Hex to Binary Converter - Convert Hexadecimal to Binary & More
Result:
FF (hex) = 11111111 (binary)
How Number System Conversion Works
Input Number
Enter number value
Select Bases
Choose number systems
Convert
Apply base formula
Conversion Formulas
Hex to Binary
Each hex digit = 4 binary digits
Example: F₁₆ = 1111₂, A₁₆ = 1010₂
Binary to Hex
Group 4 binary digits = 1 hex digit
Example: 1111₂ = F₁₆, 1010₂ = A₁₆
Hex to Decimal
Decimal = Σ(digit × 16ⁿ)
Example: 2A₁₆ = 2×16¹ + 10×16⁰ = 42₁₀
Binary to Decimal
Decimal = Σ(bit × 2ⁿ)
Example: 1010₂ = 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 10₁₀
Number System Conversion Table
| Decimal | Hexadecimal | Binary | Octal |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 |
| 2 | 2 | 10 | 2 |
| 3 | 3 | 11 | 3 |
| 4 | 4 | 100 | 4 |
| 5 | 5 | 101 | 5 |
| 6 | 6 | 110 | 6 |
| 7 | 7 | 111 | 7 |
| 8 | 8 | 1000 | 10 |
| 9 | 9 | 1001 | 11 |
| 10 | A | 1010 | 12 |
| 11 | B | 1011 | 13 |
| 12 | C | 1100 | 14 |
| 13 | D | 1101 | 15 |
| 14 | E | 1110 | 16 |
| 15 | F | 1111 | 17 |
Number System Progression Chart
A (hex)
F (hex)
1F (hex)
2A (hex)
64 (hex)
FF (hex)
Practice Problems
Problem 1:
Convert 3A (hex) to binary
Solution: 3A₁₆ = 111010₂
Problem 2:
Convert 11010110 (binary) to hex
Solution: 11010110₂ = D6₁₆
Problem 3:
Convert C8 (hex) to decimal
Solution: C8₁₆ = 12×16¹ + 8×16⁰ = 200₁₀
Problem 4:
Convert 101101 (binary) to octal
Solution: 101101₂ = 55₈
Problem 5:
Convert 127 (decimal) to hex
Solution: 127₁₀ = 7F₁₆
What is Hex to Binary Conversion?
Hex to binary conversion is the process of changing hexadecimal numbers (base 16) into binary numbers (base 2). This hex to binary converter makes it easy to convert between different number systems. Hexadecimal uses 16 digits (0-9 and A-F), while binary uses only 2 digits (0 and 1).
Our hex converter tool helps you quickly change hex numbers to binary format. Each hex digit equals exactly 4 binary digits. For example, the hex number F becomes 1111 in binary. This binary converter works both ways - you can convert hex to binary or binary to hex with ease.
This hexadecimal to binary converter is perfect for students, programmers, and anyone working with computer systems. The base 16 to base 2 conversion is common in programming and digital electronics. Our number system converter supports hex, binary, decimal, and octal conversions all in one tool.
How to Use This Hex to Binary Converter
Step-by-Step Guide
- Enter your hex number in the input box
- Select "Hexadecimal" as your starting format
- Choose "Binary" as your target format
- See the result appear instantly
- Copy or download your conversion result
Quick Tips
- Use letters A-F for hex digits 10-15
- Each hex digit makes 4 binary digits
- The converter works with any hex length
- Results update as you type
- Switch between different number systems easily
Common Hex to Binary Examples
Simple Examples
Two-Digit Examples
Larger Examples
Why Use Our Hex to Binary Converter?
Key Features
- ✓Fast and accurate hex to binary conversion
- ✓Support for multiple number systems
- ✓Real-time conversion as you type
- ✓Free to use with no registration
- ✓Works on all devices and browsers
Perfect For
- •Computer science students learning number systems
- •Programmers working with hex and binary data
- •Electronics engineers designing digital circuits
- •Anyone needing quick number system conversions
- •Web developers working with color codes
Daily Uses of Hex to Binary Conversion
Programming and software development projects
Digital electronics and computer hardware design
Network administration and IP address work
Web design color code conversions
Memory address calculations in embedded systems
Computer science education and learning
Frequently Asked Questions
How does hex to binary conversion work?
Hex to binary conversion works by replacing each hexadecimal digit with its 4-bit binary equivalent. For example, hex A becomes binary 1010, and hex F becomes binary 1111. Our hex to binary converter does this automatically for any hex number you enter.
What is the difference between hex and binary?
