By CalculatorInn Team · Updated: 2026-03-22 · Free & accurate · Instant results
Convert binary (base 2) numbers to decimal (base 10), hexadecimal (base 16), and octal (base 8) representations.
Interactive Binary to Decimal Converter
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Decimal = Σ (bit × 2^position) for each binary digit
Each binary digit (bit) represents a power of 2. The rightmost bit is 2^0 (1), then 2^1 (2), 2^2 (4), 2^3 (8), etc. Add up the values of all positions that have a 1.
Computers use binary because transistors have two states: on (1) and off (0). All data — text, images, video — is ultimately stored and processed as sequences of 0s and 1s.
A byte is 8 binary digits (bits). It can represent values from 0 (00000000) to 255 (11111111). Larger numbers use multiple bytes.
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