How do you manually convert binary to decimal?

Multiply each bit by 2 raised to the power of its position (starting at position 0 from the right) and sum the products.

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Binary to Decimal

Convert binary (base-2) numbers to decimal, hexadecimal, and octal.

How to Use Binary to Decimal

1Type a binary number containing only 0s and 1s.
2View the decimal, hexadecimal, and octal conversions immediately.
3Inspect the mathematical powers-of-two breakdown.

Key Features & Benefits

Validates binary input (prevents invalid characters)
Simultaneous Decimal, Hexadecimal, and Octal output
Educational step-by-step bit calculation steps

About Binary to Decimal

Convert binary sequences (e.g. 11010110) into decimal (base-10), hexadecimal (base-16), and octal (base-8). Includes a bit-by-bit powers-of-2 breakdown explaining the math.

Unlike traditional web tools that send your personal data, uploaded photos, or sensitive text to remote cloud servers, our Binary to Decimal operates strictly inside your client browser sandbox. This guarantees high processing speeds without network throttling, and ensures your data privacy is completely preserved.