Binary to Decimal Converter

What is the Binary to Decimal Converter?

Convert binary numbers to decimal, exactly, for any length. Binary is how computers store numbers, and converting it to decimal makes register values, flags and network masks readable.

How to use the Binary to Decimal Converter

1. Enter your binary number.
2. Results update automatically as you type; you can also press Calculate.
3. Read the output: decimal, hexadecimal.
4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

Worked example

With binary number = 11111101010, the Binary to Decimal Converter returns decimal: 2026; hexadecimal: 7EA.

Where the Binary to Decimal Converter helps in real life

You are studying for a computer science exam and need to check your hand conversions. Enter the binary value and compare the decimal result with your working.

A device datasheet lists a configuration register as 0b1101 0010. Converting it shows the decimal value you need to enter in software.

Common mistakes to avoid

• Reading the bits from the wrong end.
• Including spaces or the 0b prefix where the tool expects digits only.
• Forgetting that leading zeros do not change the value.
• Confusing signed and unsigned interpretations.

💡 Practical tip: Each binary place doubles the value of the one to its right — 1, 2, 4, 8, 16 and so on.

Tips for better results

• Group bits in fours to make long numbers easier to read.
• Use the binary-to-hex tool for compact notation.
• Write place values (1, 2, 4, 8…) under each bit when learning.

Related tools