Binary to Decimal Converter
Convert binary numbers to decimal format instantly with our powerful converter tool
Binary Input
Conversion Options
Quick examples: 1010, 11111111, 110110101
Conversion Results
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.
Note: This converter handles binary numbers up to 64 bits. For floating point numbers, it uses IEEE 754 standard representation.