SSC CGL Computer – Number Systems & Data Representation (optional) – Level 2 · Exam Level · Section III pace

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SSC CGL Computer – Number Systems & Data Representation (optional) – Level 2 · Exam Level · Section III pace – 14 questions, subject: Computer Knowledge. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

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1.  
300 in octal is:

Correct Answer: C [(454)₈]

Explanation:

300 = 4 × 64 + 5 × 8 + 4 → (454)₈.

2.  
(10111001)₂ in hexadecimal is:

Correct Answer: A [(B9)₁₆]

Explanation:

Answer: (B9)₁₆. 1011 | 1001 → B | 9.

3.  
(1110)₂ + (0111)₂ = ?

Correct Answer: D [(10101)₂]

Explanation:

Answer: (10101)₂. 14 + 7 = 21 = (10101)₂.

4.  
The 8-bit 2's complement of 00110100 is:

Correct Answer: B [11001100]

Explanation:

Copy to the first 1 from the right (100), flip the rest → 11001100.

5.  
Which is the largest?

Correct Answer: C [(A)₁₆]

Explanation:

6, 7, 9 and 10 in decimal → (A)₁₆ = 10 is largest.

6.  
Match the followingMatch the number with its decimal value:
P. (11)₂ Q. (11)₈ R. (11)₁₆ S. (11)₁₀
1. 9 2. 11 3. 3 4. 17

Correct Answer: A [P-3, Q-1, R-4, S-2]

Explanation:

Same digits, different bases: 2 + 1 = 3; 8 + 1 = 9; 16 + 1 = 17; 11.

7.  
Two-quantity comparison
Quantity I: (101)₈
Quantity II: (41)₁₆

Correct Answer: C [Quantity I = Quantity II]

Explanation:

(101)₈ = 64 + 1 = 65; (41)₁₆ = 64 + 1 = 65.

8.  
Odd one outOdd one out (by value):

Correct Answer: B [(11)₁₀]

Explanation:

The first three all equal 10; (11)₁₀ = 11.

9.  
Which gates are called universal gates?

Correct Answer: B [NAND and NOR]

Explanation:

Every gate can be built from only NAND or only NOR gates.

10.  
Assertion–Reason
A: (777)₈ = 511.
R: (777)₈ is one less than (1000)₈, and (1000)₈ = 512.

Correct Answer: D [Both A and R are true and R explains A]

Explanation:

8³ = 512, and 777 is the largest 3-digit octal number = 512 − 1.

11.  
Trick SpotterFastest correct way to convert (101101110)₂ to octal?

Correct Answer: A [Group the bits in threes from the right: 101 101 110 → 556]

Explanation:

Octal = 2³, so 3-bit groups from the binary point give (556)₈ at once.

12.  
(1110)₂ − (0101)₂ = ?

Correct Answer: C [(1001)₂]

Explanation:

Answer: (1001)₂. 14 − 5 = 9 = 1001.

13.  
For the data bits 1101011, the even-parity bit is:

Correct Answer: C [1]

Explanation:

There are five 1s (odd) → parity bit 1 makes the total even.

14.  
Reverse questionWhich decimal number is written as (7E9)₁₆?

Correct Answer: A [2025]

Explanation:

7 × 256 + 14 × 16 + 9 = 1,792 + 224 + 9 = 2,025.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Computer Knowledge book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-computer-knowledge

📘 SSC CGL 2026 – Computer Knowledge (Tier II Paper I – Section III)
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