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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) 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)
Answer: (xmax-xmin)/(2b-1)
(2) 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
Answer: 0.101000,011

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(3) If the two numbers are to be multiplied, the mantissa are multiplied and the exponents are added.
[A] True
[B] False
Answer: True
(4) 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
Answer: 0.3*10-38
(5) If 0< E<255, then which of the following statement is true about X?
[A] Fractional number
[B] Infinity
[C] Mixed number
[D] Zero
Answer: Mixed number
(6) For a twos complement representation, the truncation error is ____________
[A] Always positive
[B] Always negative
[C] Zero
[D] None of the mentioned
Answer: Always negative
(7) Due to non-uniform resolution, the corresponding error in a floating point representation is proportional to the number being quantized.
[A] True
[B] False
Answer: True
(8) What is the binary equivalent of (-3/8)?
[A] (10011)2
[B] (0011)2
[C] (1100)2
[D] (1101)2
Answer: (1101)2
(9) Which of the following is the correct representation of a floating point number X?
[A] 2E
[B] M.2E(1/2<M<1)
[C] 2M.2E(1/2<M<1)
[D] None of the mentioned
Answer: M.2E(1/2<M<1)
(10) 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
Answer: 0.101011,011

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