1. If M and N are the orders of numerator and denominator of rational system function respectively, then how many multiplications are required in direct form-I realization of that IIR filter?

A. M+N-1

B. M+N

C. M+N+1

D. M+N+2

2. If M and N are the orders of numerator and denominator of rational system function respectively, then how many additions are required in direct form-I realization of that IIR filter?

A. M+N-1

B. M+N

C. M+N+1

D. M+N+2

3. If M and N are the orders of numerator and denominator of rational system function respectively, then how many memory locations are required in direct form-I realization of that IIR filter?

A. M+N+1

B. M+N

C. M+N-1

D. M+N-2

4. In direct form-I realization, the all-pole system is placed before the all-zero system.

A. True

B. False

5. If M and N are the orders of numerator and denominator of rational system function respectively, then how many memory locations are required in direct form-II realization of that IIR filter?

A. M+N+1

B. M+N

C. Min [M, N]

D. Max [M, N]

6. The basic elements of a flow graph are branches and nodes.

A. True

B. False

7. Which of the following is true for the given signal flow graph?

A. Two-pole system

B. Two zero system

C. Two pole and two zero system

D. None of the mentioned

8. What are the nodes that replace the adders in the signal flow graphs?

A. Source node

B. Sink node

C. Branch node

D. Summing node

9. The output signal of a system is extracted at a sink node.

A. True

B. False

10. If we reverse the directions of all branch transmittances and interchange the input and output in the flow graph, then the resulting structure is called as _______

A. Direct form-I

B. Transposed form

C. Direct form-II

D. None of the mentioned

11. What does the structure given below represent?

A. Direct form-I

B. Regular Direct form-II

C. Transposed direct form-II

D. None of the mentioned

12. The structure shown below is known as ________

A. Parallel form structure

B. Cascade structure

C. Direct form

D. None of the mentioned

13. The state-space or the internal description of the system still involves a relationship between the input and output signals, what is the additional set of variables it also involves?

A. System variables

B. Location variables

C. State variables

D. None of the mentioned

14. State variables provide information about all the internal signals in the system.

A. True

B. False

15. Which of the following gives the complete definition of the state of a system at time n0?

A. Amount of information at n0 determines output signal for n≥n0

B. Input signal x(n) for n≥n0 determines output signal for n≥n0

C. Input signal x(n) for n≥0 determines output signal for n≥n0

D. Amount of information at n0+input signal x(n) for n≥n0 determines output signal for n≥n0

16. From the definition of the state of a system, the system consists of only one component called the memoryless component.

A. True

B. False

17. If we interchange the rows and columns of the matrix F, then the system is called as ________

A. Identity system

B. Diagonal system

C. Transposed system

D. None of the mentioned

18. A single input single output system and its transpose have identical impulse responses and hence the same input-output relationship.

A. True

B. False

19. A closed-form solution of the state space equations is easily obtained when the system matrix F is?

A. Transpose

B. Symmetric

C. Identity

D. Diagonal

20. What is the condition to call a number λ an Eigenvalue of F and a nonzero vector U is the associated Eigenvector?

A. (F+λI)U=0

B. (F-λI)U=0

C. F-λI=0

D. None of the mentioned

21. The determinant |F-λI|=0 yields the characteristic polynomial of the matrix F.

A. True

B. False

22. The parallel form realization is also known as normal form representation.

A. True

B. False

23. 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

24. 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

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

A. True

B. False

26. 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)

27. 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