Hexadecimal Calculator

Digits: 0-9, A-F (case insensitive)
Please enter a valid hexadecimal number
Digits: 0-9, A-F (case insensitive)
Please enter a valid hexadecimal number

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Calculation Result

A1F + 2C =
A4B
(Decimal: 2635)
(Binary: 101001001011)
A1F
First Hex
2C
Second Hex
2591
First Decimal
44
Second Decimal

Calculation Steps

Convert hex to decimal: A1F₁₆ = 2591₁₀, 2C₁₆ = 44₁₀
Perform operation: 2591 + 44 = 2635
Convert result to hex: 2635₁₀ = A4B₁₆

Hexadecimal Calculator Guide

What is Hexadecimal?

Hexadecimal (or hex) is a base-16 numeral system that uses sixteen distinct symbols: 0-9 to represent values zero to nine, and A-F (or a-f) to represent values ten to fifteen. It's widely used in computing as a more human-friendly representation of binary-coded values.

Each hexadecimal digit represents four binary digits (bits), which makes it convenient for representing large binary numbers. For example, a single byte (8 bits) can be represented as two hexadecimal digits.

How to Use This Hexadecimal Calculator

Using our hexadecimal calculator is simple and intuitive:

  1. Enter hex numbers - Input two hexadecimal numbers (digits 0-9 and A-F)
  2. Select operation - Choose addition, subtraction, multiplication, or division
  3. Calculate - Click the calculate button to see the result in hex, decimal, and binary
  4. View conversions - Use the conversion buttons to convert between number systems

The calculator automatically validates your input and provides detailed step-by-step calculations.

Hexadecimal Number System Basics

The hexadecimal system is a positional numeral system with a base of 16. Each position in a hexadecimal number represents a power of 16, with the rightmost position representing 16⁰, the next representing 16¹, then 16², and so on.

For example, the hexadecimal number A1F represents:

  • A (10) × 16² = 10 × 256 = 2560
  • 1 × 16¹ = 1 × 16 = 16
  • F (15) × 16⁰ = 15 × 1 = 15

Adding these values together: 2560 + 16 + 15 = 2591 in decimal.

Applications of Hexadecimal

Hexadecimal has numerous practical applications in computing and digital technology:

  • Memory Addressing - Hexadecimal is commonly used to represent memory addresses in computers
  • Color Representation - Web colors are often specified in hexadecimal format (e.g., #FF5733)
  • Assembly Language - Machine code and assembly language often use hexadecimal notation
  • Network Protocols - Many network protocols use hexadecimal for packet headers and data
  • Debugging - Programmers use hex dumps to examine binary data
  • File Formats - File signatures and magic numbers are often represented in hex
hexadecimal calculator hex calculator hex arithmetic hex addition hex subtraction hex multiplication hex division hex to decimal decimal to hex hex to binary base 16 calculator

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