Binary to Decimal Converter
Convert any binary number to decimal instantly and accurately.
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What Is a Binary to Decimal Converter?
A Binary to Decimal Converter is an online tool that converts numbers from the binary number system (base-2) into the decimal number system (base-10). This converter is widely used in computer science, programming, digital electronics, networking, and mathematics to understand and verify binary calculations quickly and accurately.
How to Use the Binary to Decimal Converter
- Enter a valid binary number using only 0s and 1s.
- Click the Convert button.
- View the decimal equivalent instantly.
- Use the result to verify programming logic, exams, or electronics problems.
Step-by-Step Binary to Decimal Conversion
To convert a binary number into a decimal number, each digit (bit) is multiplied by a power of 2 based on its position. The values are then added together to get the final decimal result.
Binary to Decimal Conversion Rule
Starting from the rightmost digit, assign powers of 2:
- Rightmost bit → 2⁰
- Next bit → 2¹
- Next bit → 2²
- Continue increasing powers moving left
Example: Convert Binary 1011 to Decimal
| Binary Digit | Power of 2 | Calculation |
|---|---|---|
| 1 | 2³ | 1 × 8 = 8 |
| 0 | 2² | 0 × 4 = 0 |
| 1 | 2¹ | 1 × 2 = 2 |
| 1 | 2⁰ | 1 × 1 = 1 |
Add all the values:
8 + 0 + 2 + 1 = 11
✅ So, the binary number 1011 equals 11 in decimal.
Why Binary to Decimal Conversion Is Important
- Used in computer programming and software development
- Essential for digital electronics and logic circuits
- Helps students understand number systems
- Used in networking and data representation
Why Use CalHub Binary to Decimal Converter?
- Instant and accurate binary to decimal conversion
- Supports large binary numbers
- Useful for students, developers, and engineers
- No signup or installation required
- Works directly in your browser