Decimal to Binary Converter

Enter value and click on calculate. Result will be displayed.
Enter decimal number :

Result:
Binary number :
Binary signed 2's complement :
Hex number :

What is a Decimal to Binary Converter?

A Decimal to Binary Converter transforms a decimal (base-10) number into its binary (base-2) equivalent. For example, 25 (decimal) → 11001 (binary).

Why use a Decimal to Binary Converter?

  • Computing & Digital Systems: Computers use binary for processing.
  • Efficient Data Representation: Binary is compact and used in memory storage.
  • Learning & Education: Helps understand number systems in mathematics and programming.

How does a Decimal to Binary Converter work?

  1. For Integers:

    • Divide the decimal number by 2.
    • Record the remainder.
    • Repeat until you reach 0.
    • Read the remainders in reverse order.

    Example: 25 → 11001

  2. For Fractions:

    • Multiply the fraction by 2.
    • Record the integer part.
    • Repeat with the remaining fraction.

    Example: 0.625 → 0.101

When should you use a Decimal to Binary Converter?

  • When programming in low-level languages (e.g., assembly, machine code).
  • When working with digital circuits and logic gates.
  • When converting decimal data for binary-based systems.