Hex Calculator

Convert between hexadecimal, decimal, binary, and octal number systems. Essential for programming and digital systems.

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Hex Calculator

Convert and calculate with hexadecimal numbers, perform base conversions and arithmetic operations

Hexadecimal Calculator

Enter a whole number (0-16777215)

🔢 Hex Reference

Dec
Hex
Dec
Hex
10
A
16
10
11
B
17
11
12
C
18
12
13
D
19
13
14
E
20
14
15
F
21
15

Decimal

255

Base 10

Hexadecimal

FF

Base 16

Binary

11111111

Base 2

Octal

377

Base 8

Hex Details

Uppercase:FF
Lowercase:ff
With 0x prefix:0xFF
Formatted:FF

Powers of 16

16¹ = 16 (10₁₆)
16⁴ = 65,536 (10000₁₆)
16² = 256 (100₁₆)
16⁵ = 1,048,576 (100000₁₆)
16³ = 4,096 (1000₁₆)
16⁶ = 16,777,216 (1000000₁₆)

1Mastering Hex Calculations

Convert and calculate with hexadecimal numbers and operations. Whether you're a student, educator, or professional, understanding the mathematical principles behind hex will enhance your problem-solving abilities. This guide breaks down complex concepts into understandable components and provides practical applications for real-world scenarios.

Mathematical Foundations

The underlying mathematics involves fundamental principles that have wide-ranging applications. Understanding these concepts helps you: • Verify calculator results manually • Apply knowledge to related problems • Develop mathematical intuition • Solve more complex variations • Teach others effectively

Step-by-Step Problem Solving

Approach problems systematically: 1. Identify what you're solving for 2. Gather all necessary information 3. Choose the appropriate formula 4. Perform calculations carefully 5. Verify results make sense 6. Consider alternative methods


2Real-World Applications

Mathematical concepts aren't just theoretical - they have practical applications in many fields.

Professional Applications

Professionals in various fields use these calculations: • Engineers for design and analysis • Scientists for research and experiments • Financial analysts for modeling • Architects for planning and construction • Data scientists for analysis and predictions

Educational Value

For students and educators: • Builds foundational math skills • Develops logical thinking • Prepares for advanced topics • Provides exam preparation • Enables peer tutoring and collaboration

This comprehensive guide is regularly updated to ensure accuracy. Last reviewed: 7/25/2025

Frequently Asked Questions

What is hexadecimal?

Hexadecimal is base-16 numbering using digits 0-9 and letters A-F (representing 10-15). It's commonly used in computing for memory addresses and color codes.

How do I convert hex to decimal?

Multiply each digit by 16 raised to its position power (starting from 0 on the right), then sum. Example: 2A = 2×16¹ + 10×16⁰ = 42.

Why use hex in programming?

Hex is more compact than binary and aligns perfectly with bytes (2 hex digits = 1 byte). It's easier to read than long binary strings.