Convertisseur Binaire en Décimal

Convertissez facilement les nombres binaires en décimaux.

Valeur décimale

10

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. 010×128 + 0×64 + 0×32 + 0×16 + 1×8 + 0×4 + 1×2 + 0×1
    2. 02= 0 + 0 + 0 + 0 + 8 + 0 + 2 + 0
    3. 03= 10

    Questions Fréquentes

    What is the binary number system?

    Binary (base-2) uses only two digits: 0 and 1. It is the fundamental number system used by computers and digital electronics.

    Why do computers use binary?

    Computers use binary because electronic circuits have two stable states (on/off, high/low voltage), making base-2 the natural representation for digital data.

    How do you count in binary?

    0, 1, 10, 11, 100, 101, 110, 111, 1000... Each position doubles in value from right to left (1, 2, 4, 8, 16, 32, 64, 128, ...).

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