Convert Binary to Decimal
Convert binary numbers to decimal with the working shown.
Binary to Decimal Converter
Developer tool running locally in browser
What does Binary to Decimal Converter do?
Convert a binary number to decimal and see the place-value expansion that produced it. Handles arbitrarily long binary strings exactly, which matters when working with 64-bit values.
How to Use Binary to Decimal Converter
- 1Enter a binary numberOnly 0 and 1; spaces are ignored.
- 2Read the decimal valueShown with the working underneath.
- 3Copy itOne tap.
Key Features
- Place-value expansion showing how the total is built
- Exact for values of any length via BigInt arithmetic
- Hexadecimal and octal shown alongside
- Bit count reported
- Rejects non-binary digits with a clear message
Frequently Asked Questions
How do I convert binary to decimal by hand?
Give each digit a place value doubling from the right — 1, 2, 4, 8, 16 — then add the values where the digit is 1. 10110 is 16 + 4 + 2 = 22.
What is the largest value in 8 bits?
11111111, which is 255. In general n bits hold values from 0 to 2ⁿ − 1, so 16 bits reach 65,535 and 32 bits reach about 4.29 billion.
How do I handle negative binary numbers?
Computers use two’s complement, where the leading bit indicates sign at a fixed width. In 8-bit two’s complement, 11111111 is −1 rather than 255. This converter treats input as unsigned unless you add a minus sign.
Does spacing matter?
No. Spaces are stripped before conversion, so grouping into nibbles or bytes for readability is fine.
Input is processed in your browser and never transmitted. That said, treat any web page as untrusted for live production secrets — rotate anything you paste anywhere.
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