Hexadecimal (hex) uses base 16 with digits 0-9 and letters A-F, while binary uses base 2 with only digits 0 and 1. Hex is shorter and easier to read, but computers work with binary internally. This hexadecimal to binary converter helps bridge between these number systems.
Why do programmers use hex instead of binary?
Programmers use hex because it's much shorter than binary but still relates directly to binary. One hex digit represents exactly 4 binary digits, making it easier to read and write. Our hex converter shows both formats so you can see this relationship clearly.
Can I convert binary to hex with this tool?
Yes! This binary converter works both ways. You can convert hex to binary or binary to hex. Just select "Binary" as your input format and "Hexadecimal" as your output format. The number system converter supports all common bases.
What does base 16 to base 2 mean?
Base 16 to base 2 means converting from hexadecimal (which uses 16 different digits) to binary (which uses 2 different digits). Base 16 is another name for hexadecimal, and base 2 is another name for binary. Our converter handles this base 16 to base 2 conversion instantly.
Is this hex to binary converter accurate?
Yes, our hex to binary converter is completely accurate. It uses standard mathematical conversion methods that are the same ones used in computer systems. The converter has been tested with thousands of different hex numbers to ensure perfect accuracy.
Do I need to install anything to use this converter?
No installation needed! This hex converter works directly in your web browser. Just visit this page and start converting. It works on computers, tablets, and phones. The programming converter is completely free and always available online.
Export Options
Reverse Conversion
binary to hex →Popular Converters
Quick Reference
What is Hex to Binary Conversion?
Hex to binary conversion changes hexadecimal numbers into binary numbers. Hexadecimal uses 16 symbols (0-9 and A-F) while binary uses only 2 symbols (0 and 1). Our hex to binary converter makes this change easy and fast.
This hexadecimal to binary converter helps students and programmers work with different number systems. Each hex digit becomes exactly 4 binary digits. For example, hex A becomes binary 1010. The hex converter tool works both ways - you can convert hex to binary or binary to hex.
How to Use This Hex to Binary Converter
Simple Steps:
- Type your hex number in the input box
- Pick "Hexadecimal" as your starting format
- Choose "Binary" as your target format
- See the binary result appear right away
- Copy or save your conversion result
Common Uses:
- • Programming and software development
- • Computer science homework and learning
- • Digital electronics and circuit design
- • Web development color code work
- • Network administration tasks
Understanding Number Systems
Hexadecimal (Base 16):
Hexadecimal uses 16 different symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. The letters A through F represent the numbers 10 through 15. Programmers like hex because it's shorter than binary but still connects directly to how computers work.
Binary (Base 2):
Binary uses only 2 symbols: 0 and 1. This is the language computers understand best. Every piece of information in a computer gets stored as binary numbers. Binary numbers can get very long, which is why we often use hex as a shorter way to write them.
Why Convert Hex to Binary?
Computer programmers need to convert hex to binary because computers work with binary internally. When you write code or design digital circuits, you often see hex numbers that represent binary data. Our binary converter helps you understand what those hex numbers really mean.
Students learning computer science use hex to binary conversion to understand how number systems work. The hexadecimal to binary converter shows the relationship between different bases. This base 16 to base 2 conversion is a key skill in programming and electronics.
Web developers use hex for colors (like #FF0000 for red) and need to understand the binary values. Network engineers work with hex addresses that convert to binary for routing. Our number system converter handles all these needs in one easy tool.
Quick Conversion Examples
Single Digits
Two Digits
Larger Numbers
Frequently Asked Questions
How does hex to binary conversion work?
Each hex digit converts to exactly 4 binary digits. You can memorize the 16 basic conversions (0-F to 0000-1111) or use our hex to binary converter for instant results.
Why do programmers use hex instead of binary?
Hex is much shorter than binary but still relates directly to binary. One hex digit represents 4 binary digits, making it easier to read and write while staying close to how computers work.
Can this converter work backwards from binary to hex?
Yes! Our binary converter works both ways. Just select "Binary" as input and "Hexadecimal" as output. The number system converter supports all common bases including decimal and octal too.
Is this hex converter accurate for programming work?
Yes, our hexadecimal to binary converter uses the same methods that computers use internally. It's perfect for programming, electronics, and computer science work.
Real-World Applications
Programming & Development:
- • Memory address calculations
- • Color code conversions in web design
- • Debugging binary data in hex format
- • Assembly language programming
Electronics & Engineering:
- • Digital circuit design and analysis
- • Microcontroller programming
- • Network protocol analysis
- • Embedded systems development