Binary to Decimal Calculator

Convert binary numbers to decimal (base 2 to base 10). Supports integer and fractional binary numbers with full breakdown.

Number Type *

Output Format

Binary Number *

base 2

Enter binary digits (0 and 1 only)

Decimal Precision

Show Steps

⚠️

Binary → Decimal

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🔢

Binary Visualization

Place value representation

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📋

Calculation Breakdown

Step-by-step binary to decimal conversion

🔢

Binary

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Base 2

📊

Decimal

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Base 10

📐

Bit Length

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Number of bits

📈

Highest Power

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2^n

📖

Binary to Decimal Formulas

Key conversion concepts

💡

Binary Tips

Understanding binary numbers

🔢 Mathematical Disclaimer: This binary to decimal calculator converts base-2 numbers to base-10. Only digits 0 and 1 are allowed. Results are for educational purposes.