HEX → DEC DEC → HEX

Bidirectional Conversion

Convert hex to decimal or decimal to hex with one tool. Switch modes instantly using the toggle button. Perfect for programmers, students, and engineers working with different number systems in electronics, computing, or mathematics.

Step-by-Step Solutions

See detailed calculation steps showing how each hex digit is converted. Perfect for learning, teaching, or verifying manual calculations. Understand the mathematical process with clear explanations of positional notation and power calculations.

Multi-Base Support

View binary and octal equivalents alongside decimal conversions. One input provides results in multiple number systems simultaneously. Essential for computer science students learning number system relationships and digital electronics engineers.

Instant Conversion

Real-time conversion as you type with no delays. All processing happens client-side in your browser for maximum speed and privacy. Handles up to 16-digit hexadecimal numbers (64-bit values) with perfect accuracy every time.

Conversion Tables

Quick reference tables showing hex, decimal, and binary equivalents for common values. No need to calculate basic conversions manually—reference tables provide instant lookup for frequently used hex values and their decimal equivalents.

Educational Tool

Perfect for learning number systems with clear formulas and examples. Students can verify homework, teachers can create demonstrations, and self-learners can understand hexadecimal concepts through interactive practice with immediate feedback.

Hex to Decimal Formula:

Decimal = \(d_n × 16^n + d_{n-1} × 16^{n-1} + ... + d_1 × 16^1 + d_0 × 16^0\)

💻 Programming & Development

Convert hex memory addresses, debug machine code, work with hexadecimal literals in C, Java, Python, or JavaScript. Essential for low-level programming, embedded systems, and understanding pointer arithmetic or memory dumps in debuggers.

🎨 Web Design & Colors

Understand RGB color codes where colors are represented as hex (e.g., #FF0000 = red). Convert hex color values to decimal RGB components for CSS calculations, image processing, or graphics programming. Essential for designers and frontend developers.

🔌 Electronics & Hardware

Read hexadecimal register values from microcontrollers, interpret hardware addresses, configure network devices with hex MAC addresses, or work with I2C/SPI device addresses. Critical for embedded engineers and hardware developers working with datasheets.

🎓 Computer Science Education

Learn number systems, understand computer architecture, complete homework assignments, or verify manual calculations. Students studying digital logic, computer organization, or assembly language need hexadecimal conversions regularly for coursework and labs.

🔐 Cryptography & Security

Interpret hexadecimal hash values (MD5, SHA-256), analyze encryption keys, read SSL certificate fingerprints, or work with hexadecimal-encoded security tokens. Security professionals and cryptographers frequently encounter hex representations of binary data.

📊 Data Analysis

Parse hexadecimal data from binary files, interpret network packet captures, decode hexdumps, or analyze raw data formats. Data scientists and forensic analysts use hex conversions when examining file formats, protocols, or recovering corrupted data.

To convert hex to decimal, multiply each hex digit by 16 raised to its position power (starting from 0 on the right), then sum the results. For example, hex 1A = (1 × 16¹) + (A × 16⁰) = (1 × 16) + (10 × 1) = 16 + 10 = 26 decimal. Our calculator does this automatically and shows you each step of the calculation for learning purposes.

In hexadecimal, letters A-F represent decimal values 10-15. Specifically: A=10, B=11, C=12, D=13, E=14, F=15. These letters extend the digit set beyond 0-9 to create 16 unique symbols needed for base-16 notation. Both uppercase and lowercase letters are acceptable (A-F or a-f), and they're used interchangeably in hex notation.

Hexadecimal is compact and aligns perfectly with binary. One hex digit represents exactly 4 bits, so a byte (8 bits) is represented by 2 hex digits. This makes hex much shorter and easier to read than binary. For example, binary 11111111 is simply FF in hex. Programmers use hex for memory addresses, color codes, machine code, and debugging because it's more human-readable than long binary strings.

The "0x" prefix indicates that a number is in hexadecimal format in most programming languages (C, C++, Java, JavaScript, Python). For example, 0x1A means 1A in hex (26 in decimal). This prevents confusion when hex contains only digits 0-9 that look like decimal numbers. Without the prefix, "10" could mean ten (decimal) or sixteen (hex), so 0x10 explicitly means hex 10 = decimal 16.

Hexadecimal numbers themselves aren't inherently positive or negative—they're just representations. In programming, negative numbers use two's complement representation (for signed integers) where the high bit indicates sign. For example, 0xFF can be 255 (unsigned) or -1 (signed 8-bit). Our basic converter handles unsigned values. For signed hex, you need to specify bit width and use two's complement interpretation.

Our converter supports up to 16 hex digits (FFFFFFFFFFFFFFFF), which equals 18,446,744,073,709,551,615 in decimal (64-bit unsigned integer max). This covers the full range of 64-bit values used in modern computing. For most practical purposes—memory addresses, color codes, hardware registers—you'll use much smaller values (typically 2-8 hex digits).