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Binary ⇄ Decimal Converter

Convert values between binary and decimal systems in seconds

Decimal to Binary

Result

Result based on the provided information

Binary 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)

Binary to Decimal and Decimal to Binary Converter – Online, Fast, and Free

Do you need to convert binary numbers to decimal or turn decimal values into binary quickly and accurately?

Fastools provides a free online Binary to Decimal and Decimal to Binary converter, ideal for students, IT professionals, programmers, engineers, and anyone who wants to understand how the numeric system used internally by computers works. All directly in your browser—no installation or registration required.

Just enter the binary or decimal number, select the conversion type, and click "Convert." In seconds, you’ll receive an accurate result following the mathematical rules of the binary system, ensuring compatibility with academic and professional applications.

Our binary–decimal converter is perfect for learning computing fundamentals, studying number bases, understanding how processors handle data, and developing mathematical logic for programming and engineering.

How to use the Binary to Decimal and Decimal to Binary converter?

  • 1️⃣ Choose your mode: Binary → Decimal or Decimal → Binary.
  • 2️⃣ Enter the number in the field provided.
  • 3️⃣ Click “Convert” and get your result instantly.
  • 4️⃣ Copy, share, or use the converted value wherever needed.

Why use Fastools’ converter?

  • ✅ 100% free, online, and easy to use
  • ✅ Accurate and instant conversion
  • ✅ Perfect for math, computer science, and engineering students
  • ✅ Ideal for programmers, analysts, and tech enthusiasts
  • ✅ Accessible on any device: computer, tablet, or mobile phone

Benefits of using our numeric conversion tool

  • 📊 Understand how number base conversion works
  • ⚡ Instantly convert large binary numbers or complex decimal values
  • 🎯 Great for digital logic, electronics, programming, and discrete mathematics
  • 💻 Use without installing software or extensions

Can I use the converter to learn binary, decimal, or computational logic?

Yes! The tool is excellent for students and professionals who want to learn how digital systems represent numbers, study the foundation of computational math, create programming exercises, or work with numeric conversions in technical projects.

Start converting Binary to Decimal and Decimal to Binary quickly, accurately, and completely free with Fastools. Simplify your studies, projects, and experiments in the world of computing!

What is Decimal to Binary conversion?

Decimal to binary conversion transforms numbers from the decimal system — used daily — into sequences made only of zeros and ones. This representation is fundamental to computing, as computers and digital devices operate internally using the binary system.

Whenever a number is processed by software, stored in memory, or sent to another device, it is converted to binary before any internal operation.

What is converting Decimal to Binary used for?

Converting decimal numbers to binary is essential for understanding how digital systems, computer architecture, electronics, low-level programming, and efficient algorithm development work.

  • Studying computational logic and discrete mathematics
  • Systems programming and embedded applications
  • Interpreting registers and memory
  • Performance analysis and software optimization

How does Decimal to Binary conversion work?

The most common method involves repeatedly dividing the decimal number by 2. At each step, the remainder (0 or 1) is recorded. The binary number is formed by reading the remainders from bottom to top.

Step-by-step example

Decimal number: 10
10 ÷ 2 = 5 (resto 0)
5 ÷ 2 = 2 (resto 1)
2 ÷ 2 = 1 (resto 0)
1 ÷ 2 = 0 (resto 1)

Binary result: 1010

For standardization, this value can be represented as an 8-bit number by adding leading zeros: 00001010.

Fun facts about the binary system

  • Each bit represents a power of 2 (2⁰, 2¹, 2², 2³…).
  • The more bits available, the larger the number that can be represented.
  • Processors work with fixed bit sizes, such as 8, 16, 32, or 64 bits.
  • Leading zeros don’t change the value—only the display format.

What is Binary to Decimal conversion?

Binary to decimal conversion transforms bit sequences (0s and 1s) into numbers understandable to humans. Each binary position represents a power of 2, enabling interpretation of digitally stored and processed values.

What is converting Binary to Decimal used for?

This conversion is widely used for system debugging, binary data analysis, register interpretation, memory address reading, and understanding machine instructions and digital protocols.

  • Low-level programming and operating systems
  • Computer networking and IP addressing
  • Hardware analysis and digital electronics
  • Reverse engineering and information security

How does Binary to Decimal conversion work?

Each bit in the binary number is multiplied by the corresponding power of 2 based on its position. The results are then summed to obtain the final decimal value.

Practical example

Binary: 1010
(1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰)
= 8 + 0 + 2 + 0

Decimal result: 10

Possible conversion errors

  • Presence of characters other than 0 and 1 invalidates the conversion.
  • Very long sequences may exceed the system’s representation limits.
  • Errors in just one bit can completely change the final value.

Did you know?

  • The decimal system is natural for humans, while binary is ideal for machines.
  • Binary-decimal conversions are used in subnet masks and file permissions.
  • Much of digital security relies on the correct handling of binary numbers.