Convertisseur Binaire en Décimal — Formule

How to Convert Binary to Decimal

Method

Each position in a binary number represents a power of 2, starting from 2^0 on the right.

Decimal = b7×128 + b6×64 + b5×32 + b4×16 + b3×8 + b2×4 + b1×2 + b0×1

For example, binary 00001010:

  • Position 3 (8s place): 1 × 8 = 8
  • Position 1 (2s place): 1 × 2 = 2
  • Total: 8 + 2 = 10

    • Exemple Résolu

    Convert binary 00001010 to decimal.

    1. 0×128 + 0×64 + 0×32 + 0×16 + 1×8 + 0×4 + 1×2 + 0×1
    2. = 0 + 0 + 0 + 0 + 8 + 0 + 2 + 0
    3. = 10