:#

1. Write down the binary number.
2. Associate a power of 2 with each bit, starting from the right.
3. Multiply each bit by the corresponding power of 2.
4. Add everything together to get the decimal number.

🔎 Example: Convert 10110 (binary) to decimal

The binary number 10110 corresponds to: 1×2^4 + 0×2^3 + 1×2^2 + 1×2^1 + 0×2^0

Let's calculate each term:

• 1×2^4 = 16
• 0×2^3 = 0
• 1×2^2 = 4
• 1×2^1 = 2
• 0×2^0 = 0

Now, let's add them up: 16 + 0 + 4 + 2 + 0 = 22

Therefore, 10110 (binary) = 22 (decimal).

base 2