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Binary to Decimal

Conversion

Convert binary numbers to decimal and vice versa with step-by-step calculation display.

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Binary
Converted

Enter binary or use Example.

Each binary digit represents a specific power of two based on its position, the rightmost digit worth one, the next worth two, then four, then eight, doubling with every step left, and adding up the positions where a 1 actually appears is the entire calculation behind converting binary into decimal, straightforward once seen worked out but easy to fumble doing purely in your head. This tool converts binary to decimal and back, showing the actual positional breakdown, each bit's power of two and whether it's a 1 or a 0, rather than just returning a final number with no visible working.

See more about the Binary to Decimal

Useful for a student learning how positional binary notation actually represents a number for the first time, double-checking a binary-to-decimal conversion done by hand, or converting a binary value from a datasheet or a programming exercise with the calculation shown alongside the result.

Key features

  • Clean interface
  • Fast processing
  • No signup required
  • Works offline

Quick answers for Binary to Decimal

Does it only convert to decimal, or other bases too?
Despite the name, it converts your binary input to decimal, hexadecimal, and octal all at once, showing all three with individual copy buttons rather than requiring three separate lookups.
Can I go the other direction, decimal to binary?
No, this tool only accepts binary input. For the reverse direction, the Base Number Converter or Bin-Hex-Dec Converter both let you pick decimal as the source base.
What counts as valid input?
Only the digits 0 and 1, with optional whitespace between groups. Anything else triggers an "Invalid binary" message instead of attempting a conversion.