Decimal ⇆ Binary Converter

Easily convert Decimal numbers to Binary and Binary to Decimal — free & offline.

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Decimal to Binary Converter
Use our free Decimal to Binary Converter to quickly change decimal numbers into binary format. Binary numbers are the foundation of computingand this tool makes conversion fast, accurateand effortless. Whether you’re a student, programmer, or simply learning number systems, this calculator provides instant results without manual calculations.

Decimal to Binary conversion is the process of translating numbers from base-10 (decimal system) into base-2 (binary system). The decimal system uses digits from 0–9, while binary uses only two digits: 0 and 1. Computers process data in binary, which makes this conversion essential for programming, networkingand digital electronics.

  • Enter or paste your decimal number in the input box.
  • Click the "Convert" button to get the binary equivalent instantly.
  • Use the "Reset" button to clear inputs and start over.
  • You can also upload a file containing decimal values for batch processing.

Our tool not only provides the final binary output but also shows the step-by-step calculation process, making it a perfect learning aid.

  • Instant Conversion – Get results in real time with one click.
  • Step-by-Step Calculation – Learn how the conversion is performed.
  • Batch Processing – Upload files with multiple decimal numbers.
  • User-Friendly – Clean, simple interface that anyone can use.
  • Free & Web-Based – Accessible from any device without installation.

Binary numbers are the language of computers. By converting decimal numbers into binary, you can:

  • Understand how data is processed in computing systems.
  • Work with networking protocols, IP addressesand subnets.
  • Learn number system concepts for academic purposes.
  • Debug or test algorithms that depend on binary operations.

To convert a decimal number to binary manually, divide the number by 2 and record the remainders. Continue dividing until the quotient is 0. The binary number is the remainders read in reverse order.

Example: Convert 428.4 to binary.

428 ÷ 2 = 214 remainder 0
214 ÷ 2 = 107 remainder 0
107 ÷ 2 = 53 remainder 1
53 ÷ 2 = 26 remainder 1
26 ÷ 2 = 13 remainder 0
13 ÷ 2 = 6 remainder 1
6 ÷ 2 = 3 remainder 0
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1

Integer Part: 428 → 110101100

Fractional Part: 0.4 → .011001 (approx.)

Result: 428.4 → 110101100.011001₂

DecimalBinary
00000
10001
20010
30011
40100
50101
101010
151111
2010100
1201111000
24011110000
350101011110

Yes, your data is completely safe. The Decimal to Binary converter does not require login, signup, or personal information. All conversions are processed instantlyand no data is stored or shared with third parties.