Convert any hexadecimal (base 16) number into decimal, binary, or octal format. This tool is helpful for programmers, engineers, and students working with different number systems.
1F = Decimal 31, Binary 11111The Hex Calculator is a specialized tool designed to work with hexadecimal (base-16) numbers. Hexadecimal numbers are widely used in computer programming, digital electronics, and networking due to their compact representation of binary data. Whether you're a software developer, engineering student, or IT professional, this calculator simplifies conversions and arithmetic operations involving hex numbers.
A hexadecimal number, or hex number, is a base-16 numeral system that uses sixteen symbols: 0–9 for values zero to nine and A–F (or a–f) for values ten to fifteen. For example, the decimal number 255 is represented as FF in hexadecimal. Hex is commonly used to express binary-coded values in a more human-readable form.
Our online Hex Calculator supports a range of functions including:
To convert hex to decimal, each digit is multiplied by 16 raised to its position index (right to left, starting from 0).
Example: Hex: 1A3
(1 × 16²) + (10 × 16¹) + (3 × 16⁰) = 256 + 160 + 3 = 419 (Decimal)
Just like decimal addition, but each digit must be calculated in base-16. For instance:
Example: A + 5 = F (10 + 5 = 15 in decimal = F in hex)
Similar to decimal subtraction but with base-16 rules. Borrowing applies where needed.
Hex values are multiplied digit by digit and then converted into hexadecimal.
Example: 3 × B = 33 (3 × 11 = 33 decimal = 21 hex)
Hex division requires converting to decimal, performing the division, then converting back to hex.
| Decimal | Binary | Hexadecimal |
|---|---|---|
| 10 | 1010 | A |
| 15 | 1111 | F |
| 255 | 11111111 | FF |
Hex numbers are integral to web design. Color codes like #FFFFFF (white), #000000 (black), or #FF0000 (red) use hexadecimal to define RGB values. Each pair of digits represents a color component (Red, Green, Blue).
Example: #FF5733 = Red: FF (255), Green: 57 (87), Blue: 33 (51)
Bitwise operations like AND, OR, XOR, and NOT are performed directly on the binary equivalents of hex values.
Example: A = 1010, 5 = 0101
A AND 5 = 0000 = 0 (Hex)
Yes, both uppercase (A–F) and lowercase (a–f) are valid in hexadecimal numbers.
Hexadecimal is base-16 and more compact. One hex digit = four binary digits. It’s often used to simplify long binary codes.
Yes. Hex codes can be converted to ASCII characters. Example: 48 65 6C 6C 6F = "Hello"
FF = 255 (in decimal)
Here’s how to convert hex to decimal in JavaScript:
let hex = "1A3";
let decimal = parseInt(hex, 16);
console.log(decimal); // Outputs: 419Our Hex Calculator is a must-have tool for students, developers, and engineers who work with hexadecimal numbers. From basic conversions to complex arithmetic and bitwise operations, it provides all the functionality you need in a clean and easy-to-use interface. Whether you're debugging code, learning computer science, or working with digital circuits, this tool makes working with base-16 a breeze.
Use our free Hex Calculator to convert between hexadecimal, binary, and decimal formats. Perform hex arithmetic, bitwise operations, and view instant results with explanations.
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Each hexadecimal digit represents exactly four binary digits (bits). This makes it extremely easy to convert between hex and binary manually without complex calculations.
Example: Convert hex number 2F to binary.
Answer: 2F (hex) = 00101111 (binary)
Group binary digits in sets of four from right to left and convert each group to its corresponding hex value.
Example: Convert binary 11011011 to hex.
Answer: 11011011 (binary) = DB (hex)
Hexadecimal numbers are widely used in various programming languages. Here's how they are represented:
0x1F0x1F0x1F1FhThis representation helps programmers quickly define memory addresses, bit masks, or colors using hex.
Users new to hexadecimal often make mistakes that our calculator helps prevent:
0x prefix)Our Hex Calculator auto-detects these issues and guides users through correct formatting and input handling.
Professionals and students working in electrical engineering and computer science often need to perform complex hex operations. This includes:
With our calculator, you can easily enter large hex values and carry out advanced operations without switching between tools.
Negative numbers in hexadecimal are commonly represented using two’s complement notation. Here's how it works:
Example: -1 in 8-bit hex = FF
Hexadecimal values are used in networking protocols to represent IP addresses, especially IPv6.
Example: IPv6 address: 2001:0db8:85a3:0000:0000:8a2e:0370:7334
Each block here is a hexadecimal value representing a segment of the 128-bit address.
Security tools often display hash values like MD5, SHA-1, and SHA-256 in hexadecimal format. These hex strings represent the raw binary hash in a readable way:
Our calculator helps in decoding, encoding, and verifying hexadecimal values in cryptographic use cases.
Instead of dealing with long strings of binary digits, hexadecimal compresses binary into shorter, readable blocks. This makes debugging and data representation more manageable.
Example: Binary 111111111111 = Hex FFF
Microcontrollers like Arduino, Raspberry Pi, and ARM chips use hexadecimal to define register values, configuration settings, and memory allocations. It's crucial in:
| Decimal | Hexadecimal | Binary |
|---|---|---|
| 0 | 0 | 0000 |
| 10 | A | 1010 |
| 15 | F | 1111 |
| 31 | 1F | 00011111 |
| 255 | FF | 11111111 |
| 4096 | 1000 | 1000000000000 |
We’re working on adding even more functionality to our Hex Calculator:
The Hex Calculator is more than a basic conversion tool—it’s a comprehensive digital assistant for developers, engineers, and tech learners. Whether you need to troubleshoot code, design web pages, study computer architecture, or perform bitwise operations, this tool provides a reliable and efficient experience.
Explore our full suite of calculators and converters at Easy Converters, and take your math, programming, and electronics skills to the next level.