NPTEL Digital System Design Week 2 Assignment Answers 2025
1. Consider the following custom mapping between 4-bit binary numbers and decimal values:
● 0000 → 5
● 0001 → 10
● 0010 → 15
● 0011 → 20
What decimal value corresponds to the binary number 1001 if the pattern continues linearly?
- 45
- 50
- 55
- 60
Answer :- For Answers Click Here
2. The BCD number 0110 0101 is given. What is the result of adding 38 to the decimal equivalent of this BCD number?
- 93
- 103
- 101
- 110
Answer :-
3. Why might Binary-Coded Decimal (BCD) be considered advantageous in certain computing applications, especially in early systems like the IBM System/360?
- It simplifies hardware requirements for arithmetic operations.
- It provides a direct correspondence between binary values and decimal digits, avoiding conversion complexities.
- It optimizes memory usage by reducing the number of bits per digit compared to pure binary.
- It enhances processing speed for binary arithmetic calculations.
Answer :-
4. What is the correct procedure for performing Binary-Coded Decimal (BCD) addition?
- Perform binary addition and subtract 0110 from any nibble with a value greater than 9
- Perform binary addition; if a nibble exceeds 9 or generates a carry, add 0110 to the nibble
- Add each nibble directly without any correction or carry handling.
- Perform binary addition and only correct the final result by converting it to decimal.
Answer :-
5. What is the 2-out-of-5 code for the decimal number 6?
- 01010
- 10001
- 10100
- 11000
Answer :-
6. If the Gray code 1110 is given, what is the corresponding decimal number?
- 11
- 12
- 13
- 14
Answer :- For Answers Click Here
7. Which of the following represents the correct structure of an IEEE 754 single-precision floating-point number?
- 1 bit for sign, 10 bits for exponent, 21 bits for mantissa
- 1 bit for sign, 8 bits for exponent, 23 bits for mantissa
- 2 bits for sign, 8 bits for exponent, 22 bits for mantissa
- 1 bit for sign, 7 bits for exponent, 24 bits for mantissa
Answer :-
8. The 32-bit IEEE 754 single-precision floating-point representation of a number has the following components:
● Sign bit (s): 0
● Exponent (e): 10000001 (binary)
● Mantissa (m): 01000000000000000000000 (binary)
What is the decimal value of the represented number?
- 2.25
- 4.5
- 5.0
- 10.0
Answer :-
9. The decimal number 10.125 is represented in the IEEE 754 single-precision floating-point format as:
Sign: 0, Exponent: 10000010 (binary), Mantissa: 01001000000000000000000 (binary).
What is the hexadecimal representation of its IEEE 754 representation?
- 0x40240000
- 0x41220000
- 0xC1240000
- 0x41240000
Answer :-
10. What is the largest positive number that can be represented in IEEE 754 single-precision format?
- 2127
- 3.4×1038
- 1.1×10−38
- 2128
Answer :- For Answers Click Here
11. The decimal number 3.375 is represented in the IEEE 754 half-precision floating-point format. What is the hexadecimal representation of this number in half-precision?
- 42C0
- 4124
- C140
- 414A
Answer :-
12. Which of the following describes Intel’s 80-bit floating point format?
- 1 bit of sign, 14 bits of exponent, 65 bits of mantissa
- 1 bit of sign, 15 bits of exponent, 64 bits of mantissa
- 1 bit of sign, 16 bits of exponent, 63 bits of mantissa
- 1 bit of sign, 13 bits of exponent, 66 bits of mantissa
Answer :-
15. Convert the given Excess-3 code 0110 0101 into BCD format.
- 0110 0101
- 0101 0100
- 0011 0010
- 0110 0001
Answer :-
14. When performing BCD addition for the numbers 57+68, does an invalid BCD condition occur? If yes, how many times does it occur?
- It does not occur
- It occurs only once
- It occurs twice
- It occurs thrice
Answer :-
15. Representation of zero in 1’s complement form (8 bits ) is
a). 00000000
b). 11111111
- Only a
- Only b
- Both a and b
- None of the above
Answer :- For Answers Click Here
