BinaryCon Binary Converter

Binary → Decimal

Result

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About this tool

This converter quickly transforms a binary string (base-2) into its decimal (base-10) representation. Useful for students learning number systems and engineers working with low-level data.

Example

Input: 1101
Output: 13

Common mistakes

  • Including characters other than 0 or 1.
  • For signed values, two's complement interpretation is required (this tool treats inputs as unsigned).

FAQ

Q: Can I paste spaces or newlines?
A: Remove them or the input will be considered invalid.

Conversion formula

Binary → Decimal:
Value = Σ (bit_i × 2^i)  for i = 0..n (rightmost bit is i=0)
Example: 1101₂ = 1×2^3 + 1×2^2 + 0×2^1 + 1×2^0 = 13