Binary to Decimal Converter

About this calculator

Binary (base 2) represents every number using only 0s and 1s, where each digit's place value doubles moving left — 1, 2, 4, 8, 16... To convert to decimal (base 10), you multiply each binary digit by its place value and sum the results (e.g. 1011₂ = 1×8 + 0×4 + 1×2 + 1×1 = 11); converting to hexadecimal (base 16) groups the binary digits into sets of four, each mapping directly to one hex digit (0-9, A-F).

Computer science students learn this conversion as a foundation for understanding how computers represent data, while programmers, network engineers, and hardware/firmware developers use it routinely to read memory addresses, IP subnet masks, bitwise flags, and register values that are natively expressed in binary or hex.