🔢 NumSysConverter

A comprehensive Number System Converter that performs conversions between Binary, Decimal, Octal, and Hexadecimal number systems. Available in both C and Python implementations.

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✨ Features

The program supports 12 conversion operations covering all possible pairs among the four major number systems:

#	Conversion	Direction
1	Binary → Decimal	Base 2 → Base 10
2	Octal → Decimal	Base 8 → Base 10
3	Hexadecimal → Decimal	Base 16 → Base 10
4	Decimal → Binary	Base 10 → Base 2
5	Decimal → Octal	Base 10 → Base 8
6	Decimal → Hexadecimal	Base 10 → Base 16
7	Binary → Octal	Base 2 → Base 8
8	Octal → Binary	Base 8 → Base 2
9	Binary → Hexadecimal	Base 2 → Base 16
10	Hexadecimal → Binary	Base 16 → Base 2
11	Octal → Hexadecimal	Base 8 → Base 16
12	Hexadecimal → Octal	Base 16 → Base 8

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📁 Project Structure

Conversions/
├── C programming/
│   ├── Conversions.c              # Core C implementation
│   ├── Conversions.exe            # Compiled executable
│   ├── Conversions (Arrays).c     # Array-based C implementation
│   ├── Conversions (Arrays).exe   # Compiled executable (array version)
│   └── conversions arrays video.mp4  # Demo video
├── Python/
│   └── Conversions.py             # Python implementation
└── README.md

Two C Implementations

• Conversions.c — Standard implementation using individual digit input.
• Conversions (Arrays).c — Alternative array-based implementation with the same functionality.

Python Implementation

• Conversions.py — Cleaner, Pythonic version with streamlined string-based input (enter the full number at once instead of digit-by-digit).

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🚀 Getting Started

Prerequisites

• C: A C compiler such as GCC or MSVC
• Python: Python 3.x

Running the C Version

# Compile
gcc "C programming/Conversions.c" -o conversions -lm

# Run
./conversions

On Windows with the pre-built executable:

"C programming\Conversions.exe"

Running the Python Version

python Python/Conversions.py

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📖 Usage

Both versions present an interactive menu-driven interface. On launch, you'll see:

List of Conversions
1.Binary -> Decimal
2.Octal -> Decimal
3.Hexa Decimal -> Decimal
4.Decimal -> Binary
5.Decimal -> Octal
6.Decimal -> Hexadecimal
7.Binary -> Octal
8.Octal -> Binary
9.Binary -> Hexa Decimal
10.Hexa Decimal -> Binary
11.Octal -> Hexa Decimal
12.Hexa Decimal -> Octal
Enter number which Conversion you want -

Example — Binary to Decimal

Python version:

Enter number which Conversion you want - 1
You selected Binary -> Decimal
Enter the binary number: 1101
The final answer is: 13

Example — Decimal to Hexadecimal

Python version:

Enter number which Conversion you want - 6
You selected Decimal -> Hexa Decimal
Enter the Decimal number: 255
The final answer is: FF

The program runs in a loop, allowing you to perform multiple conversions in a single session.

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⚙️ How It Works

The converter uses the following core algorithms:

Function	Purpose
any_radix_to_dec	Converts any base (2, 8, 16) to decimal using positional weights
dec_to_any_radix	Converts decimal to any base using repeated division
bin_to_oct	Groups binary digits in 3s to produce octal digits
oct_to_bin	Maps each octal digit to its 3-bit binary representation
bin_to_hexadec	Groups binary digits in 4s to produce hexadecimal digits
hexadec_to_bin	Maps each hex digit to its 4-bit binary representation

For cross-base conversions (e.g., Octal ↔ Hexadecimal), the program uses binary as an intermediate representation — first converting to binary, then to the target base.

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✅ Input Validation

Both implementations include input validation:

• Binary inputs only accept 0 and 1
• Octal inputs only accept digits 0–7
• Decimal inputs only accept digits 0–9
• Hexadecimal inputs accept 0–9 and A–F (case-insensitive)
• The C version prompts digit-by-digit with re-entry on invalid input
• The Python version accepts the full number as a string for a smoother experience

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🤝 Contributing

Contributions are welcome! Feel free to open issues or submit pull requests for:

• Bug fixes
• New number system support (e.g., Base64)
• GUI or web-based interface
• Unit tests

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📄 License

This project is open source and available for educational purposes.

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👤 Author

Sanjay kumar Chitturi

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💡 Built as a learning project to understand number system conversions and algorithm implementation across multiple programming languages.