Developer Tools

Binary to Decimal Converter

Paste a binary number and get the decimal value instantly. Includes a positional breakdown so you can see exactly how the conversion works.

About Binary to Decimal Conversion

Binary is base-2 — every digit is either 0 or 1, and each position represents a power of 2. Decimal is base-10, the number system you use every day. Converting between them is a core skill in computer science, digital electronics, and low-level programming.

To convert by hand: read the binary number right to left, multiply each bit by 2 raised to its position (starting at 0), then sum the results. For 1101: 1×8 + 1×4 + 0×2 + 1×1 = 13. This tool does that work instantly and shows you the breakdown.

Need the reverse? Convert Decimal to Binary →

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