Day 9: Binary to Decimal Conversion (Bahut Easy Tarika)

Binary to Decimal Conversion (Bahut Easy Tarika)

1️⃣ Binary to Decimal kya hota hai?

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

Computer binary mein kaam karta hai, lekin humans decimal samajhte hain।
Isliye binary ko decimal mein convert karna zaroori hai।

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2️⃣ Binary to Decimal ka Basic Rule

Binary number mein har digit ki ek value hoti hai:

Position	2 ki Power	Value
1st (right se)	2⁰	1
2nd	2¹	2
3rd	2²	4
4th	2³	8
5th	2⁴	16

👉 Formula:
Binary digit × 2 ki power + sab ka sum

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3️⃣ Example 1 (Simple)

Binary number: 101

Step 1: Position likho

1   0   1
2²  2¹  2⁰

Step 2: Multiply karo

• 1 × 4 = 4

• 0 × 2 = 0

• 1 × 1 = 1

Step 3: Add karo
👉 4 + 0 + 1 = 5

✅ So, (101)₂ = (5)₁₀

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4️⃣ Example 2 (Thora bada)

Binary number: 1101

Step 1:

1   1   0   1
2³  2²  2¹  2⁰

Step 2:

• 1 × 8 = 8

• 1 × 4 = 4

• 0 × 2 = 0

• 1 × 1 = 1

Step 3:
👉 8 + 4 + 0 + 1 = 13

✅ So, (1101)₂ = (13)₁₀

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5️⃣ Trick yaad rakhne ke liye

Right se power start hoti hai:
👉 2⁰, 2¹, 2², 2³, 2⁴...

Aur jahan 0 ho, wahan value 0 hoti hai।

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✅ Short Summary (Exam ke liye)

• Binary → Decimal = binary number ko decimal mein badalna

• Rule = digit × 2 ki power + sum

• Right se power start hoti hai (2⁰ se)

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📝 Practice Questions (Students ke liye)

1. (10)₂ = ?

2. (111)₂ = ?

3. (1001)₂ = ?

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