Convert Between Binary, Decimal, and Hexadecimal
Base conversion is essential in computer science, digital electronics, and programming. Understanding how to convert between binary, decimal, and hexadecimal systems is fundamental for anyone working with data, networks, or software development. This calculator instantly converts between these three number systems—free and fast. All information is current as of 2026.
When to use this calculator
- Technical calculations related to base conversion (binary/decimal/hex)
- Students and professionals in computer science and engineering
- Validate theoretical results before implementation
- Teaching and learning the concept of number systems
- Quick reference for projects and programming
Calculation Example
- 255 decimal → hexadecimal
- FF
How it works
1 min readBase conversion is fundamental in computer science, digital systems, and programming. The decimal system (base 10) is what we use daily, while binary (base 2) and hexadecimal (base 16) are essential for computers and digital circuits.
How It Works
This calculator converts numbers between three number systems:
Simply enter your number, select the source base, choose your target base, and get instant results.
Important Notes
This calculation is for reference only. For critical applications in systems design, cryptography, or digital architecture, consult a specialist. All information is current as of 2026.
Frequently asked questions
Why is hexadecimal used in programming?
Hexadecimal (base 16) is compact and human-readable for representing binary data. Each hex digit represents exactly 4 binary bits, making it ideal for memory addresses, color codes, and low-level programming.
How do I convert binary to hexadecimal?
Group the binary digits into sets of 4, starting from the right. Convert each group to its hexadecimal equivalent. For example, 1111 1010 in binary equals FA in hexadecimal.
What does the 0x prefix mean in code?
The '0x' prefix indicates that a number is in hexadecimal format. For example, 0xFF is 255 in decimal. Binary numbers use the '0b' prefix (0b1010 = 10 in decimal).
Can I convert negative numbers?
Yes, but negative binary representation typically uses two's complement notation in computer systems. This is a specialized technique used in digital electronics and low-level programming.
How do I convert floating-point numbers?
Floating-point conversion is more complex and follows the IEEE 754 standard. Integer conversion is straightforward; floating-point numbers require separate handling of the mantissa and exponent.
Is this calculator free to use?
Yes, all our calculators are completely free and require no registration or signup.
Are the results accurate?
Yes, we use standard mathematical formulas validated internationally. For critical applications in systems design or cryptography, we recommend consulting with a specialist.
Do you store my calculations or personal data?
No. All calculations run directly in your browser. We don't send any data to our servers or store any information about your calculations.