Mixed-Base Arithmetic Calculator

Perform addition and subtraction on numbers from different numeral systems with our versatile Mixed-Base Calculator. This powerful tool allows you to input two numbers, each in a unique base from 1 (Unary) to 16 (Hexadecimal), and get the result in any base you choose. Powered by `BigInt`, it handles very large numbers with precision, making it perfect for computer science students, programmers, and math enthusiasts.

How It Works

Our calculator is designed for flexible, real-time calculations across different number systems.

  1. Enter Your Numbers & Bases: For both Number 1 and Number 2, type the value and select its corresponding base from the dropdown menu.
  2. Choose an Operation: Select either addition (+) or subtraction (-) as your desired operation.
  3. Set the Output Base: Choose the base in which you want the final result to be displayed.
  4. View Instant Results: The calculation is performed automatically, and the result is shown in real-time.

Key Features

  • True Mixed-Base Arithmetic: The core feature allows you to perform operations on numbers from different bases, such as adding a Hexadecimal number to a Binary number.
  • Wide Base Support (1-16): Supports any integer base from Base 1 (Unary) to Base 16 (Hexadecimal), including common systems like Binary, Octal, and Decimal.
  • Special Unary (Base 1) Handling: Includes unique support for the Unary numeral system, where the number `n` is represented by `n` ones (e.g., `4` is `1111`).
  • Large Number Support: Utilizes `BigInt` to accurately perform calculations with very large numbers that exceed the limits of standard JavaScript numbers.
  • Live Input Validation: The tool instantly checks if the digits you enter are valid for the selected base (e.g., 'F' is valid for Hex but not for Decimal), preventing errors.
  • Real-Time Calculation: All results update instantly as you type or change any base or operation selection.
  • Clear Error Messaging: Provides helpful error messages for invalid inputs or for results that cannot be represented (e.g., a negative Unary number).
  • Convenient Copy Button: Easily copy the final result to your clipboard with a single click.

How to Use the Calculator

  1. Step 1: Set Up First Number
    In the "Number 1" section, type your number and select its base from the adjacent dropdown.
  2. Step 2: Set Up Second Number
    In the "Number 2" section, type your second number and select its respective base.
  3. Step 3: Choose Operation & Output
    Click the `+` or `-` button to set the operation. Then, use the "Output Base" dropdown to choose the format for your answer.
  4. Step 4: Get and Copy Result
    The result is displayed automatically in the "Result" area. Click the copy icon to save it.

Find Our Tool

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