Number Base Calculator

This Number Base Calculator is an all-in-one tool for programmers, supporting Hexadecimal (HEX), Decimal (DEC), Octal (OCT), and Binary (BIN). It allows for seamless conversions and mixed operations between these number systems.

How to Use the Number Base Calculator

1. Select Mode: Click the mode buttons (HEX, DEC, OCT, BIN) to switch between different number systems. The keyboard will update automatically, enabling only the valid digits for the current base.
2. Enter Calculation: Use the keyboard to input expressions. It supports basic arithmetic operations (+, -, ×, ÷).
3. Real-time Results: Results update in real-time as you type. Switching modes automatically converts the current result and expression to the new base.

Key Features

• Smart Keyboard: Invalid keys for the current mode (e.g., 'A-F' in decimal mode) are automatically disabled to prevent input errors.
• Instant Conversion: Switch bases at any time to see the equivalent value of your current calculation in HEX, DEC, OCT, or BIN.
• Integer Precision: Designed for programming tasks, it uses integer arithmetic for precise calculations.

Introduction to Number Systems

Learn about the four common number systems used in computing:

• Hexadecimal (Base 16): Uses digits 0-9 and letters A-F. Often used in computer science to represent binary code in a human-readable format.
• Decimal (Base 10): The standard system used in everyday life, with digits 0-9.
• Octal (Base 8): Uses digits 0-7. Historically used in computing for scenarios like Unix file permissions.
• Binary (Base 2): Uses only the digits 0 and 1. It is the fundamental language of computers.

Conversion Examples

Here are the common formulas for number base conversions: