1. If (101.01)2=(x)10, then what is the value of x?

A. 505.05

B. 10.101

C. 101.01

D. 5.25

2. If X is a real number with ‘r’ as the radix, A is the number of integer digits and B is the number of fraction digits, then X=\(\sum_{i=-A}^B b_i r^{-i}\).

A. True

B. False

3. The binary point between the digits b0 and b1 exists physically in the computer.

A. True

B. False

4. What is the resolution to cover a range of numbers xmax-xmin with ‘b’ number of bits?

A. (xmax+xmin)/(2b-1)

B. (xmax+xmin)/(2b+1)

C. (xmax-xmin)/(2b-1)

D. (xmax-xmin)/(2b+1)

5. What are the mantissa and exponent required respectively to represent ‘5’ in binary floating-point representation?

A. 011,0.110000

B. 0.110000,011

C. 011,0.101000

D. 0.101000,011

6. If the two numbers are to be multiplied, the mantissa is multiplied and the exponents are added.

A. True

B. False

7. What is the smallest floating-point number that can be represented using a 32-bit word?

A. 3*10^{-38}

B. 2*10^{-38}

C. 0.2*10^{-38}

D. 0.3*10^{-38}

8. If 0<E<255, then which of the following statement is true about X?

B. Infinity

C. Mixed number

D. Zero

9. For a twos complement representation, the truncation error is _________

A. Always positive

B. Always negative

C. Zero

D. None of the mentioned

10. Due to non-uniform resolution, the corresponding error in a floating-point representation is proportional to the number being quantized.

A. True

B. False

11. What is the binary equivalent of (-3/8)?

A. (10011)_{2}

B. (0011)_{2}

C. (1100)_{2}

D. (1101)_{2}

12. Which of the following is the correct representation of a floating-point number X?

A. 2^{E}

B. M.2^{E}(1/2<m<1)

C. 2M.2^{E}(1/2<m<1)

D. None of the mentioned

13. What is the mantissa and exponent respectively obtained when we add 5 and 3/8 in binary float point representation?

A. 0.101010,011

B. 0.101000,011

C. 0.101011,011

D. 0.101011,101

14. What is the largest floating-point number that can be represented using a 32-bit word?

A. 3*10^{38}

B. 1.7*10^{38}

C. 0.2*10^{38}

D. 0.3*10^{38}

15. If E=0 and M=0, then which of the following statement is true about X?

A. Not a number

B. Infinity

C. Defined

D. Zero

16. The truncation error for the sign-magnitude representation is symmetric at about zero.

A. True

B. False

17. What is the range of round-off error for a foxed point representation?

A. [-0.5(2^{-b}+2^{-bm}), 0.5(2^{-b}+2^{-bm})]

B. [0, (2^{-b}+2^{-bm})]

C. [0, (2^{-b}-2^{-bm})]

D. [-0.5(2^{-b}-2^{-bm}), 0.5(2^{-b}-2-bm^{-bm})]

18. What is the 2’s complement of (1100)2?

A. (0100)_{2}

B. (0011)_{2}

C. (0111)_{2}

D. (1100)_{2}

19. The binary digit b-A is called as ______

A. LSB

B. Total value

C. MSB

D. None of the mentioned

20. If E=255 and M≠0, then which of the following statement is true about X?

A. Not a number

B. Infinity

C. Defined

D. Zero

21. When the frequency band is selected we can specify the sampling rate and the characteristics of the pre-filter, which is also called as __________ filter.

A. Analog filter

B. Anti-aliasing filter

C. Analog & Anti-aliasing filter

D. None of the mentioned

22. What are the main characteristics of an Anti-aliasing filter?

A. Ensures that the bandwidth of the signal to be sampled is limited to the frequency range

B. To limit the additive noise spectrum and other interference, which corrupts the signal

C. All of the mentioned

D. None of the mentioned

23. In general, a digital system designer has better control of tolerances in a digital signal processing system than an analog system designer who is designing an equivalent analog system.

A. True

B. False

24. The selection of the sampling rate Fs=1/T, where T is the sampling interval, not only determines the highest frequency (Fs/2) that is preserved in the analog signal but also serves as a scale factor that influences the design specifications for digital filters.

A. True

B. False

25. What is the configuration of system for digital processing of an analog signal?

A. Analog signal|| Pre-filter -> D/A Converter -> Digital Processor -> A/D Converter -> Post-filter

B. Analog signal|| Pre-filter -> A/D Converter -> Digital Processor -> D/A Converter -> Post-filter

C. Analog signal|| Post-filter -> D/A Converter -> Digital Processor -> A/D Converter -> Pre-filter

D. None of the mentioned

26. In DM further, the two integrators at encoding are replaced by one integrator placed before the comparator, and then such system is called?

A. System-delta modulation

B. sigma-delta modulation

C. Source-delta modulation

D. None of the mentioned