Binary to Decimal Converter

Convert binary numbers to decimal. Enter each binary digit position to build the number. Free binary to decimal converter.

Decimal Value

21

Voir la formule →

Formule

## Binary to Decimal Converter ### How It Works Each binary digit (bit) represents a power of 2. From right to left: - Bit 0 = 2^0 = 1 - Bit 1 = 2^1 = 2 - Bit 2 = 2^2 = 4 - Bit 3 = 2^3 = 8 - Bit 4 = 2^4 = 16 - Bit 5 = 2^5 = 32 - Bit 6 = 2^6 = 64 - Bit 7 = 2^7 = 128 Multiply each bit by its place value and sum all the results.

Exemple Résolu

Convert binary 00010101 to decimal.

  1. 010×128 + 0×64 + 0×32 + 1×16 + 0×8 + 1×4 + 0×2 + 1×1
  2. 02= 0 + 0 + 0 + 16 + 0 + 4 + 0 + 1
  3. 03= 21 in decimal