Convert binary numbers into decimal values instantly with 100% precision — no manual math needed.
The Binary to Decimal Converter is an online tool used to convert binary numbers (base-2) into decimal numbers (base-10). Binary numbers are made of only two digits: 0 and 1. Decimal numbers are what we normally use in everyday life, such as 10, 25, or 100. This conversion is commonly used in computer science, programming, electronics, and mathematics. Instead of doing manual calculations, our tool provides fast and error-free results within seconds.
Computers do not understand human language. They understand binary language, which consists of only zeros and ones. Every instruction we write in any programming language is converted into binary form internally. To understand how computers work, students and developers need to learn binary and decimal conversions. That is why binary to decimal conversion plays a major role in learning computer science, electronics, and digital logic design.
To convert binary to decimal, every digit is multiplied by powers of 2 based on its position. The rightmost digit has power 0, the next digit has power 1, and so on. The formula is:
Decimal Number = (bn × 2ⁿ) + (b(n-1) × 2^(n-1)) + ... + (b1 × 2¹) + (b0 × 2⁰)
Where b represents binary digits (0 or 1).
Let’s convert 1011 to decimal.
| Binary Digit | Position (Power) | Calculation |
|---|---|---|
| 1 | 2³ = 8 | 1 × 8 = 8 |
| 0 | 2² = 4 | 0 × 4 = 0 |
| 1 | 2¹ = 2 | 1 × 2 = 2 |
| 1 | 2⁰ = 1 | 1 × 1 = 1 |
Total = 8 + 0 + 2 + 1 = 11
This tool is helpful for:
| Manual Calculation | Online Converter |
|---|---|
| Time-consuming | Instant result |
| Risk of mistakes | 100% accurate |
| Requires knowledge of powers | No special knowledge needed |
| Hard for big numbers | Easy for any number |
Binary to decimal conversion is used in various fields, such as programming, digital electronics, networking, data processing, embedded systems, operating systems, and more.
For example:
Example: 11010
Binary: 1 1 0 1 0 Power : 4 3 2 1 0
| Binary | Power | Result |
|---|---|---|
| 1 | 2⁴ = 16 | 16 |
| 1 | 2³ = 8 | 8 |
| 0 | 2² = 4 | 0 |
| 1 | 2¹ = 2 | 2 |
| 0 | 2⁰ = 1 | 0 |
16 + 8 + 0 + 2 + 0 = 26
By regularly using the Binary to Decimal Converter on KnowAdvance.com, you will develop strong knowledge of number systems. This tool is beginner-friendly, easy to use, and ideal for both education and practical work.
Binary to decimal conversion is very important in computer science and digital electronics. Whether you are a student or a professional, learning binary conversion is the first step toward understanding how computers work internally. Our online Binary to Decimal Converter helps you save time, avoid mistakes, and improve accuracy. Use it anytime on your mobile, laptop, or tablet with just one click. No installation required – it works completely online. Start exploring now and enhance your technical knowledge easily.