🔢 Computer Systems & Organisation Quiz 3 — Number Systems & Encoding (Class 11 CS)
Practice 20 CBSE Class 11 Computer Science (Code 083) MCQs on number systems — Binary, Octal, Decimal, and Hexadecimal, along with conversions between them — plus encoding schemes: ASCII, ISCII, and Unicode (UTF-8, UTF-32).
Every conversion below has been double-checked by actually computing it — including fixing a few incorrect values found in commonly circulated versions of this quiz. Tap any question to reveal the answer with a full working.
🔢 Number Systems
Which number system uses only two digits, 0 and 1?
- Decimal
- Octal
- Binary
- Hexadecimal
Show Answer & Explanation
✅ Answer: (c) Binary
The binary number system is base-2, meaning it uses only two digits — 0 and 1. It’s the native language of computer hardware, where each digit (bit) represents an “off” or “on” state.
🔢 Number Systems
How many unique digits are there in the octal number system?
- 8
- 10
- 16
- 2
Show Answer & Explanation
✅ Answer: (a) 8
Octal is base-8, so it uses exactly 8 unique digits: 0 through 7.
🔢 Number Systems
What is the base of the decimal number system?
- 2
- 8
- 10
- 16
Show Answer & Explanation
✅ Answer: (c) 10
Decimal is the number system we use every day — it’s base-10, using digits 0 through 9.
🔢 Number Systems
Which number system uses the digits 0-9 and the letters A-F?
- Binary
- Octal
- Decimal
- Hexadecimal
Show Answer & Explanation
✅ Answer: (d) Hexadecimal
Hexadecimal is base-16. Since only 10 digit symbols (0-9) exist, it borrows the letters A-F to represent values 10 through 15.
🔁 Conversion
Convert the binary number 101010 to decimal.
- 10
- 20
- 42
- 52
Show Answer & Explanation
✅ Answer: (c) 42
101010₂ = (1×32)+(0×16)+(1×8)+(0×4)+(1×2)+(0×1) = 32+8+2 = 42.
🔁 Conversion
Convert the octal number 72 to binary.
- 101101
- 111010
- 100110
- 110101
Show Answer & Explanation
✅ Answer: (b) 111010
Each octal digit maps to exactly 3 binary bits: 7 → 111, 2 → 010. Combined: 111010. (Note: some circulated answer keys for this question incorrectly mark “101101” — that value is wrong; 111010 is the verified correct conversion.)
🔁 Conversion
Convert the decimal number 146 to hexadecimal.
- 8F
- 9B
- 92
- 7B
Show Answer & Explanation
✅ Answer: (c) 92
146 ÷ 16 = 9 remainder 2, so 146 in hex is 92. (This question is corrected from a version circulating with 147, which doesn’t match any of the given options — 147 in hex is actually 93.)
🔁 Conversion
Convert the hexadecimal number 2A to binary.
- 101010
- 101100
- 100110
- 110010
Show Answer & Explanation
✅ Answer: (a) 101010
2 → 0010, A (=10) → 1010. Combined and trimmed: 101010.
🔤 Encoding
Which encoding scheme represents characters using 8 bits?
- ASCII
- ISCII
- UTF8
- UTF32
Show Answer & Explanation
✅ Answer: (a) ASCII
ASCII (as taught at this level) uses 8 bits per character, allowing 256 possible characters — enough for English letters, digits, and common symbols.
🔤 Encoding
Which encoding scheme is used to represent characters in most modern computers and supports a wider range of characters and languages?
- ASCII
- ISCII
- UTF8
- UTF32
Show Answer & Explanation
✅ Answer: (c) UTF8
UTF-8 is the dominant encoding on the modern web and in most software — it’s backward-compatible with ASCII but can represent virtually any character from any language.
🔤 Encoding
How many bits are used to represent characters in ASCII encoding?
- 8
- 16
- 32
- 64
Show Answer & Explanation
✅ Answer: (a) 8
ASCII characters are represented using 8 bits (1 byte) each.
🔤 Encoding
What is the full form of ASCII?
- American Standard Code for Information Interchange
- All Standard Code for Information Interaction
- Advanced System Code for Information Interface
- Accessible Symbolic Code for Information Identification
Show Answer & Explanation
✅ Answer: (a) American Standard Code for Information Interchange
ASCII stands for American Standard Code for Information Interchange — one of the earliest character-encoding standards, still foundational today.
🔤 Encoding
Which encoding scheme is commonly used for Indic scripts in India?
- ASCII
- ISCII
- UTF8
- UTF32
Show Answer & Explanation
✅ Answer: (b) ISCII
ISCII (Indian Script Code for Information Interchange) was specifically developed to represent Indian language scripts like Devanagari, Tamil, and Bengali.
🔤 Encoding
Which encoding scheme is capable of representing over one million characters?
- ASCII
- ISCII
- UTF8
- UTF32
Show Answer & Explanation
✅ Answer: (c) UTF8
UTF-8, as a Unicode encoding, can represent the entire Unicode character set — over 1.1 million possible code points, covering virtually every writing system in use today. (UTF-32 encodes the same Unicode repertoire too, but UTF-8 is the standard answer taught for this property since it’s the most widely deployed.)
🔁 Conversion
Convert the ASCII character ‘A’ to binary (in 8-bit ASCII encoding).
- 01000001
- 1000001
- 10000001
- 00100001
Show Answer & Explanation
✅ Answer: (a) 01000001
‘A’ has ASCII value 65. In 8-bit binary, 65 = 01000001.
🔁 Conversion
Convert the binary number 1000101 to its ASCII character (in 8-bit ASCII encoding).
- A
- B
- C
- E
Show Answer & Explanation
✅ Answer: (d) E
1000101₂ = 69 in decimal, and ASCII value 69 corresponds to the character ‘E’. (Corrected from a widely circulated version of this question using “1100101”, which actually converts to 101 = lowercase ‘e’ — not among any of the given options.)
🔤 Encoding
Which encoding scheme is the most comprehensive and can represent characters from almost all writing systems?
- ASCII
- ISCII
- UTF8
- UTF32
Show Answer & Explanation
✅ Answer: (c) UTF8
UTF-8 is generally considered the most comprehensive and widely adopted encoding for representing text from virtually every writing system in the world, since it fully implements the Unicode standard.
🔤 Encoding
Which encoding scheme is fixed-width and uses 32 bits to represent each character?
- ASCII
- ISCII
- UTF8
- UTF32
Show Answer & Explanation
✅ Answer: (d) UTF32
UTF-32 is fixed-width — every single character, regardless of complexity, is always stored using exactly 32 bits (4 bytes). This makes indexing simple but uses more memory than UTF-8.
🔁 Conversion
Convert the hexadecimal number CD to binary.
- 11111011
- 11111010
- 11001101
- 10011011
Show Answer & Explanation
✅ Answer: (c) 11001101
C (=12) → 1100, D (=13) → 1101. Combined: 11001101. (Corrected from a version of this question using “1F5”, which needs 9 bits and doesn’t match any 8-bit option given.)
🔁 Conversion
Convert the decimal number 58 to octal.
- 62
- 66
- 72
- 76
Show Answer & Explanation
✅ Answer: (c) 72
58 ÷ 8 = 7 remainder 2, so 58 in octal is 72.
