Binary to Decimal Converter
Convert binary numbers to decimal instantly using our free Binary to Decimal Converter. Get fast, accurate results with step-by-step explanations, examples, and a conversion table.
Tool Key Features
Instant Conversion
Sub-millisecond base-2 to base-10 calculation.
Accurate Results
Guaranteed 100% mathematical precision.
Unlimited Usage
Convert as many values as you need for free.
Mobile Friendly
Fully responsive UI on phone, tablet, & desktop.
Copy Result
One-click copy output to clipboard.
Secure Processing
All processing happens locally in your browser.
Free Forever
No paywalls, subscription fees, or hidden costs.
No Registration
Start converting immediately without logging in.
What is Binary to Decimal Converter?
Binary to Decimal conversion is the process of translating base-2 positional binary numbers (consisting solely of 0s and 1s) into the standard base-10 decimal system used in daily mathematics and human communication. Every bit in a binary number represents a power of 2, starting from 2^0 on the rightmost bit.
How to Use the Binary to Decimal Converter
- Enter or paste your binary value (e.g. 1010) into the input box.
- Click the Convert button or allow auto-convert to compute the value.
- View the decimal result, step-by-step math breakdown, and powers chart.
- Click Copy Result to copy the decimal answer to your clipboard.
Live Conversion Examples
(1×2³) + (0×2²) + (1×2¹) + (0×2⁰) = 8 + 0 + 2 + 0 = 10
8 set bits = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255
1×2⁷ = 128
How the Conversion Works
Binary conversion relies on positional values of powers of 2. Each bit position starting from the right (index 0) has a weight of 2^n:
Conversion Formula
Binary to Decimal Conversion Table (0–32)
| Decimal | Binary (8-bit) | Hexadecimal |
|---|---|---|
| 0 | 00000000 | 0x00 |
| 1 | 00000001 | 0x01 |
| 2 | 00000010 | 0x02 |
| 3 | 00000011 | 0x03 |
| 4 | 00000100 | 0x04 |
| 5 | 00000101 | 0x05 |
| 6 | 00000110 | 0x06 |
| 7 | 00000111 | 0x07 |
| 8 | 00001000 | 0x08 |
| 9 | 00001001 | 0x09 |
| 10 | 00001010 | 0x0A |
| 11 | 00001011 | 0x0B |
| 12 | 00001100 | 0x0C |
| 13 | 00001101 | 0x0D |
| 14 | 00001110 | 0x0E |
| 15 | 00001111 | 0x0F |
| 16 | 00010000 | 0x10 |
| 17 | 00010001 | 0x11 |
| 18 | 00010010 | 0x12 |
| 19 | 00010011 | 0x13 |
| 20 | 00010100 | 0x14 |
| 21 | 00010101 | 0x15 |
| 22 | 00010110 | 0x16 |
| 23 | 00010111 | 0x17 |
| 24 | 00011000 | 0x18 |
| 25 | 00011001 | 0x19 |
| 26 | 00011010 | 0x1A |
| 27 | 00011011 | 0x1B |
| 28 | 00011100 | 0x1C |
| 29 | 00011101 | 0x1D |
| 30 | 00011110 | 0x1E |
| 31 | 00011111 | 0x1F |
| 32 | 00100000 | 0x20 |
Frequently Asked Questions
What is a Binary to Decimal Converter?
It is a tool that converts numbers written in base-2 (binary) to base-10 (decimal).
Is this tool free to use?
Yes, EncodeHub tools are 100% free with no registration required.
What is the binary for decimal 10?
The binary equivalent of decimal 10 is 1010.
Does it support long binary values?
Yes, our converter supports arbitrarily large binary numbers.