# Number Representation 2 MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Number Representation 2″.

1. The binary digit b_{-A} is called as ______________

a) LSB

b) Total value

c) MSB

d) None of the mentioned

2. 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

3. 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

4. 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

5. The truncation error for the sign magnitude representation is symmetric about zero.

a) True

b) False

6. 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}

7. What is the 2’s complement of (1100)_{2}?

a) (0100)_{2}

b) (0011)_{2}

c) (0111)_{2}

d) (1100)_{2}

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

a) (10011)_{2}

b) (0011)_{2}

c) (1100)_{2}

d) (1101)_{2}

9. 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})]

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