Number System Converter – Convert Binary, Decimal, Octal, and Hex Easily
If You Not sure how to switch between number systems like binary, decimal, octal, and hexadecimal? Don’t worry — it’s easier than it sounds. Our free online tool helps you convert numbers instantly. Whether you're a student, a coder, or just someone curious, this page explains it all in simple English.
What is a Number System?
A number system is a way of writing numbers. The system we use every day is the decimal system (base 10). It has 10 digits: 0 to 9.
But computers think differently. They use systems like:
- ★ Binary (base 2): Only 0 and 1. Used in computers.
- ★ Octal (base 8): Uses 0 to 7.
- ★ Hexadecimal (base 16): Uses 0–9 and A–F.
Common Conversions Our Tool Supports
- ★ Binary ⇄ Decimal
- ★ Decimal ⇄ Hexadecimal
- ★ Octal ⇄ Binary
- ★ Hexadecimal ⇄ Octal
- ★ And more — all in one click!
How Does It Works?
Our converter is very simple. You enter a number, choose the system, and get the result.
Behind the scenes, it changes every number to decimal first, then to the format you want. This keeps the conversion accurate.
Examples:
- ★ Binary 1010 → Decimal = 1×8 + 0×4 + 1×2 + 0×1 = 10
- ★ Decimal 255 → Hex = 255 ÷ 16 = F and F → FF
- ★ Hex 2F → Binary = 2 = 0010, F = 1111 → 00101111
Why Use Our Number System Converter?
- ★ Quick and Easy: Just type, click, and get the answer.
- ★ Great for Learning: Understand how conversions work step-by-step.
- ★ Works on All Devices: Use it on your phone or computer.
- ★ No App Needed: Just open the browser and go.
- ★ 100% Free: No sign-up. No limit.
Real-World Uses
- ★ Programming: Developers use binary and hex in code and memory.
- ★ Networking: IPs and subnetting often use binary and hexadecimal.
- ★ Electronics: Microcontrollers use hex and binary for settings.
- ★ Students: Computer science and digital logic subjects need conversions.
- ★ Debugging: Hex logs or dumps are easier to read when converted.
Extra Examples
- ★ Binary to Decimal: 1101 → 8 + 4 + 0 + 1 = 13
- ★ Decimal to Binary: 13 → divide by 2: 1101
- ★ Octal to Decimal: 17 → 1×8 + 7 = 15
- ★ Hex to Decimal: A3 = 10×16 + 3 = 163
Features You’ll Love
- ★ Copy result with one click
- ★ Lightweight and fast
- ★ Works offline (if page is cached)
- ★ No ads to disturb you
- ★ Easy for all age groups
FAQs – Clear Your Doubts
Yes! We made it very simple, so even if you're just starting to learn, you can use it with ease.
Right now, it supports base 2 (binary), base 8 (octal), base 10 (decimal), and base 16 (hex). These are the most useful and popular ones.
Not at all. It works 100% online. Just open the site in your browser.
Yes, it’s 100% free. No sign-up, no cost. Just open and use it anytime.
Start Using the Tool
Try the number system converter now. Whether you’re doing homework, writing code, or just want to learn — this tool makes it super easy.
This free tool is supported by SmartCalcZone. We build helpful tools for learners and creators — fast, secure, and simple.