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Hex Calculator

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Guide to the Hex Calculator

The Hex Calculator is an All-in-One programmer's tool that supports Hexadecimal (HEX), Decimal (DEC), Octal (OCT), and Binary (BIN) number systems. It allows for seamless conversion and arithmetic operations across these bases.

How to Use

  1. Select Mode: Click the mode buttons (HEX, DEC, OCT, BIN) to switch between different number systems. The keyboard will automatically update to enable only the valid digits for the selected base.
  2. Input Calculations: Enter your expression using the keypad. Support for basic arithmetic operations (+, -, ×, ÷).
  3. Real-time Results: The result is updated instantly as you type. Switching modes will automatically convert the current result and expression to the new base.

Key Features

  • Smart Keypad: Keys that are invalid for the current mode (e.g., 'A-F' in Decimal mode) are automatically disabled to prevent errors.
  • Instant Conversion: Switch between bases at any time to see the equivalent value of your current calculation in HEX, DEC, OCT, or BIN.
  • Integer Precision: Designed for programmer tasks, performing calculations using integer arithmetic.

Number Systems Explained

Understanding the four common number systems used in computing:

  • Hexadecimal (Base 16): Uses digits 0-9 and letters A-F. Commonly used in computer science to represent binary code in a human-readable format.
  • Decimal (Base 10): The standard system for daily use, employing digits 0-9.
  • Octal (Base 8): Uses digits 0-7. Historically used in computing contexts like file permissions on Unix systems.
  • Binary (Base 2): Expenses digits 0 and 1. The fundamental language of computers.

Conversion Examples

Here are common formulas for converting between number systems:

Hex to Decimal: Multiply each digit by 16 raised to the power of its position, e.g. (1A): 1×16¹ + 10×16⁰ = 16 + 10 = 26

Decimal to Hex: Divide the number by 16 and record the remainders, e.g. (26): 26 ÷ 16 = 1 remainder 10 (A) -> 1A

Octal to Decimal: Multiply each digit by 8 raised to the power of its position, e.g. (32): 3×8¹ + 2×8⁰ = 24 + 2 = 26

Binary to Decimal: Multiply each digit by 2 raised to the power of its position, e.g. (11010): 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 16 + 8 + 0 + 2 + 0 = 26