Binary to Decimal
Convert binary numbers to decimal, hexadecimal, and octal.
Decimal (base 10)
10
Hexadecimal (base 16)
A
Octal (base 8)
12
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FAQ
- How does binary to decimal conversion work?
- Each binary digit (bit) represents a power of 2. Starting from the right, the positions represent 2^0, 2^1, 2^2, etc. Multiply each bit by its positional value and sum the results. For example, 1011 = 8+0+2+1 = 11.
- What is the maximum binary number this converter handles?
- This converter uses JavaScript's Number type, which safely handles integers up to 2^53-1 (Number.MAX_SAFE_INTEGER). For very long binary strings you may encounter precision loss.
- Why do developers use binary numbers?
- Computers store all data as binary (0s and 1s). Understanding binary is fundamental to bit manipulation, bitwise operations, networking (subnets), and low-level programming.
The Binary to Decimal converter parses a binary (base-2) number and displays its decimal (base-10), hexadecimal (base-16), and octal (base-8) equivalents. Input validation ensures only valid binary digits (0 and 1) are accepted. Results include one-click copy buttons.