Gate Graduate Aptitude Test in Engineering Electronics & Communication Engineering 2020 2020 by Rajiv Kapoor | 9789353437794 | 9353437792 | Holooly

Gate Graduate Aptitude Test in Engineering Electronics & Communication Engineering 2020 [EXP-722]

2136 SOLVED PROBLEMS

Question: 1.1.22

. An AM signal and a narrow-band FM signal with identical carriers, modulating signals and modulation indices of 0.1 are added together. The resultant signal can be closely approximated by (a) broadband FM (b) SSB with carrier (c) DSB-SC (d) SSB without carrier

Verified Answer:

Standard equation for narrow band FM is given by [...

Question: 2.1

(A) Draw the transfer characteristics of the circuit of figure, assuming both D1 and D2 to be ideal (B) How would the characteristics change if D2 is ideal, but D 1 is no-ideal and has a forward resistance of 10 W and a reverse of infinity.

Verified Answer:

(A) Both the Diodes are ideal whom

V_{0}[/l...

Question: 8.1.9

(a) Successive approximation (b) Dual-slope (b) Parallel comparator Maximum conversion time for 8 bit ADC in clock cycles (1) 1 (2) 2 (3) 16 (4) 256 (5) 512

Verified Answer:

Successive approximation:

T_{\max }=n T_{ c...

{x(n)} is a real-valued periodic sequence with a period N. x(n) and X(k) form N-point Discrete Fourier Transform (DFT) pairs. The DFT Y(k) of the sequence y(n) = 1/N ∑r=0^N-1 x(r) x(n + r) is (a) |X(K)|^2 (b) 1/N ∑r=0^N-1 X(r) X^* (k + r) (c) 1/N ∑r=0^N-1 X(r) X (k + r) (d) 0

Verified Answer:

DFT of

y(n) = |x(k)|^{2}

Hence, the...

Question: 2.1.3

{Xn}^=∞ n=-∞ is an independent and identically distributed (i.i.d) random process with Xn equally likely to be +1 or –1. {Yn}^n=∞ n=-∞ is another random process obtained as Yn = Xn + 0.5 X n-1. The autocorrelation function of {Yn}^n=∞ n=-∞ , denoted by RY[k], is

Verified Answer:

\begin{gathered}R_{y}(k)=R_{y}(n, n+k) \\=E...

Question: 1.1.21

∮C A→.dl→=∫S___d→s

Verified Answer:

(\nabla \times \vec{A})

By using st...

Question: 1.2.3

11001, 1001 and 111001 correspond to the 2’s complement representation of which of the following sets of number? (a) 25, 9 and 57, respectively (b) −6, −6 and −6, respectively (c) −7, −7 and −7, respectively (d) −25, −9 and −57, respectively

Verified Answer:

\begin{array}{r}11001 \stackrel{\text { inv...

Question: 1.1.9

2’s complement representation of a 16-bit number (one sign bit and 15 magnitude bits) is FFFF. Its magnitude in decimal representation is (a) 0 (b) 1 (c) 32,767 (d) 65, 535

Verified Answer:

2’s complement 16 bit no (1 sign + 15mag bit) = FF...

Question: 1.1.5

4-bit 2’s complement representation of a decimal number is 1000. The number is (a) +8 (b) 0 (c) −7 (d) −8

Verified Answer:

2’s complement = 1000——, MSB = 1 ⇒ – ve number. Ta...

Question: 4.5.2

A ‘code converter’ is to be designed to convert from the BCD (5421) to the normal BCD (8421). The input BCD combinations for each digit are given below. A block diagram of the converter is shown in figure. (a) Draw K-maps for outputs W, X, Y and Z. (b) Obtain minimized expression for the output W,

Verified Answer:

Decimal BCD(5421) BCD(8421) A B C D W X Y Z 0...

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