- by x32x01 ||
Number Systems 📊: Everything You Need to Know for Programming & Networking
Are you new to programming or cybersecurity? 🤔
The first step to understanding any programming language or network data is mastering Number Systems.
In this article, we'll cover all the main number systems: Binary, Decimal, Octal, and Hexadecimal, and explain them in a simple, practical way.
Each system has a Base that defines how many symbols it uses:

The course covers:
Start with the basics, try practical exercises, and follow online courses to master them quickly. 🔥
Remember, knowing these systems will make programming, networking, and cybersecurity much easier.
Are you new to programming or cybersecurity? 🤔
The first step to understanding any programming language or network data is mastering Number Systems.
In this article, we'll cover all the main number systems: Binary, Decimal, Octal, and Hexadecimal, and explain them in a simple, practical way.
What is a Number System? 💡
A Number System is a way to represent numbers using a set of symbols.Each system has a Base that defines how many symbols it uses:
- Decimal (Base 10): uses numbers 0-9.
- Binary (Base 2): uses 0 and 1 only. Essential in programming and networking.
- Octal (Base 8): uses numbers 0-7.
- Hexadecimal (Base 16): uses 0-9 and letters A-F. Very important in cybersecurity.
Why Number Systems Matter 🚀
- Programming: Most programming languages work internally with Binary.
- Networking: IP addresses and Subnet Masks rely on Binary.
- Cybersecurity: Payloads, exploits, and encoding often require understanding Hexadecimal.
Converting Between Number Systems 🔄
1. Decimal to Binary
You can convert decimal numbers to binary using division by 2: Python:
# Python example
decimal = 23
binary = bin(decimal)
print(binary) # Output: 0b10111 2. Binary to Decimal
Sum the powers of 2 for each digit: Python:
binary = "10111"
decimal = int(binary, 2)
print(decimal) # Output: 23 3. Decimal to Hexadecimal
Python:
decimal = 255
hex_num = hex(decimal)
print(hex_num) # Output: 0xff
Tips for Remembering Number Systems 🧠
- Memorize the key values:
Binary: 0-1 | Octal: 0-7 | Decimal: 0-9 | Hex: 0-F - Use online converters or tools to test your examples.
- Practice in Python or C to reinforce your understanding.
Resources to Learn Number Systems 🎓
For a hands-on course on YouTube, check out this playlist:The course covers:
- Binary, Octal, Decimal, Hexadecimal.
- Practical exercises on conversions.
- Applications in programming and networking.
Conclusion ✅
Understanding Number Systems is essential for every programmer or beginner hacker.Start with the basics, try practical exercises, and follow online courses to master them quickly. 🔥
Remember, knowing these systems will make programming, networking, and cybersecurity much easier.
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