Convertisseur Binaire en Décimal — 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. 0×128 + 0×64 + 0×32 + 1×16 + 0×8 + 1×4 + 0×2 + 1×1
    2. = 0 + 0 + 0 + 16 + 0 + 4 + 0 + 1
    3. = 21 in decimal