Binary Converter - Convert Binary to Decimal, Hex, Octal
Result:
1 bin = 1 dec
What is a Binary Converter?
A binary converter is a simple tool that helps you change binary numbers into other number systems. Binary numbers use only 0s and 1s. Our binary converter can change these numbers into decimal, hexadecimal, and octal formats instantly.
Why Use Our Binary Converter?
Our binary converter makes number conversion easy. You don't need to do complex math by hand. Just type your binary number, pick what you want to convert it to, and get your answer right away.
How Binary Numbers Work
Binary is the language computers use. Every binary digit (called a bit) can only be 0 or 1. When you put these bits together, they make bigger numbers. For example:
- Binary 1010 equals decimal 10
- Binary 1111 equals decimal 15
- Binary 10000 equals decimal 16
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How Binary Conversion Works
Input Value
Enter binary value
Select Units
Choose from and to units
Convert
Apply conversion formula
Binary Conversion Table
| bin | dec | hex | oct |
|---|---|---|---|
| 0.1 | 0.10 | 0.10 | 0.10 |
| 0.5 | 0.50 | 0.50 | 0.50 |
| 1 | 1.00 | 1.00 | 1.00 |
| 2 | 2.00 | 2.00 | 2.00 |
| 5 | 5.00 | 5.00 | 5.00 |
| 10 | 10.00 | 10.00 | 10.00 |
| 15 | 15.00 | 15.00 | 15.00 |
| 20 | 20.00 | 20.00 | 20.00 |
| 25 | 25.00 | 25.00 | 25.00 |
| 30 | 30.00 | 30.00 | 30.00 |
| 40 | 40.00 | 40.00 | 40.00 |
| 50 | 50.00 | 50.00 | 50.00 |
| 75 | 75.00 | 75.00 | 75.00 |
| 100 | 100.00 | 100.00 | 100.00 |
| 150 | 150.00 | 150.00 | 150.00 |
Binary Units Progression Chart
1 bin
5 bin
10 bin
25 bin
50 bin
100 bin
Practice Problems
Problem 1:
Convert 15 bin to dec
Solution: 15 Ć 1.0000 = 15.00 dec
Problem 2:
Convert 25 dec to bin
Solution: 25 Ć 1.0000 = 25.00 bin
Problem 3:
Convert 0.5 bin to dec
Solution: 0.5 Ć 1.0000 = 0.50 dec
Problem 4:
Convert 100 dec to bin
Solution: 100 Ć 1.0000 = 100.00 bin
Problem 5:
Convert 7.5 bin to dec
Solution: 7.5 Ć 1.0000 = 7.50 dec
Converting Binary to Decimal
Converting binary to decimal is one of the most common tasks. Each position in a binary number has a value. Starting from the right:
- First position = 1
- Second position = 2
- Third position = 4
- Fourth position = 8
- And so on (each position doubles)
Example: Convert binary 1011 to decimal
- 1 Ć 8 = 8
- 0 Ć 4 = 0
- 1 Ć 2 = 2
- 1 Ć 1 = 1
- Total: 8 + 0 + 2 + 1 = 11
Converting Binary to Hexadecimal
Binary to hex conversion is also simple with our converter. Hexadecimal uses 16 symbols (0-9 and A-F). Each hex digit represents 4 binary digits.
- Binary 1010 = Hex A
- Binary 1111 = Hex F
- Binary 10000 = Hex 10
Converting Binary to Octal
Binary to octal conversion uses base 8 (digits 0-7). Each octal digit represents 3 binary digits.
- Binary 101 = Octal 5
- Binary 111 = Octal 7
- Binary 1000 = Octal 10
Common Binary Conversion Examples
Small Numbers:
- Binary 1 = Decimal 1
- Binary 10 = Decimal 2
- Binary 11 = Decimal 3
- Binary 100 = Decimal 4
- Binary 101 = Decimal 5
Larger Numbers:
- Binary 1000 = Decimal 8
- Binary 1010 = Decimal 10
- Binary 1100 = Decimal 12
- Binary 1111 = Decimal 15
- Binary 10000 = Decimal 16
When Do You Need Binary Conversion?
Computer Programming
- Writing code with binary data
- Understanding computer storage
- Working with bit operations
Digital Electronics
- Designing circuits
- Reading sensor data
- Programming microcontrollers
Education
- Learning number systems
- Computer science classes
- Math homework
Tips for Using Binary Converter
Best Practices:
- Double-check your input: Make sure you only use 0s and 1s for binary numbers
- Start small: Practice with simple binary numbers first
- Understand patterns: Notice how binary numbers grow (1, 10, 11, 100, 101...)
- Use our calculator: Let our tool do the hard work for you
Our Features:
- Easy Input: Just type your binary number and select conversion type
- Multiple Formats: Convert to decimal, hexadecimal, or octal
- Instant Results: Get your answer immediately
- Error-Free: Prevents mistakes from manual conversion
- Mobile-Friendly: Use on any device
Understanding Number Systems
Binary (Base 2)
Uses only 0 and 1. This is how computers think.
Decimal (Base 10)
Uses digits 0-9. This is what we use every day.
Hexadecimal (Base 16)
Uses 0-9 and A-F. Common in programming.
Octal (Base 8)
Uses digits 0-7. Less common but still useful.
Frequently Asked Questions
What is the biggest binary number I can convert?
Our binary converter can handle very large numbers. The limit depends on your device, but it works with numbers much bigger than you'll normally need.
Why do computers use binary?
Computers use binary because electronic switches can easily represent two states: on (1) and off (0).
Is binary conversion hard to learn?
Not at all! With practice and our binary converter, you can master it quickly.
Can I use this converter for homework?
Yes! Our binary converter is perfect for checking your homework answers.