Is lesson me hum seekhenge:

• Number System kya hota hai
• Binary Number System
• Decimal Number System
• Octal Number System
• Hexadecimal Number System

Computer me numbers ko represent karne ke liye different number systems use hote hain.

Commonly 4 types ke number systems use hote hain:

Number Systems
│
├── Binary (Base 2)
├── Octal (Base 8)
├── Decimal (Base 10)
└── Hexadecimal (Base 16)

Decimal system sabse common number system hai jo hum daily life me use karte hain.

Iska base 10 hota hai.

Digits:

0 1 2 3 4 5 6 7 8 9

Example:

245

Calculation:

2 × 10² + 4 × 10¹ + 5 × 10⁰

Binary system ka base 2 hota hai.

Isme sirf 2 digits use hote hain:

0 and 1

Computer internally binary numbers par hi kaam karta hai.

Example:

1010

Calculation:

1 × 2³ + 0 × 2² + 1 × 2¹ + 0 × 2⁰
= 8 + 0 + 2 + 0
= 10 (decimal)

Octal system ka base 8 hota hai.

Digits:

0 1 2 3 4 5 6 7

Example:

17 (Octal)

Calculation:

1 × 8¹ + 7 × 8⁰
= 8 + 7
= 15 (decimal)

Hexadecimal system ka base 16 hota hai.

Digits:

0 1 2 3 4 5 6 7 8 9 A B C D E F

Yaha:

A = 10
B = 11
C = 12
D = 13
E = 14
F = 15

Example:

1A (Hexadecimal)

Calculation:

1 × 16¹ + 10 × 16⁰
= 16 + 10
= 26 (decimal)

Java me different number systems ko represent karne ke special formats hote hain.

public class NumberSystemExample {

    public static void main(String[] args) {

        int decimal = 10;

        int binary = 0b1010;

        int octal = 012;

        int hex = 0xA;

        System.out.println(decimal);
        System.out.println(binary);
        System.out.println(octal);
        System.out.println(hex);

    }

}

10
10
10
10

Explanation:

0b1010 → Binary
012 → Octal
0xA → Hexadecimal

Sabka decimal value 10 hai

Binary → Decimal

Example:

1011

Calculation:

1 × 2³ + 0 × 2² + 1 × 2¹ + 1 × 2⁰
= 8 + 0 + 2 + 1
= 11

• Binary system computer ka main number system hai
• Decimal system human use ke liye common hai
• Octal aur Hexadecimal binary ko short form me represent karte hain
• Java me binary, octal aur hex values ko special prefixes se likhte hain

Binary → 0b
Octal → 0
Hex → 0x

1️⃣ Number system kya hota hai?
2️⃣ Binary system ka base kya hota hai?
3️⃣ Octal system me kitne digits hote hain?
4️⃣ Hexadecimal me A ka value kya hota hai?
5️⃣ Java me binary number ka prefix kya hota hai?

Is lesson me humne seekha:

✔ Decimal Number System
✔ Binary Number System
✔ Octal Number System
✔ Hexadecimal Number System
✔ Java me number system representation

Number systems computer science ka fundamental concept hain.

Next lesson me hum seekhenge:

• Bitwise Operators
• Left Shift
• Right Shift
• Binary Operations