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Binary to Decimal

Convert binary numbers to decimal. Essential for programming, computer science, and understanding how computers store data.

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 data.

Why Convert Binary to Decimal?

Binary conversion is essential when:

  • Learning programming — understanding how data is stored
  • Debugging code — reading memory addresses and flags
  • Network configuration — subnet masks use binary
  • Digital electronics — working with logic circuits

The Conversion

Each binary digit represents a power of 2, from right to left: 1, 2, 4, 8, 16, 32...

For example: 1010 = 1×8 + 0×4 + 1×2 + 0×1 = 10

How to Use

  1. Enter binary number — type digits using only 0 and 1
  2. View decimal result — the conversion appears instantly
  3. Copy the result — use in your code or calculations

Common Binary Values

  • 1111 = 15 (4-bit max)
  • 11111111 = 255 (8-bit/byte max)
  • 1111111111111111 = 65,535 (16-bit max)

Tips

Invalid characters are automatically filtered. Only 0 and 1 are accepted for binary input.

01
0b
0123456789

Common Conversions

1 = 1
10 = 2
100 = 4
1000 = 8
10000 = 16
11111111 = 255

Binary (Base-2)

The fundamental language of computers. Uses only 0 and 1 to represent all data and instructions.

Decimal (Base-10)

The standard number system used in everyday life. Each digit can be 0-9.

Enter binary digits (0 and 1 only)
1010 in binary = 10 in decimal
Useful for understanding computer memory addresses
Each binary digit represents a power of 2
Want to learn more? Read documentation →
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