The Mathematics Behind It
Conversion Formula & Logic
Decimal = (d_n × 2^n) + ... + (d_1 × 2^1) + (d_0 × 2^0). Each digit is multiplied by 2 to the power of its zero-indexed position.
Binary to Decimal Converter
Instantly convert base-2 binary strings into standard base-10 decimal numbers.
Input binary
Output decimal
Translation will appear here