What does Decimal to Binary mean

 

🔢 Decimal → Binary (SUPER EASY METHOD)

🔹 What does Decimal → Binary mean?

👉 Convert a normal number (base-10) into binary (0 & 1).

Example:

10₁₀ → ?₂
25₁₀ → ?₂

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🧠 ONLY ONE RULE (Golden Rule)

Divide the number by 2 repeatedly and write the remainders.
Read the remainders from bottom to top.

That’s it. No formula, no confusion.

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✅ Step-by-Step Method

🔹 Step 1: Divide by 2

🔹 Step 2: Note the remainder (0 or 1)

🔹 Step 3: Repeat until quotient becomes 0

🔹 Step 4: Write remainders from bottom to top

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✅ Example-1 (VERY IMPORTANT)

Convert 10₁₀ → Binary

Division	Quotient	Remainder
10 ÷ 2	5	0
5 ÷ 2	2	1
2 ÷ 2	1	0
1 ÷ 2	0	1

Now read remainders bottom → top:

1 0 1 0

✔ Final Answer:

10₁₀ = 1010₂

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✅ Example-2 (MOST ASKED)

Convert 25₁₀ → Binary

Division	Quotient	Remainder
25 ÷ 2	12	1
12 ÷ 2	6	0
6 ÷ 2	3	0
3 ÷ 2	1	1
1 ÷ 2	0	1

Read bottom → top:

11001

✔ Final Answer:

25₁₀ = 11001₂

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✅ Example-3 (Small Number)

Convert 7₁₀ → Binary

Division	Remainder
7 ÷ 2 = 3	1
3 ÷ 2 = 1	1
1 ÷ 2 = 0	1

Bottom → top:

111

✔ 7₁₀ = 111₂

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✅ Example-4 (VERY EASY)

Convert 4₁₀ → Binary

Division	Remainder
4 ÷ 2 = 2	0
2 ÷ 2 = 1	0
1 ÷ 2 = 0	1

Bottom → top:

100

✔ 4₁₀ = 100₂

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🧠 SUPER SHORTCUT (EXAM MAGIC)

👉 Remember this table (most MCQs come from here)

Decimal	Binary
1	1
2	10
3	11
4	100
5	101
6	110
7	111
8	1000
9	1001
10	1010

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❓ Common Exam Traps

Q1: Binary of 0?

✔ 0

Q2: Binary of 1?

✔ 1

Q3: Binary always ends with?

✔ 0 for even numbers
✔ 1 for odd numbers

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🎯 One-Line Memory Rule

Divide by 2 → write remainder → reverse order

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📝 Practice (TRY NOW)

Convert:
1️⃣ 6₁₀ → ?₂
2️⃣ 9₁₀ → ?₂
3️⃣ 12₁₀ → ?₂

✅ Answers:

• 6 → 110

• 9 → 1001

• 12 → 1100