SSC CGL Computer – Number Systems & Data Representation (optional) – Exam-Level Drill

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SSC CGL Computer – Number Systems & Data Representation (optional) – Exam-Level Drill – 10 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.  
6.75 in binary is:

Correct Answer: D [(110.11)₂]

Explanation:

6 = 110; 0.75 = 0.5 + 0.25 = .11.

2.  
(110.101)₂ in decimal is:

Correct Answer: A [6.625]

Explanation:

Answer: 6.625. 4 + 2 + 0.5 + 0.125 = 6.625.

3.  
−100 in 8-bit 2's complement is:

Correct Answer: B [10011100]

Explanation:

100 = 01100100; flip + 1 → 10011100.

4.  
The 8-bit 2's complement pattern 11101110 represents:

Correct Answer: C [−18]

Explanation:

Leading 1 → negative; 2's complement 00010010 = 18 → −18.

5.  
The range of a 16-bit signed integer in 2's complement is:

Correct Answer: D [−32,768 to +32,767]

Explanation:

Answer: −32,768 to +32,767. −2¹⁵ to 2¹⁵ − 1.

6.  
The BCD (8421) code of 283 is:

Correct Answer: A [0010 1000 0011]

Explanation:

Each digit separately: 2 = 0010, 8 = 1000, 3 = 0011.

7.  
(1F)₁₆ + (2A)₁₆ = ?

Correct Answer: B [(49)₁₆]

Explanation:

31 + 42 = 73 = 4 × 16 + 9 → (49)₁₆.

8.  
The minimum number of bits needed to write 1000 (decimal) as an unsigned binary number is:

Correct Answer: C [10]

Explanation:

2⁹ = 512 < 1,000 < 1,024 = 2¹⁰ → 10 bits.

9.  
For A = 1, B = 1, C = 1, what are the outputs of (A AND B) XOR C and of (A OR B) AND C?

Correct Answer: D [0 and 1]

Explanation:

A AND B = 1, 1 XOR 1 = 0; A OR B = 1, 1 AND 1 = 1.

10.  
How many different values can be represented with 11 bits?

Correct Answer: A [2,048]

Explanation:

Answer: 2,048. 2¹¹ = 2,048 (0 to 2,047).

➤ 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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