免费二进制转十进制转换器
将二进制数即时转换为十进制数。
十进制值
10
公式
## 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
计算示例
Convert binary 00001010 to decimal.
- 010×128 + 0×64 + 0×32 + 0×16 + 1×8 + 0×4 + 1×2 + 0×1
- 02= 0 + 0 + 0 + 0 + 8 + 0 + 2 + 0
- 03= 10
常见问题
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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