Number System Converter — Binary, Decimal, Hex
Computer ki duniya me number ek tarah se nahi likhe jaate. Neeche apna number daaliye aur bataiye wo kis system me hai — baaki teeno me badla hua dikh jayega.
Chaar system — ek nazar me
| System | Base | Kaunse ank | 255 kaise likha jayega |
|---|---|---|---|
| Decimal | 10 | 0-9 | 255 |
| Binary | 2 | 0, 1 | 11111111 |
| Octal | 8 | 0-7 | 377 |
| Hexadecimal | 16 | 0-9, A-F | FF |
Hexadecimal me 10 se 15 ke liye akshar istemaal hote hain — A=10, B=11, C=12, D=13, E=14, F=15. Isi liye FF ka matlab hai 15×16 + 15 = 255.
Dhyaan rakhiye ki ek hi cheez chaar tareeke se likhi ja rahi hai. Number wahi hai, sirf likhne ka tareeka alag hai — jaise "paanch", "5" aur "V" ek hi baat hain.
Haath se kaise badalte hain
Decimal se binary — baar-baar 2 se bhaag dijiye, bacha hua (remainder) likhte jaiye, phir ulta padhiye:
6 ÷ 2 = 3, bacha 0
3 ÷ 2 = 1, bacha 1
1 ÷ 2 = 0, bacha 1
Ulta padhiye: 1101
Binary se decimal — har ank ko uski jagah se guna kariye:
1101 = (1×8) + (1×4) + (0×2) + (1×1) = 13
Jagah ki keemat daayein se: 1, 2, 4, 8, 16, 32, 64, 128...
Hex ka aasaan tarika — binary ko 4-4 ke tukdon me todiye. 11111111 → 1111 aur 1111 → F aur F → FF. Isi liye programmer hex pasand karte hain — wo binary ka chhota roop hai.
Ye kahan istemaal hote hain
- Binary — computer ki apni bhasha. Har cheez andar 0 aur 1 me hi hoti hai, kyunki bijli ka switch sirf on ya off hota hai.
- Hexadecimal — sabse zyada aapko rang me dikhta hai. Website ke rang
#FF0000(laal),#00FF00(hara) me likhe jaate hain — teen jodi hex, laal-hara-neela ke liye. MAC address aur memory address bhi hex me hote hain. - Octal — Linux me file permission (jaise
chmod 755) octal hi hai. 7 = padh, likh, chala sakte hain; 5 = padh aur chala sakte hain. - Decimal — hum log, roz.
Padhne walon aur naye programmer ke liye
Computer science aur BCA/B.Tech ke pehle saal me ye topic har jagah aata hai. Kuch baatein jo kaam aati hain:
- 2 ke pahade yaad kar lijiye — 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. Binary ka aadha kaam isi se ho jaata hai. Aur 1024 hi wo number hai jisse 1 KB banta hai.
- Hex ke 16 ank yaad rakhiye — 0-9 phir A, B, C, D, E, F. Bas itna hi.
- Binary aur hex ka rishta — 4 binary ank = 1 hex ank. Ye jaan lene ke baad conversion bahut aasaan ho jaata hai.
- Practice chhote number se — 10, 13, 25 se shuru kariye. 255 aur 1024 baad me.
Doosre tools: Scientific Calculator, LCM & HCF, aur Roman Numerals Converter — Roman bhi ek purana number system hi hai.
Aksar pooche jaane wale sawaal
Binary me 255 kaise likhte hain?
11111111 — aath baar 1. Isi liye IP address me har hissa 255 tak hi jaata hai, kyunki wo 8 bit ka hota hai.
Hexadecimal me A se F ka matlab kya hai?
A=10, B=11, C=12, D=13, E=14, F=15. Isi liye FF ka matlab 255 hota hai.
Decimal ko binary me kaise badlein?
Baar-baar 2 se bhaag dijiye aur bacha hua likhte jaiye, phir ulta padhiye. 13 ke liye jawab 1101 aata hai.
Programmer hex kyun istemaal karte hain?
Kyunki 4 binary ank ka ek hex ank banta hai — hex binary ka chhota aur padhne me aasaan roop hai. Rang ke code aur memory address isi wajah se hex me hote hain.