🌸 Part A: One Word / Short Answer
Q1. What is the base of binary number system?
📝 Ans: 2
Q2. What digits are used in hexadecimal number system?
📝 Ans: 0–9 and A–F (where A=10, B=11, ..., F=15)
Q3. What is the binary equivalent of decimal number 13?
📝 Ans: 1101
Q4. Define 'byte'.
📝 Ans: A byte is a group of 8 bits.
Q5. What do you call a group of 4 bits?
📝 Ans: Nibble 🧃💁♀️
🌈 Part B: Conversions (Decimal ↔ Binary / Octal / Hex)
Q6. Convert 45₁₀ to binary.
📝 Ans:
45 ÷ 2 = 22 R1 22 ÷ 2 = 11 R0 11 ÷ 2 = 5 R1 5 ÷ 2 = 2 R1 2 ÷ 2 = 1 R0 1 ÷ 2 = 0 R1 Answer = 101101
✅ 45₁₀ = 101101₂
Q7. Convert 11110₂ to decimal.
📝 Ans:
(1×2⁴) + (1×2³) + (1×2²) + (1×2¹) + (0×2⁰) = 16 + 8 + 4 + 2 + 0 = 30
✅ 11110₂ = 30₁₀
Q8. Convert 97₁₀ to octal.
📝 Ans:
97 ÷ 8 = 12 R1 12 ÷ 8 = 1 R4 1 ÷ 8 = 0 R1 Answer = 141
✅ 97₁₀ = 141₈
Q9. Convert 7A₁₆ to decimal.
📝 Ans:
7 = 7 × 16¹ = 112 A = 10 × 16⁰ = 10 → 112 + 10 = 122
✅ 7A₁₆ = 122₁₀
Q10. Convert 110011₍₂₎ to hexadecimal.
📝 Ans:
Group into 4-bits → 0011 0011
→ 0011 = 3, 0011 = 3
✅ 110011₂ = 33₁₆
🧠 Part C: Fill in the Blanks
Q11. The base of hexadecimal number system is _____.
📝 Ans: 16
Q12. A byte consists of _____ bits.
📝 Ans: 8
Q13. The binary equivalent of (19)₁₀ is _____.
📝 Ans: 10011
Q14. In hexadecimal, the digit 'B' represents the decimal value _____.
📝 Ans: 11
Q15. Binary number system uses only _____ and _____.
📝 Ans: 0 and 1
💻 Part D: Application / Reasoning Based
Q16. Why do computers use binary number system?
📝 Ans:
Because computers are made of electronic circuits that have two states — ON and OFF. Binary (0 and 1) perfectly matches this, making it simple and efficient for computers to process data.
Q17. Convert the binary number 1011011 to octal.
📝 Ans:
Group into 3s from right → 010 110 11 → pad left with zero → 010 110 011
010 = 2 110 = 6 011 = 3
✅ Final: 263₈
Q18. Convert hexadecimal number 2F to binary.
📝 Ans:
2 = 0010 F = 1111 Answer = 00101111
✅ 2F₁₆ = 00101111₂
Q19. Write a binary number that represents the decimal number 64.
📝 Ans:
64 ÷ 2 = 32 R0 32 ÷ 2 = 16 R0 16 ÷ 2 = 8 R0 8 ÷ 2 = 4 R0 4 ÷ 2 = 2 R0 2 ÷ 2 = 1 R0 1 ÷ 2 = 0 R1 Answer = 1000000
✅ 64₁₀ = 1000000₂
Q20. Convert 100111101₍₂₎ to hexadecimal.
📝 Ans:
Group into 4s from right → 0001 0011 1101
iniCopyEdit0001 = 1 0011 = 3 1101 = D
✅ 100111101₂ = 13D₁₆
(I put lots of effort on these digital notes, so please vote, follow and share these with your friends😭)
YOU ARE READING
Class 11 CS - code. caffeine. chaos.
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 - 😵💫...
