Enter a value and select Convert.
Result
Method and worked example
Each binary digit is a coefficient at a power of two. The tool validates the entire integer and uses BigInt for exact conversion; a leading minus sign represents an ordinary mathematical negative, not two’s complement.
Example
101101₂ = 1×2⁵ + 0×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 45₁₀. An optional 0b prefix is accepted.
Limits and signed values
Only plain signed binary integers are accepted. Fractions, scientific notation, spaces inside the number, and two’s-complement interpretation are outside scope. Input is limited to 50,000 binary digits.
Safe, exact local processing
Input is handled as inert data and rendered with safe text nodes. No code is evaluated. Integer tools use arbitrary-precision BigInt instead of floating-point conversion, and the Binary Translator uses the browser’s UTF-8 byte APIs.