Hex Calculator
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
- 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.
- Input Calculations: Enter your expression using the keypad. Support for basic arithmetic operations (+, -, ×, ÷).
- 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
