Binary to Decimal Converter Online
Convert between binary and decimal number systems instantly in your browser. This free tool handles the conversion entirely client-side — no data is sent to any server.
Number Base Converter
Convert numbers between binary, octal, decimal, and hexadecimal. Results update as you type.
About Number Base Conversion
- Supports arbitrarily large numbers using BigInt — no precision loss.
- Use prefixes for quick input:
0bfor binary,0ofor octal,0xfor hex. - Underscores in input are ignored for readability (e.g.
1_000_000). - Everything runs in your browser — no data is sent over the network.
What is binary to decimal conversion?
Binary (base-2) uses only digits 0 and 1, while decimal (base-10) uses digits 0-9. Converting binary to decimal involves multiplying each binary digit by 2 raised to the power of its position, then summing the results. For example, binary 1010 equals (1×8) + (0×4) + (1×2) + (0×1) = 10 in decimal.
Common use cases for binary-decimal conversion
Binary to decimal conversion is fundamental in computer science education, programming (especially for bit manipulation and bitwise operations), networking (IP address calculations), and understanding how computers represent numbers internally. It is also used in digital electronics and embedded systems programming.
Frequently Asked Questions
How do I convert large binary numbers to decimal?
For large binary numbers, simply paste the full binary string into the converter. The tool handles arbitrarily long binary numbers and computes the decimal equivalent instantly without manual calculation.
What is the binary representation of common decimal numbers?
Some common values: 10 = 1010, 100 = 1100100, 255 = 11111111, 256 = 100000000, and 1000 = 1111101000. Powers of 2 are always a 1 followed by zeros in binary.
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