Binaire en Décimal
Convertissez des bits binaires en décimal avec étapes détaillées
Binary to Decimal Positional Power Expansion
Binary to Decimal Bit Weights Reference
Standard byte values and binary positional powers.
| Binary (8-Bit) | Decimal | Positional Powers | Value | Action |
|---|---|---|---|---|
| 0000 0001 | 1 | 2⁰ | 1 | |
| 0000 0010 | 2 | 2¹ | 2 | |
| 0000 0100 | 4 | 2² | 4 | |
| 0000 1000 | 8 | 2³ | 8 | |
| 0000 1101 | 13 | 2³+2²+2⁰ | 13 | |
| 0001 0000 | 16 | 2⁴ | 16 | |
| 0010 0000 | 32 | 2⁵ | 32 | |
| 0100 0000 | 64 | 2⁶ | 64 | |
| 1000 0000 | 128 | 2⁷ | 128 | |
| 1111 1111 | 255 | 2⁸ - 1 | 255 (8-bit max) |
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Frequently Asked Questions
Everything you need to know about decimal conversions, accuracy, and formulas.
01How do you convert binary to decimal?▼
To convert binary to decimal, multiply each binary digit (bit) by 2 raised to the power of its position (counting from right to left starting at 0 for the integer part), then sum all results. For example: 1101₂ = (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2⁰) = 8 + 4 + 0 + 1 = 13₁₀.
02How do you convert fractional binary bits (e.g. 0.101)?▼
Fractional binary digits use negative powers of 2 starting immediately after the radix point: the first digit is 2⁻¹ (0.5), second is 2⁻² (0.25), third is 2⁻³ (0.125), and so on. For example: 0.101₂ = (1 × 0.5) + (0 × 0.25) + (1 × 0.125) = 0.625₁₀ (or 5/8).
03What is the maximum decimal value of an 8-bit binary number?▼
An unsigned 8-bit binary number with all 1s (11111111₂) equals 255 (2⁸ - 1). A signed 8-bit two's complement integer ranges from -128 to +127.