Day 10: Decimal to Binary Conversion (Bahut Easy Tarika)

Decimal to Binary Conversion (Bahut Easy Tarika)

1️⃣ Decimal to Binary kya hota hai?

Decimal to Binary conversion ka matlab hai
👉 decimal number (0–9) ko binary number (0 aur 1) mein badalna।

Hum daily life mein decimal numbers use karte hain,
lekin computer binary numbers samajhta hai।

Isliye decimal number ko binary mein convert karna zaroori hai।

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2️⃣ Decimal to Binary ka Basic Rule

Decimal number ko 2 se divide karte jao,
aur jo remainder (bachaa hua number) mile, usko likhte jao।

👉 Steps:
1️⃣ Number ko 2 se divide karo
2️⃣ Remainder likho (0 ya 1)
3️⃣ Quotient ko phir 2 se divide karo
4️⃣ Last mein remainders ko neeche se upar padho

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3️⃣ Example 1 (Simple)

Decimal number: 5

Step 1:

5 ÷ 2 = 2  remainder 1
2 ÷ 2 = 1  remainder 0
1 ÷ 2 = 0  remainder 1

Step 2:
Remainders ko neeche se upar padho:
👉 101

✅ So, (5)₁₀ = (101)₂

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4️⃣ Example 2 (Thora bada)

Decimal number: 13

Step 1:

13 ÷ 2 = 6  remainder 1
6 ÷ 2 = 3   remainder 0
3 ÷ 2 = 1   remainder 1
1 ÷ 2 = 0   remainder 1

Step 2:
Remainders ko neeche se upar padho:
👉 1101

✅ So, (13)₁₀ = (1101)₂

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5️⃣ Easy Trick yaad rakhne ke liye

• Divide by 2

• Remainder likho

• Ulta padho (bottom to top)

👉 Formula yaad rakho:
Divide → Remainder → Reverse

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✅ Short Summary (Exam ke liye)

• Decimal → Binary = decimal number ko binary mein badalna

• Rule = 2 se divide karte jao

• Remainder ko reverse order mein likho

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📝 Practice Questions (Students ke liye)

1. (6)₁₀ = ?

2. (10)₁₀ = ?

3. (25)₁₀ = ?

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