Calculator

What the Binary Converter does

Binary Converter: converts Status, Decimal and Binary from Number and From base. Example: number 11111111 and from base Binary gives status Converted.

Enter Number and From base and the Binary Converter reports Status, Decimal and Binary. The result recalculates on every keystroke without a button press or a page reload.

It is mostly used by developers debugging a payload. Spotting a malformed field is far quicker when the structure is laid out clearly.

This runs client-side, which means we never receive what you enter and could not retrieve it if asked.

The meaning of each field, the formula in use, and a worked example that starts from the default inputs are all further down.

What do the Binary Converter fields mean?

The Binary Converter uses 2 inputs. The defaults are there to be replaced. They exist so the tool is never showing an empty result.

FieldWhat to enterDefault
Number required 11111111
From base choose from Decimal, Binary, Octal or Hex Binary

How does the Binary Converter work?

Status, Decimal, Binary, Octal, Hex and All bases ← f(Number, From base)

Each output is derived from the inputs above in a single pass; there is no hidden state carried between runs, so the same inputs always give the same conversion.

The guard clauses run before the formula does, which is why mistakes surface next to the field.

Worked example

These are the values the Binary Converter loads by default, and the result it produces from them. These are the tool’s own default values and the result they produce, not an invented illustration.

Inputs
Number11111111
From baseBinary
Result
StatusConverted
Decimal255
Binary11111111
Octal377
HexFF
All basesdec 255 bin 11111111 oct 377 hex FF

Base 2

Binary uses two digits and is how every computer physically represents data, because a circuit is straightforwardly either on or off.

Digits0, 1two symbols
Place values… 16, 8, 4, 2, 1powers of 2
Example1011₂8 + 0 + 2 + 1 = 11₁₀
To decimalsum digit × 2^positionposition counts from 0 on the right

Worth knowing

  • Binary numbers get long fast, which is exactly why hexadecimal exists as shorthand. Each hex digit is precisely four binary digits.
  • A byte is 8 bits and holds 0 to 255 unsigned, or −128 to 127 in two’s complement.
  • Negative numbers are usually stored in two’s complement: invert every bit and add one.

How to use it

  1. Enter Number.
  2. Pick a value for From base: the options are Decimal, Binary, Octal or Hex.
  3. Because it recalculates as you type, you can dial a value in rather than guessing and re-running.
  4. You get Status, Decimal, Binary, Octal, Hex and All bases back.
  5. Both Copy Link and Print capture the current state, so pick whichever suits how you file things.

What this tool does not do

  • Output follows the common convention for this format; a specific toolchain may have its own house style.
  • Processing happens in your browser, so very large inputs are bounded by available memory.
  • It does not account for anything you did not enter, by definition.

Frequently asked questions

Number and From base. That is the whole form. A starting value is in place for each, letting you treat it as a what-if tool rather than a data-entry form.

With the values loaded when the page opens, status comes out as Converted. It recalculates the moment an input changes, which makes comparing scenarios quick.

Nothing is stored. The page has no back end to send data to, and holds your input only in memory.

It costs nothing, and there is no limit on repeat use.

Reliable for the case described. Where more than one convention exists, the method section says which one is used.

YoursTools Team
Product & Engineering

Builds and maintains every calculator on YoursTools.