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.
Rozmarra me ye number system kahan dikhte hain
Ye sirf padhai ki cheez nahi hai. Phone aur computer chalate waqt aap inhe roz dekhte hain, bas naam se nahi pehchante.
| Kahan dikhta hai | System | Misaal |
|---|---|---|
| Website ka rang (color code) | Hex | #FF5733 |
| File permission (Linux/server) | Octal | chmod 755 |
| IP address (IPv4) | Decimal | 192.168.1.1 |
| MAC address / Wi-Fi | Hex | A4:5E:60:C2 |
| Memory ka size | Binary | 1 KB = 1024 byte |
#FF5733 me FF = laal 255, 57 = hara 87, 33 = neela 51. Isi wajah se programmer binary ki lambi line ki jagah hex likhte hain — chhota, aur bit ka hisaab bilkul saaf.Exam me ye sawaal kaise poochha jaata hai
SSC, RRB, bank aur police ke computer wale hisse me number system har saal aata hai. Sawaal ghuma kar poochha jaata hai, par tarika teen se zyada nahi hote.
| Sawaal aisa dikhta hai | Karna kya hai |
|---|---|
| (1101)₂ ka decimal kya hai | Daayein se 1,2,4,8 — jahan 1 ho wahi jodiye = 13 |
| 25 ko binary me likhiye | 2 se baar-baar bhaag, sheshfal ulta padhiye = 11001 |
| (2F)₁₆ ka decimal | 2×16 + 15 = 47 |
| 1 KB me kitne byte | 1024, 1000 nahi |
| Sabse chhota/bada kaun | Sabko decimal me badal kar tulna kariye |
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.
Octal aaj bhi kahin istemaal hota hai?
Haan, sabse zyada Linux aur server ki file permission me — jaise chmod 755. Yahan har digit teen bit (read, write, execute) ko batati hai, isliye octal aaj bhi sabse saaf tarika hai.
Color code #FF5733 ka matlab kya hai?
Ye teen hex jodiyan hain — FF, 57 aur 33. Decimal me ye 255, 87 aur 51 banti hain, jo laal, hare aur neele rang ki maatra batati hain. Isliye ye rang gehra santari-laal dikhta hai.
Exam me binary se decimal jaldi kaise nikaalein?
Daayein se 1, 2, 4, 8, 16 likhiye aur jahan 1 hai sirf unhe jodiye. Jaise 1101 me 8+4+1 = 13. Isme koi formula lagane ki zaroorat nahi, 10 second me ho jaata hai.
1 KB 1000 byte hai ya 1024?
Computer ki ginti me 1024, kyunki wo 2 ki ghaat par chalti hai. Par hard disk aur pen drive banane wale 1000 maankar likhte hain — isi wajah se 64 GB ki pen drive computer me lagbhag 59 GB dikhti hai. Dono galat nahi, paimana alag hai.