Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Computer System Design
Number systems & binary arithmetic
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.
Quiz 1 · 26 Oct 2025 (AN)Quiz 1
- Q1MCQ4 Marks·Choose one option
If (234)_a = (143)_b, where a and b are the bases of the respective numbers, what are the values of a and b?
- Aa = 3, b = 4
- Ba = 4,b = 5
- Ca = 5, b = 6
- Da = 6, b = 7
- Ea = 7, b = 8
- Q2NAT3 Marks·Write the number
What is the minimum number of bits required to represent number (128)_(10) in binary ?
Your answer:
End Term · 31 Aug 2025 (FN)End Term
- Q3MCQ1 Mark·Choose one option
In a 4-bit system, the one’s complement of the binary number 1100 is 0011.
- ATrue
- BFalse
- Q4MCQ1 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 8 years.
- ATrue
- BFalse
- Q5NAT3 Marks·Write the number
Your answer:
End Term · 31 Aug 2025 (AN)End Term
- Q6MCQ1 Mark·Choose one option
In a 4-bit system, the one’s complement of the binary number 1100 is 0111.
- ATRUE
- BFALSE
- Q7MCQ1 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
- Q8NAT3 Marks·Write the number
Your answer: