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✅ Subject: Computer Architecture
📅 Week: 2
🎯 Session: NPTEL 2025 July-October
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NPTEL Computer Architecture Week 2 Assignment Answers 2025
1. Which of the following is true according to the Associative Law?
- A . (B + C) = (A . B) + C
- (A + B) + C = A + (B + C)
- A + A = A
- A + A’ = 1
Answer : See Answers
2. Which of the following Boolean expressions illustrates the Consensus Theorem?
- AB + A’C = (A + C)(B + C)
- AB + A’C = AB + A’C
- AB + A’C + BC = AB + A’C
- AB + A’B = A + B
Answer : See Answers
3. Which of the following numbers is a valid octal number?
- 728
- 180
- 345
- 889
Answer : See Answers
4. What is the hexadecimal equivalent of the binary number 10101111?
- AF
- 9F
- A7
- B1
Answer : See Answers
5. What is the 8-bit sign-magnitude representation of -13?
- 11110011
- 10001101
- 11101101
- 10001001
Answer : See Answers
6. In signed 4-bit binary addition, which of the following indicates an overflow?
- Adding two negative numbers results in a positive
- Adding a positive and negative number
- Adding two positive numbers gives a positive result
- MSB is 0 after addition
Answer : See Answers
7. Which of the following components are a part of the IEEE 754 single-precision floating-point format?
- Sign bit, 8-bit exponent, 23-bit mantissa
- Sign bit, 16-bit exponent, 16-bit fraction
- Sign bit, 4-bit exponent, 27-bit mantissa
- Sign bit, 10-bit exponent, 22-bit mantissa
Answer : See Answers
8. Which of the following statements about special floating-point values is correct in the IEEE 754 format? Choose the most appropriate answer.
- 1 / 0 = ∞, 0 / 0 = NaN
- NaN + 5 = NaN
- -1 / 0 = -∞, sin⁻¹(5) = NaN
- All of the above
Answer :
9. Which of the following statements is true about the UTF-8 encoding?
- It uses a fixed 8-bit format for every character
- It can represent only English letters
- It uses the same byte values as ASCII for standard English characters
- It uses 32 bits for each character
Answer :
10. Which of the following statements is true about the ASCII character encoding scheme?
- ASCII supports 256 characters using 8-bit encoding
- ASCII uses 7 bits to represent each character and includes control characters like backspace and line feed
- ASCII includes only printable characters and excludes control operations
- ASCII uses variable-length encoding for international characters
Answer : See Answers
NPTEL Computer Architecture Week 2 Assignment Answers 2024
1. What is the smallest positive denormal number in the IEEE 754 standard?
- a) 2⁻¹²⁶
- b) 2⁻¹²⁷
- c) 2⁻¹⁴⁹ ✅
- d) 2⁻¹⁵⁰
Answer: c) 2⁻¹⁴⁹
Explanation: In IEEE 754 single-precision (32-bit), denormal numbers fill the gap between 0 and the smallest normal number (2⁻¹²⁶). The smallest positive denormal is 2⁻¹⁴⁹ because it assumes an exponent of -126 and the smallest fraction (mantissa) of 0.000…01 (i.e., 2⁻²³).
2. Consider the following assembly code in the SimpleRISC ISA.
asmCopyEditmovh r0, 0xFB12
addu r0, r0, 0xCDEF
- a) 0xCDEFFB12
- b) 0xFB12CDEF ✅
- c) 0x0001C901
- d) 0xFBCD12EF
Answer: b) 0xFB12CDEF
Explanation:
movh r0, 0xFB12moves 0xFB12 to the high 16 bits ofr0, sor0 = 0xFB120000.addu r0, r0, 0xCDEFadds 0xCDEF to the currentr0.
So, final result = 0xFB120000 + 0x0000CDEF = 0xFB12CDEF
3. What are the contents of r2 and r4 after executing this code?
asmCopyEditmov r1, 10
mov r3, 5
st r1, [sp]
add r4, r1, r3
ld r2, [sp]
- a) r2 = 10, r4 = 15 ✅
- b) r2 = 15, r4 = 10
- c) r2 = 10, r4 = 10
- d) r2 = 15, r4 = 15
Answer: a) r2 = 10, r4 = 15
Explanation:
st r1, [sp]stores 10 to memoryadd r4, r1, r3→ r4 = 10 + 5 = 15ld r2, [sp]→ r2 = value from memory = 10
4. What is the content of r2 after executing these instructions?
asmCopyEditmov r1, 20
lsl r2, r1, 2
- a) 80 ✅
- b) 10
- c) 40
- d) 5
Answer: a) 80
Explanation:
lslis logical shift left.r2 = r1 << 2= 20 × 2² = 80
5. The SimpleRISC ISA has ________ registers.
- a) 15
- b) 16 ✅
- c) 17
- d) None of the options
Answer: b) 16
Explanation: SimpleRISC has 16 general-purpose registers (r0 to r15).
6. Which of the following is not a shift instruction in the SimpleRisc ISA?
- a) lsl
- b) asr
- c) asl ✅
- d) lsr
Answer: c) asl
Explanation:
lsl,lsr, andasrare valid shift instructions.aslis not a valid instruction in SimpleRISC.
7. The bgt instruction bases its outcome on the value of ____________ flag(s).
- a) Both E and GT
- b) GT ✅
- c) E
- d) None of the options
Answer: b) GT
Explanation:
bgt(branch if greater than) checks the GT flag (Greater Than).
8. A fixed-point number has a fixed number of digits ___________.
- a) After the decimal point ✅
- b) Before the decimal point
- c) Both before and after the decimal point
- d) None of the options
Answer: a) After the decimal point
Explanation:
- Fixed-point representation typically keeps a fixed number of digits after the decimal to handle fractions.
9. UTF-32 uses __ bytes for every character.
- a) 2
- b) 4 ✅
- c) 6
- d) 8
Answer: b) 4
Explanation:
- UTF-32 encodes each Unicode character using exactly 4 bytes (32 bits).
10. How many bits are used for the exponent in IEEE 754 double precision?
- a) 11 ✅
- b) 8
- c) 52
- d) 10
Answer: a) 11
Explanation:
- IEEE 754 double precision format:
- 1 sign bit
- 11 exponent bits
- 52 mantissa (fraction) bits
