About This Converter
Convert any binary (base 2) number to its decimal (base 10) equivalent instantly. This tool multiplies each bit by its positional power of 2 and shows the complete working — ideal for BCA/BTech exams, GATE prep, and debugging. Enter a binary string like 1011 and get the decimal result (11) with every intermediate step visible.
Worked Examples
Binary: 1011 → Decimal: 11
1×8 + 0×4 + 1×2 + 1×1 = 11
Binary: 11111111 → Decimal: 255
128+64+32+16+8+4+2+1 = 255 (one full byte)
Binary: 10000000 → Decimal: 128
1×128 + 0×(rest) = 128 (MSB only)
Need More Bases?
For full multi-base conversion (binary, octal, decimal, and hex all at once), use our Number System Converter — it shows all four representations simultaneously with complete step-by-step working.