Binary to Decimal Converter

What is the Binary to Decimal Converter?

This tool converts binary numbers (base-2) to decimal numbers (base-10), helping you understand how computers represent the data we read and write every day.

Positional value: each binary digit represents a power of 2. Reading right to left, the place values are 1, 2, 4, 8, 16, 32, and so on.

Why Convert Binary to Decimal?

Learning Programming

Understand how integers, characters, and other data types are stored in memory.

Debugging Code

Read memory addresses, register values, and bit flags while troubleshooting.

Network Configuration

Subnet masks and IP address calculations rely on binary representation.

Digital Electronics

Work with logic circuits, gates, and signals expressed in 0s and 1s.

The Conversion Method

Multiply each binary digit by its place value (a power of 2) and add the results together.

Example: 1010 = 1×8 + 0×4 + 1×2 + 0×1 = 10 in decimal.

How to Use

Enter the Binary Number

Type your digits using only 0 and 1. Invalid characters are filtered automatically, so only valid binary input is accepted.

View the Decimal Result

The conversion appears instantly in the second field as you type. No button press needed.

Copy the Result

Use the copy button to grab the value for your code, calculations, or documentation.

Bidirectional: both fields are editable. Type a decimal value in the result field to convert it back to binary, or use the swap button to flip the direction.

Common Binary Values

Binary	Decimal	Meaning
`1111`	15	4-bit (nibble) maximum
`11111111`	255	8-bit (byte) maximum
`1111111111111111`	65,535	16-bit maximum

Frequently Asked Questions

What characters can I enter?

Only the digits 0 and 1, the two symbols used in base-2. Any other character is automatically filtered out as you type.

How do I convert decimal back to binary?

Both fields are interactive. Type a decimal number directly into the result field, or press the swap button to reverse the conversion direction.

Why does 11111111 equal 255?

Eight 1s add up to 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255. That is why a single byte (8 bits) can hold values from 0 to 255.

Is there a limit to the number size?

The tool handles everyday lengths used in programming and study with ease. For very long bit strings, results are computed in your browser for instant feedback.