Convert binary to decimal instantly using our binary to decimal converter. Simply enter the binary digits to get the accurate decimal output in seconds.
Binary to Decimal Converter
How to Convert Binary to Decimal
Binary numbers are composed of only 1s and 0s and are widely used in computing systems. To convert binary to decimal, each binary digit (bit) is multiplied by 2 raised to the power of its position (starting from right to left, beginning with 0).
1 × 2² + 0 × 2¹ + 1 × 2⁰ = 4 + 0 + 1 = 5
Binary to Decimal Formula
The formula to convert any binary number (base-2) into decimal (base-10) is:
Decimal = d₀×2⁰ + d₁×2¹ + d₂×2² + ... + dₙ×2ⁿ
Where:
- dₙ is the nth digit from the right (0 or 1)
- n is the position index (starting from 0)
Binary to Decimal Examples
Convert 11111111 binary to decimal?
→ 255
(128 + 64 + 32 + 16 + 8 + 4 + 2 + 1)
Convert 1101001 binary to decimal?
→ 105
(64 + 32 + 0 + 8 + 0 + 0 + 1)
Binary to Decimal Table
| 1 binary to decimal = 1 |
| 10 binary to decimal = 2 |
| 11 binary to decimal = 3 |
| 100 binary to decimal = 4 |
| 101 binary to decimal = 5 |
| 110 binary to decimal = 6 |
| 111 binary to decimal = 7 |
| 1000 binary to decimal = 8 |
| 1001 binary to decimal = 9 |
| 1010 binary to decimal = 10 |
| 1011 binary to decimal = 11 |
| 1100 binary to decimal = 12 |
| 1101 binary to decimal = 13 |
| 1110 binary to decimal = 14 |
| 1111 binary to decimal = 15 |
| 10000 binary to decimal = 16 |
| 10001 binary to decimal = 17 |
| 10010 binary to decimal = 18 |
| 10011 binary to decimal = 19 |
| 10100 binary to decimal = 20 |
| 10101 binary to decimal = 21 |
| 10110 binary to decimal = 22 |
| 10111 binary to decimal = 23 |
| 11000 binary to decimal = 24 |
| 11001 binary to decimal = 25 |
| 11010 binary to decimal = 26 |
| 11011 binary to decimal = 27 |
| 11100 binary to decimal = 28 |
| 11101 binary to decimal = 29 |
| 11110 binary to decimal = 30 |
FAQs
Q: What is the fastest way to convert binary to decimal?
A: Using an online converter like ours is the quickest and most accurate way to perform binary to decimal conversions.
Q: Can I input multiple binary numbers at once?
A: Yes! Just separate each binary number with a space.
Q: What if I enter an invalid binary number?
A: The tool will alert you by marking it as an invalid binary entry in the output.
Q: Do I need to download or install anything?
A: No, this is a completely web-based converter – accessible from any device, anytime.
Also see: Binary conversion tools
