Binary to Decimal Converter
Convert binary (base-2) numbers to decimal (base-10) format. Also see hexadecimal and octal equivalents.
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Enter a binary number to convert
Frequently Asked Questions
How do you convert binary to decimal?
Multiply each binary digit by 2 raised to its positional power (right to left, starting at 0) and sum the results. For 1011: (1×8) + (0×4) + (1×2) + (1×1) = 11.
What is the binary number system?
Binary is base-2, using only digits 0 and 1. It is the native language of computers because digital circuits represent two states: off (0) and on (1).
What is the largest 8-bit binary number?
11111111 in binary equals 255 in decimal. An 8-bit byte can represent values 0–255 (256 total values).