Binary to Decimal Converter

Converts binary to decimal.

Result

Decimal
156

How to use the binary to decimal converter

  1. Enter the binary number.
  2. The results update as you type, or press Calculate.
  3. Read the decimal first, then the supporting figures below it.

Formula

Sum each bit × 2^position.

Worked example

For example, with these inputs:

the calculator returns:

Background

Calculators are best used to check working rather than replace it, especially for exams where method marks count. Work the problem by hand first, then confirm with the calculator.

These calculations appear throughout the Singapore syllabus, from primary school percentages and fractions to secondary school algebra and geometry. Understanding the formula makes problem sums easier because you can recognise which quantity is missing.

Frequently asked questions

How does the binary to decimal converter work?

It applies this formula: Sum each bit × 2^position.

Can I use any units?

Yes, as long as every input uses the same unit. The answer will be in that unit (squared for areas, cubed for volumes).

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