Binary to Decimal Converter

Enter value and click on calculate. Result will be displayed.
Enter Binary Value :
Result:
Decimal Number :
HEX number :

A Binary to Decimal Converter is a tool—either a physical device, a software program, or a simple algorithm—that converts numbers from the binary number system (base-2) to the decimal number system (base-10).

What is a Binary to Decimal Converter?
It’s a converter that takes a binary number (made up of only 0s and 1s) and translates it into its equivalent decimal form (numbers from 0 to 9). For example, the binary number 1010 converts to the decimal number 10.

Why use a Binary to Decimal Converter?

  • Readability: Humans typically use the decimal system, while computers use binary. Converting helps interpret binary outputs in a more understandable form.
  • Debugging: When working with low-level programming, embedded systems, or digital electronics, seeing the decimal value of binary data can help identify issues.
  • Mathematical calculations: Certain binary representations need to be converted to decimal for easier calculations or analysis.

How does a Binary to Decimal Converter work?
The conversion uses the positional value of bits in the binary system. Each bit represents a power of 2, starting from the rightmost bit. Here’s how it works:
For binary number 1011, the decimal equivalent is calculated like this:

So, 1011 in binary equals 11 in decimal.

When is a Binary to Decimal Converter used?

  • Programming: When interpreting binary data in programming languages, like when working with bitwise operations.
  • Electronics and digital circuits: When diagnosing signal patterns or reading binary output from microcontrollers and digital devices.
  • Network addressing: In computer networking, binary representations of IP addresses and subnet masks often need conversion to decimal.
  • Educational purposes: Learning and understanding how computers store and manipulate data.