[Week 1] NPTEL Digital System Design Assignment Answers 2024

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NPTEL Digital System Design Week 1 Assignment Answers 2024

1. What is the hexadecimal equivalent of (101010101)2

  • (157)16
  • (155)16
  • (1D6)16
  • (196)16
Answer :- 

2. Convert (1ABC)1616 into its equivalent octal representation.

  • (15274)8
  • (25274)8
  • (25272)8
  • (15272)8
Answer :- 

3. Which of the following is equivalent to (1764)88.

1. (999)1010+(11)1010
2. (10000000000)-22(1100)22
3. (3E8)1616+(C)1616
4. (2114)88-(130)8

  • Only 1
  • Only 2 and 3
  • Only 3 and 4
  • Only 2, 3, and 4
Answer :- 

4. What is the decimal equivalent of the binary number 0.111011?

  • 0.46875
  • 0.484375
  • 0.984375
  • 0.921875
Answer :- 

5. Consider these two unsigned binary numbers (11111011)2 and (11111010)2
 . what is their addition?

  • 111110101
  • 111111110
  • 101111101
  • 111001110
Answer :- 

6. The range of values that can be represented by 10 bit in 2’s complement form is

  • -512 to +512
  • -512 to +511
  • -256 to +256
  • -256 to +255
Answer :- 

7. What is the 2’s complement of (19)1010 in 8-bit format?

  • 11101101
  • 11101110
  • 11110001
  • 11101010
Answer :- 

8. In 16-bit 2’s complement representation, the decimal number -28 is

  • 1111 1111 0001 1100
  • 1111 1111 1110 0100
  • 1000 0000 0000 1011
  • 1000 0000 0010 1010
Answer :- 

9. The greatest negative number that can be stored in a 9-bit register using 2’s complement arithmetic

  • -511
  • -512
  • -255
  • -256
Answer :- 

10. What is the binary representation of 0.4 with a precision of 6 bits?

  • 0.110011
  • 0.011
  • 0.011001
  • 0.010011
Answer :- 

11. What is the addition of 11101111 (binary 2’s complement) with 00010111 (binary 2’s complement)?

  • -40
  • 6
  • 262
  • -21
Answer :- 

12. What is the number of 1s in the 2s’ complement binary representation of -42, considering an 8-bit binary representation?”

  • 2
  • 3
  • 4
  • 5
Answer :- 

13. Why does 1’s complement system in 8 bits have a different range than 2’s complement system in 8 bits?

  • 1’s complement uses a sign bit, and 2’s complement does not
  • 2’s complement has two representations for 0
  • 1’s complement has two representations for 127
  • 1’s complement has two representations for 0
  • Both 1’s complement and 2’s complement have the same range
Answer :- 

14. The minimum decimal equivalent of the number (67) is.

  • 19
  • 67
  • 55
  • 31
Answer :- 

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