Hexadecimal Calculator

Professional hex calculator with number system conversions and hexadecimal arithmetic operations

Conversion Result

0 Decimal
Original Value: 0
From System: Hexadecimal
Converted Value: 0
To System: Decimal

All Representations:

Hexadecimal: 0
Decimal: 0
Binary: 0
Octal: 0

Arithmetic Result

0 Hexadecimal
First Number (Hex): 0
First Number (Dec): 0
Second Number (Hex): 0
Second Number (Dec): 0
Result (Hex): 0
Result (Dec): 0

Keypad Conversion

0 Hexadecimal

Number System Conversions:

Hexadecimal (Base 16): 0
Decimal (Base 10): 0
Binary (Base 2): 0
Octal (Base 8): 0

Hexadecimal Reference

Quick reference table for hexadecimal digit values and common conversions.

Hex Digit Reference

Hex Digits (0-F):

0 (Hex) 0 (Dec) | 0000 (Bin)
1 (Hex) 1 (Dec) | 0001 (Bin)
2 (Hex) 2 (Dec) | 0010 (Bin)
3 (Hex) 3 (Dec) | 0011 (Bin)
4 (Hex) 4 (Dec) | 0100 (Bin)
5 (Hex) 5 (Dec) | 0101 (Bin)
6 (Hex) 6 (Dec) | 0110 (Bin)
7 (Hex) 7 (Dec) | 0111 (Bin)
8 (Hex) 8 (Dec) | 1000 (Bin)
9 (Hex) 9 (Dec) | 1001 (Bin)
A (Hex) 10 (Dec) | 1010 (Bin)
B (Hex) 11 (Dec) | 1011 (Bin)
C (Hex) 12 (Dec) | 1100 (Bin)
D (Hex) 13 (Dec) | 1101 (Bin)
E (Hex) 14 (Dec) | 1110 (Bin)
F (Hex) 15 (Dec) | 1111 (Bin)

How to Use the Hexadecimal Calculator

Our comprehensive hexadecimal calculator provides four powerful tools for working with hexadecimal numbers and number system conversions:

🔄 Number System Converter

Convert numbers between hexadecimal (base 16), decimal (base 10), binary (base 2), and octal (base 8) number systems. Enter a number in any base and instantly see its equivalent in all other bases. Perfect for computer science, programming, and digital electronics work.

🔢 Hexadecimal Arithmetic

Perform arithmetic operations (addition, subtraction, multiplication, division) directly with hexadecimal numbers. Results are shown in both hex and decimal formats with detailed breakdowns. Essential for low-level programming and memory address calculations.

⌨️ Interactive Hex Keypad

Use the on-screen hexadecimal keypad to input hex numbers (0-9, A-F) and instantly convert to all number systems. Features clear and backspace functionality for easy editing. Ideal for quick hex number entry and experimentation.

📚 Reference Table

Complete reference showing hexadecimal digits (0-F) with their decimal and binary equivalents. Quick lookup table for understanding hex digit values and their relationships to other number systems.

🎯 Key Features

• Multiple Number Systems: Hex, decimal, binary, and octal conversions
• Real-time Conversion: Instant results as you type or select numbers
• Hexadecimal Arithmetic: Full math operations in hex with decimal equivalents
• Interactive Keypad: Visual hex input with A-F letter support
• Complete Reference: Hex digit lookup table with binary patterns
• Professional Accuracy: Precise conversions for programming and engineering use

All calculations follow standard computer science conventions and provide accurate results for programming, digital design, and mathematical applications.

Frequently Asked Questions

What is hexadecimal and why is it used?
Hexadecimal (base 16) uses digits 0-9 and letters A-F to represent values 0-15. It's widely used in computing because it's more compact than binary while maintaining a direct relationship - each hex digit represents exactly 4 binary bits. This makes it perfect for representing memory addresses, colors, and data in programming.
How do you convert hexadecimal to decimal?
To convert hex to decimal, multiply each digit by its position value (powers of 16) and sum the results. For example, hex "2F" = (2 × 16¹) + (15 × 16⁰) = 32 + 15 = 47 decimal. Our calculator handles this automatically for any size hex number.
What do the letters A, B, C, D, E, F represent in hex?
In hexadecimal, letters represent values beyond 9: A=10, B=11, C=12, D=13, E=14, F=15. This allows a single digit to represent values 0-15, making hex notation more compact than decimal for computer applications where groups of 4 bits are common.
How is hexadecimal related to binary?
Each hexadecimal digit corresponds to exactly 4 binary bits. For example, hex F = binary 1111, hex 8 = binary 1000. This direct relationship makes hex an ideal shorthand for binary numbers in programming and digital systems, as it reduces long binary strings to manageable hex notation.
Can I perform arithmetic operations in hexadecimal?
Yes! You can add, subtract, multiply, and divide hexadecimal numbers just like decimal numbers, but using base 16 rules. Our calculator performs these operations directly in hex and shows both hex and decimal results, making it easy to verify calculations and understand the relationships.