Indian Institute of Technology Mumbai (IIT-M) 2009 Other Bachelor

38. Refer to the NAND and NOR latches shown in the figure. The inputs ( ) one two P ,P for
both the latches are 1st made (0, 1) and then, after a few seconds, made (1, 1).
The corresponding stable outputs (Q1, Q2) are
(A) NAND: 1st (0, 1) then (0, 1) NOR: 1st (1, 0) then (0, 0)
(B) NAND: 1st (1, 0) then (1, 0) NOR: 1st (1, 0) then (1, 0)
(C) NAND: 1st (1, 0) then (1, 0) NOR: 1st (1, 0) then (0, 0)
(D) NAND: 1st (1, 0) then (1, 1) NOR: 1st (0, 1) then (0, 1)
39. elaborate the counting stages (Q1, Q2) for the counter shown in the figure below?
(A) 11,10,00,11,10,.... (B) 01,10,11,00,01,....
(C) 00,11,01,10,00,.... (D) 01,10,00,01,10,....
2 P
1 P
2 Q
1 Q
2 P
1 P
2 Q
1 Q
Clock JK Flip Flop JK Flip Flop
1 J
1 K
1 Q
1 Q
2 J
2 K
2 Q
2 Q
2 Q one Q
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40. A system with transfer function H(z) has impulse response h(.) described as
h(2)=1, h(3)=-1 and h(k)=0 otherwise. Consider the subsequent statements
( )
( )
S1:H z is a low pass filter
S2 :H z is a FIR filter
Which of the subsequent is correct?
(A) Only S2 is actual
(B) Both S1 and S2 are false
(C) Both S1 and S2 are true, and S2 is a cause for S1
(D) Both S1 and S2 are true, but S2 is not a cause for S1
41. Consider a system whose input x and output y are related by the formula
y (t) x (t )h(2 ) d
¥
-¥
=  - t t t
Where h(t) is shown in the graph
Which of the subsequent 4 properties are possessed by the system?
BIBO: Bounded input provide a bounded output
Causal: The system is causal
LP: The system is low pass
LTI: The system is linear and time invariant
(A) Causal, LP
(B) BIBO, LTI
(C) BIBO, Causal, LTI
(D) LP, LTI
42. The four point Discrete Fourier Transform (DFT) of a discrete time sequence
{1, 0, 2, 3} is
(A) 0, -2 + 2j,2, -2 - 2j
(B) 2,2 + 2j,6,2 - 2j

(C) 6,1 - 3j,2,1 + 3j

Earning:   Approval pending.