10
A
11
B
12
C
13
D
14
E
15
F
✨ Example 5:
Q) Convert 255 to hexadecimal
255 ÷ 16 = 15 → R15 → F
15 ÷ 16 = 0 → R15 → F
Answer = FF
✅ Final Answer: 255₁₀ = FF₁₆
💖 VI. HEXADECIMAL ➡️ DECIMAL
🧠 Method: Multiply digits with 16ⁿ
✨ Example 6:
Q) Convert 2F₁₆ to decimal
(2 × 16¹) + (15 × 16⁰)
= 32 + 15 = 47
✅ Final Answer: 2F₁₆ = 47₁₀
💖 VII. BINARY ➡️ OCTAL
🧠 Trick: Group binary digits in 3s from right
✨ Example 7:
Q) Convert 110101₍₂₎ to octal
Group into 3s:
110 101 → Convert each group
110 = 6
101 = 5
✅ Final Answer: 110101₂ = 65₈
💖 VIII. BINARY ➡️ HEXADECIMAL
🧠 Trick: Group into 4s from right
✨ Example 8:
Q) Convert 10111100 to hexadecimal
Group: 1011 1100
1011 = B
1100 = C
✅ Final Answer: 10111100₂ = BC₁₆
💖 IX. HEXADECIMAL ➡️ BINARY
🧠 Trick: Convert each digit to 4-bit binary
✨ Example 9:
Q) Convert 3E₁₆ to binary
3 = 0011
E = 1110
✅ Final Answer: 3E₁₆ = 00111110₂
🌟 BONUS TIPS FOR BASE-BOSS ENERGY 🌟
🌷 Shortcut to remember powers:
Power
2ⁿ
8ⁿ
16ⁿ
0
1
1
1
1
2
8
16
2
4
64
256
3
8
512
4096
💡 Use these to quickly calculate values while converting!
🪄 Mnemonics:
Binary = 2 (only two moods: 0 & 1 😭) Octal = 8 (like an octopus 🐙) Hex = 16 (Hex = "Sixteen" sounds spooky and smart 🧙♀️✨)
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Random⌨️ Welcome to my Computer Science dump zone - where the syntax breaks, the logic cries, and the vibe never dies 😭 💻 Class 11 • Science Stream (w/ Maths & CS) 🖋 Posting: - ✨Aesthetic digital notes - 💥 Programming concepts in simple words - 😵💫...
🌟 Chapter 2: Number System - Notes 🌟
Start from the beginning
