Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Computer System Design
End Term · 31 Aug 2025 (Afternoon)
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- NAT: Numerical response. No negative marking.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
- Q1MCQ1 Mark·Choose one option
In a 4-bit system, the one’s complement of the binary number 1100 is 0111.
- ATRUE
- BFALSE
- Q2MCQ1 Mark·Choose one option
A synchronous counter triggers all flipflops using a common clock signal, while an asynchronous counter triggers each flipflop using the output of the previous flipflop.
- ATRUE
- BFALSE
- Q3MCQ1 Mark·Choose one option
In a system with 64 unique states, 4 flipflops are sufficient to represent all the states.
- ATRUE
- BFALSE
- Q4MCQ1 Mark·Choose one option
In a decoder, at any point, exactly one of the outputs is 1 and all the rest are 0s.
- ATRUE
- BFALSE
- Q5MCQ1 Mark·Choose one option
According to Moore’s law, if a computer system has 2 million transistors today, then it will have approximately 32 million transistors in 7 years.
- ATRUE
- BFALSE
- Q6MCQ3 Marks·Choose one option

- A

- B

- C

- D

- E

- A
- Q7NAT3 Marks·Write the number
Your answer: - Q8NAT3 Marks·Write the number
Your answer: - Q9NAT3 Marks·Write the number
Your answer: - Q10NAT3 Marks·Write the number
Your answer: - Q11NAT3 Marks·Write the number
Your answer: - Q12NAT3 Marks·Write the number
Your answer: - Q13NAT3 Marks·Write the number
Consider a mod-12 up counter with an initial state of 0111. What will be the state of the counter after 25 clock pulses?
Your answer: - Q14NAT3 Marks·Write the number
Your answer: - Q15NAT3 Marks·Write the number
Consider a 10-bit Johnson counter. What is the total number of unique states it can cycle through?
Your answer: - Q16Short answer3 Marks·Write the answer
Your answer: - Q17NAT3 Marks·Write the number
Your answer: - Q18NAT3 Marks·Write the number
Your answer: - Q19Short answer3 Marks·Write the answer
Your answer: - Q20NAT3 Marks·Write the number
Your answer: