Binary to Decimal Converter
Convert binary numbers to decimal format instantly with our powerful converter tool
Binary Input
Enter only 0s and 1s (no spaces or other characters)
Conversion Options
Quick examples: 1010, 11111111, 110110101
Conversion Results
Binary Input
--
Decimal Result
--
Hexadecimal
--
Enter a binary number to see detailed conversion steps.
Conversion Steps
Detailed conversion steps will appear here.
📊 Binary Reference Table
| Binary | Decimal | Hex | 8-bit Signed |
|---|---|---|---|
| 0000 | 0 | 0x0 | 0 |
| 0001 | 1 | 0x1 | 1 |
| 0010 | 2 | 0x2 | 2 |
| 0100 | 4 | 0x4 | 4 |
| 1000 | 8 | 0x8 | -8 |
| 1111 | 15 | 0xF | -1 |
| 11111111 | 255 | 0xFF | -1 |
Note: Signed values use two's complement representation.
📚 Binary Conversion Tips
Positional Values
Each binary digit represents a power of 2, starting from the right (2^0).
Simple Conversion
Add up the values of each position where there's a '1'.
Negative Numbers
In two's complement, the leftmost bit indicates sign (1 = negative).
Quick Doubling
Moving left multiplies by 2, moving right divides by 2.
Hex Conversion
Group binary digits in sets of 4 to convert to hexadecimal.
Practice
Regular practice with different bit lengths improves speed.
Dark Mode
Note: This converter handles binary numbers up to 64 bits. For floating point numbers, it uses IEEE 754 standard representation.