Conversor de Binário para Decimal Grátis

Converta números binários para o sistema decimal. Calculadora de bases numéricas gratuita.

Valor Decimal

10

Formula

## 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

Exemplo Resolvido

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

Perguntas Frequentes

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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