이진수를 10진수로 변환
이진수 비트열을 10진수로 단계별 계산 과정과 함께 변환
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.