எண் முறைகள்
Number Systems Explorer
Every image, video, and message on any computer is just numbers — in different bases. Explore decimal, binary, octal, and hexadecimal with a live converter and real-world examples.
Choose a Systemஎண் முறையை தேர்வு செய்யவும்
Decimal
Base 10தசம எண் முறை
The decimal system is the standard number system we use every day. It has 10 digits (0 through 9) and is based on powers of 10.
The decimal system is the standard number system we use every day. It has 10 digits (0 through 9) and is based on powers of 10.
Why It Mattersஏன் முக்கியம்?
Humans have 10 fingers, so counting in tens came naturally. Every position in a decimal number represents a power of 10 — units, tens, hundreds, thousands, and so on.
Digits Usedபயன்படுத்தப்படும் இலக்கங்கள்
10 symbols total
Conversion Ruleமாற்று விதி
Each digit position represents a power of 10. The rightmost digit is 10⁰ (ones), next is 10¹ (tens), then 10² (hundreds), etc.
Real-World Usesநிஜ உலக பயன்கள்
- ◆Money and financial calculations
- ◆Everyday measurements (weight, height, distance)
- ◆Counting and arithmetic in daily life
- ◆Scientific notation and engineering
- ◆Population counts and statistics
Did You Know?உங்களுக்கு தெரியுமா?
★ The word "digit" comes from the Latin word "digitus" meaning finger — a direct reference to our 10 fingers being the origin of base-10 counting.
Number Converter — Try It Yourself
எண் மாற்றி — நீங்களே முயற்சி செய்யுங்கள்
Decimal
தசம
42
Base 10
Binary
இருமம்
101010
Base 2
Octal
அஷ்டம
52
Base 8
Hexadecimal
பதினாறும்
2A
Base 16
Why number systems matter in the AI era
Every artificial intelligence model, every digital image, every piece of encrypted data ultimately lives as binary numbers in computer memory. Understanding that computers see the world as 1s and 0s — and that humans invented hexadecimal as a shorthand — is the first real step into computing, programming, and AI literacy.
ஒவ்வொரு செயற்கை நுண்ணறிவு மாதிரியும், ஒவ்வொரு டிஜிட்டல் படமும் இறுதியில் கணினி நினைவகத்தில் இரும எண்களாக உள்ளன.
Quick Reference
| Dec | Bin | Oct | Hex |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 |
| 4 | 100 | 4 | 4 |
| 8 | 1000 | 10 | 8 |
| 10 | 1010 | 12 | A |
| 15 | 1111 | 17 | F |
| 16 | 10000 | 20 | 10 |
| 42 | 101010 | 52 | 2A |
| 255 | 11111111 | 377 | FF |
Real-world uses
- 🎨 Web colors:
#FF5733= RGB(255, 87, 51) - 📁 File sizes: 1 KB = 1024 bytes = 2¹⁰
- 🔒 chmod 755 =
rwxr-xr-x= 111 101 101 - 🧠 IPv4 addresses: 192.168.1.1 in binary
- 💾 Memory addresses shown in hex by debuggers
- 🔢 ASCII: letter 'A' = decimal 65 = hex 41 = binary 1000001