Hexadecimal Calculator

Introduction to the Hexadecimal System

The hexadecimal (or “hex”) number system is a base-16 numeral system commonly used in computing and digital electronics. Unlike the decimal system (base-10), which uses digits 0 through 9, the hex system extends the digit set with six additional symbols: A (10), B (11), C (12), D (13), E (14), and F (15). This allows for compact representation of binary data, especially in programming, memory addressing, and color codes in web development.

Hexadecimal numbers are widely used in:

  • Computer programming for memory pointers and machine code.
  • Web design to define colors using hex color codes (e.g., #FFFFFF for white).
  • Microcontrollers and embedded systems to simplify binary interactions.
hex calculator

Hexadecimal Arithmetic Operations

Our hex calculator supports a full suite of arithmetic and logical operations in the hexadecimal number system.

Supported Arithmetic Operations:

  • Hex Addition: Add two hexadecimal numbers and get the result in hex, decimal, and binary.
  • Hex Subtraction: Subtract one hex number from another with real-time output.
  • Hex Multiplication: Multiply hexadecimal values with support for large operands.
  • Hex Division: Divide one hex number by another and show quotient and remainder in multiple bases.

Bitwise Logic Operations:

Perform logical operations on binary representations of hexadecimal inputs:

  • Bitwise AND: Returns bits set in both operands.
  • Bitwise OR: Returns bits set in either operand.
  • Bitwise XOR: Returns bits set in only one operand.
  • Bitwise NOT: Inverts the bits of a hexadecimal value.

Bit Shift Operations:

  • Left Shift (<<): Shifts all bits to the left, appending zeros.
  • Right Shift (>>): Shifts bits to the right, useful for compression or binary division.

All operations provide instant conversions to decimal, binary, and hexadecimal formats.

Number Base Conversions

Hex to Decimal Converter:

Easily convert a hexadecimal value (e.g., 2F) into its decimal equivalent. Our calculator parses each digit and computes the base-10 result using powers of 16.

Decimal to Hex Converter:

Convert any base-10 number into hexadecimal format. Especially useful for software development and debugging tasks.

Hex to Binary Converter:

Visualize how hex values translate into binary (base-2), where each hex digit corresponds to 4 binary bits (nibbles).

Binary to Hex Converter:

Enter binary strings to receive clean hex equivalents—ideal for digital circuit design and low-level programming.

Other supported conversions:

  • Octal to Hex
  • Hex to Octal
  • ASCII to Hex and Hex to ASCII

User Interface and Input Options

hexadecimal calculator infographic

Our hex calculator features a clean, intuitive interface optimized for both desktop and mobile use.

  • Operand Input Fields: Enter numbers in hex, decimal, or binary.
  • Operation Selector: Use dropdowns or radio buttons to choose arithmetic or bitwise functions.
  • Output Display: Instantly see results in all numeral systems (hex/dec/bin).
  • Control Buttons: Clear inputs, swap operands, or perform calculations with one click.

Real-time validation ensures correct formatting (e.g., disallowing non-hex characters).

Educational Resources & Tutorials

To help both students and professionals, we include comprehensive learning aids:

Learn Hex Arithmetic:

Step-by-step tutorials for performing hexadecimal addition, subtraction, multiplication, and division manually and with a calculator.

Base Conversion Guides:

Understand how to convert between hexadecimal, binary, decimal, and octal with illustrated walkthroughs.

Practice Problems:

Try your hand at real problems with instant solution feedback—perfect for test prep or learning programming concepts.

Frequently Asked Questions (FAQs)

What is a hexadecimal calculator?

A hexadecimal calculator is a tool for performing arithmetic and logical operations on base-16 numbers (0–9, A–F). Used in computing for tasks like memory address calculations or color code conversions, it supports operations like addition, subtraction, bitwise operations, and conversions to decimal, binary, or octal. Available as software, online tools, or in programming environments.

Why use hexadecimal instead of binary?

Hex simplifies long binary strings. For instance, 1111 1111 becomes just FF.

What are common hex values in computing?

  • 0xA0, 0xC0 in character encoding
  • 0xFF (255 in decimal) for full 8-bit representation
  • 0x00 for null or zeroed values