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Decimal ⇄ BCD Converter

Quickly convert values between decimal and BCD

Decimal to BCD

Result

Result based on the provided information

BCD to Decimal

Result

Result based on the provided information

Related Features

Binary ↔ Decimal
Binary ↔ Text
Binary ↔ Hexadecimal
Binary ↔ Octal
Binary ↔ ASCII
Binary ↔ Base64
Binary ↔ Gray Code
Binary ↔ BCD (Binary-Coded Decimal)

Decimal-to-BCD and BCD-to-Decimal Converter — Online, Fast & Free

Need to convert decimal numbers to BCD—or BCD to decimal—simply and reliably?

Fastools provides a free online Decimal-to-BCD and BCD-to-Decimal converter, ideal for students, technicians, engineers, and IT professionals working with digital electronics, embedded systems, and numeric representation. All directly in your browser—no installation or registration required.

Simply enter the decimal number or BCD code, choose the desired conversion type, and click “Convert.” In seconds, you’ll get an accurate result following the widely used BCD (Binary-Coded Decimal) standard for digital circuits.

Our Decimal-to-BCD converter is ideal for understanding how decimal numbers are represented digit-by-digit in binary—facilitating the study of digital logic, seven-segment displays, and control systems.

How to use the Decimal-to-BCD and BCD-to-Decimal converter?

  • 1️⃣ Select the desired mode: Decimal → BCD or BCD → Decimal.
  • 2️⃣ Enter or paste the number in the designated field.
  • 3️⃣ Click “Convert” to get your result instantly.
  • 4️⃣ Copy or use the result in your studies or projects.

Why use Fastools’ BCD converter?

  • ✅ 100% free, fast, and accessible online
  • ✅ Accurate conversion following the BCD standard
  • ✅ Ideal for digital electronics and embedded systems
  • ✅ Simple and easy-to-use interface
  • ✅ Compatible with desktops, tablets, and smartphones

Benefits of using our Decimal ↔ BCD conversion tool

  • 📊 Learn how BCD encoding works in practice
  • ⚡ Instantly convert decimal numbers and BCD codes
  • 🎯 Ideal for digital logic, PLCs, and electronics studies
  • 💻 Use directly in your browser—no software installation needed

Can I use the converter to learn about decimal, BCD, or digital electronics?

Yes! This tool is excellent for those studying number systems, decimal conversion, BCD representation, and digital circuit operation. It’s also highly useful for creating educational exercises and quickly validating calculations.

Start converting Decimal to BCD and BCD to Decimal—quickly, accurately, and completely free—with Fastools. Simplify your electronics and computing studies and projects today!

What is Decimal-to-BCD (Binary-Coded Decimal) conversion?

Decimal-to-BCD conversion transforms base-10 numbers into a special binary representation called BCD (Binary-Coded Decimal). In this format, each decimal digit is individually converted into a 4-bit binary group.

Unlike standard binary conversion, BCD does not represent the number as a single binary value. Instead, it preserves each decimal digit as an independent 4-bit binary group.

What is Decimal-to-BCD conversion used for?

BCD encoding is widely used in digital electronics and embedded systems where decimal numbers must be displayed accurately and intuitively— such as in calculators, digital clocks, and seven-segment displays.

  • Numeric representation in digital circuits
  • Seven-segment display control
  • Embedded systems and microcontrollers
  • Teaching digital logic and number systems

How does Decimal-to-BCD conversion work?

Each decimal digit is separately converted to a 4-bit binary group. The final result is the concatenation of these binary groups, preserving the original decimal value digit by digit.

Practical example (Decimal → BCD)

Decimal number: 259
Digit separation: 2 | 5 | 9
BCD: 0010 0101 1001

Each digit is converted individually: 2 → 0010, 5 → 0101, and 9 → 1001.

Important notes

  • Each decimal digit in BCD always occupies 4 bits.
  • BCD is not the most storage-efficient format, but it is more intuitive.
  • Only values 0000 to 1001 (0–9) are valid digits; 1010 to 1111 do not represent decimal digits.

What is BCD-to-Decimal conversion?

BCD-to-Decimal conversion performs the reverse process: it interprets each 4-bit binary group as an individual decimal digit and reconstructs the original number in the decimal system.

What is BCD-to-Decimal conversion used for?

This conversion is essential so digital systems can process, compute, and correctly display numeric values encoded in BCD, making the data understandable to end users.

  • Reading values from sensors and digital circuits
  • Data processing in embedded systems
  • Displaying numbers on digital interfaces
  • Electronics and computer architecture studies

How does BCD-to-Decimal conversion work?

The BCD value is split into 4-bit blocks. Each block is converted to its decimal equivalent, and the resulting digits are concatenated to form the final number.

Practical example (BCD → Decimal)

BCD: 0010 0101 1001
Decoded digits: 2 | 5 | 9
Decimal number: 259

By repeating this process for all 4-bit groups, the original decimal number is accurately reconstructed.

Possible conversion errors

  • 4-bit groups with values greater than 1001 (9) do not represent valid digits.
  • Incomplete BCD sequences may yield incorrect results.
  • A single incorrect bit can completely change the final value.

Did you know?

  • BCD was widely used in early computers and electronic calculators.
  • Seven-segment displays work naturally with BCD.
  • Although less efficient than pure binary, BCD simplifies the display of numbers.