Hex Calculator

Category: Algebra and General
- April 04, 2025
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Convert between decimal, hexadecimal, binary, and octal number systems. This calculator provides bit-level operations and complete conversion details.

Number Input

Bit Operations

Display Options

About Number Systems

Different number systems use different bases to represent values. The most common are decimal (base 10), hexadecimal (base 16), binary (base 2), and octal (base 8).

Hexadecimal (Base 16)

Hexadecimal uses 16 digits: 0-9 and A-F (where A=10, B=11, ..., F=15). It's commonly used in computing because each hexadecimal digit represents exactly 4 binary digits (bits).

For example, the hexadecimal value 0xFF = 255 in decimal and 0b11111111 in binary.

Bitwise Operations
  • Shift Left (≪): Moves all bits to the left, equivalent to multiplying by 2.
  • Shift Right (≫): Moves all bits to the right, equivalent to dividing by 2.
  • NOT (~): Inverts all bits (0 becomes 1, 1 becomes 0).
  • AND (&): Results in 1 only if both corresponding bits are 1.
  • OR (|): Results in 1 if at least one of the corresponding bits is 1.
  • XOR (⊕): Results in 1 if exactly one of the corresponding bits is 1.
Common Applications
  • Hexadecimal: Memory addresses, color codes (e.g., #FF5733 in HTML), file formats
  • Binary: Digital circuits, computer memory, low-level programming
  • Octal: File permissions in Unix/Linux systems

Hex Calculator: Simplifying Your Calculations

The Hex Calculator is a powerful yet straightforward tool designed to help you carry out various hexadecimal arithmetic operations and conversions effortlessly. Whether you’re handling addition, subtraction, multiplication, or division of hexadecimal values, or converting between hexadecimal and decimal systems, this tool has got you covered.

What is Hexadecimal?

Hexadecimal (or “hex”) is a base-16 number system commonly used in computer programming, digital electronics, and more. Unlike the decimal system (base-10), hex uses 16 digits: 0-9 and A-F, where A represents 10, B represents 11, and so forth. This makes it a compact way to represent binary values and is crucial in fields like coding and networking.

Features of the Hex Calculator

  • Arithmetic Operations: Perform addition, subtraction, multiplication, and division with hexadecimal values.
  • Hex to Decimal Conversion: Quickly convert any hexadecimal value into its decimal equivalent.
  • Decimal to Hex Conversion: Transform decimal numbers into hexadecimal format with ease.
  • Dynamic Results: Get real-time results displayed in both hexadecimal and decimal formats for clarity.

How to Use the Hex Calculator

1. Perform Arithmetic Operations

Follow these steps to calculate hexadecimal arithmetic:

  • Input Your Hex Values: Enter the two hexadecimal numbers in the provided fields.
  • Example: Enter 8AB in the first field and B78 in the second field.
  • Select the Operation: Choose from addition (+), subtraction (-), multiplication (×), or division (÷) using the dropdown menu.
  • Calculate the Result: Click the Calculate button to view the result.
  • Clear the Inputs: Use the Clear button to reset the fields for a new calculation.

Example Output: - Hex Value: 8AB + B78 = 1423 - Decimal Value: 2219 + 2936 = 5155

2. Convert Hexadecimal to Decimal

Here’s how to convert a hexadecimal value into decimal format:

  • Input the Hexadecimal Value: Enter your hex number into the input field. For example, type DAD.
  • Click Convert: Press the Convert button to instantly see the decimal equivalent.

Example Output: - Input: DAD - Result: Decimal Value: 3501

3. Convert Decimal to Hexadecimal

Converting decimal values to hexadecimal is just as straightforward:

  • Input the Decimal Value: Enter a decimal number into the input field. For example, type 170.
  • Click Convert: Press the Convert button to view the hexadecimal result.

Example Output: - Input: 170 - Result: Hexadecimal Value: AA

This table serves as a quick guide to check conversions and verify results.

Why Use This Calculator?

  • Time-Saving: Eliminate manual calculations with instant results.
  • Accurate: Ensure precise conversions and arithmetic.
  • User-Friendly: Simple interface designed for anyone to use.
  • Dual Output: Displays results in both hexadecimal and decimal formats for better understanding.

Tips for Effective Use

  • Ensure all hexadecimal inputs use valid characters (0-9, A-F).
  • For division, the second value must not be zero.
  • Use the Clear button to reset fields before starting a new calculation.

With the Hex Calculator, you can streamline your work and confidently handle hexadecimal operations and conversions. Start simplifying your calculations today!