Binary to Decimal

This tool converts binary strings to decimal numbers instantly. It serves students, developers, and engineers who work with bit-level data or algorithm proofs. Users enter a binary sequence; optionally prefixed with 0b and/or separated by underscores for readability. The input is sanitized to remove separators and any prefix before calculation. The output is a plain decimal string without locale-specific formatting.

Conceptually, the converter processes the bits from left to right, updating the result with the formula result = result * 2 + bit. It supports arbitrarily long inputs by using BigInt arithmetic, ensuring accuracy beyond 32- or 64-bit limits. Examples: 1101 becomes 13, and 0b1010 becomes 10.

Value proposition: fast, accurate, and platform-agnostic. It helps students verify homework, speeds up debugging, and supports data interpretation tasks that require precise base-2 to base-10 translation. A key differentiator is tolerant input handling (optional 0b prefix and underscores) alongside strict validation of binary digits.

Core features and use cases include a straightforward one-step conversion from a binary string to decimal, support for common prefixes, optional digit separators, and returning a clean decimal string. It is suitable for classroom exercises, code reviews, and scripting tasks that involve binary data interpretation.