# [Week 1] NPTEL Digital System Design Assignment Answers 2024

## 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)1616Â 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)2Â and (11111010)2
Â . what is their addition?

• 111110101
• 111111110
• 101111101
• 111001110
`Answer :- `

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

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

7. What is the 2â€™s complement of (19)1010Â in 8-bit format?

• 11101101
• 11101110
• 11110001
• 11101010
`Answer :- `

8. In 16-bit 2â€™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 2â€™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 2â€™s complement) with 00010111 (binary 2â€™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 1â€™s complement system in 8 bits have a different range than 2â€™s complement system in 8 bits?

• 1â€™s complement uses a sign bit, and 2â€™s complement does not
• 2â€™s complement has two representations for 0
• 1â€™s complement has two representations for 127
• 1â€™s complement has two representations for 0
• Both 1â€™s complement and 2â€™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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