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2921
GATE ECE 2004 | Question: 50
In a full-wave rectifier using two ideal diodes, $V_{d i}$ and $V_{i d}$ are the $d c$ ...
In a full-wave rectifier using two ideal diodes, $V_{d i}$ and $V_{i d}$ are the $d c$ and peak values of the voltage respectively across a resistive load. If PIV is the ...
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Sep 25, 2022
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2922
GATE ECE 2004 | Question: 51
The minimum number of $2$-to-$1$ multiplexers required to realize a $4$-to $1$ mulitiplexer is $1$ $2$ $3$ $4$
The minimum number of $2$-to-$1$ multiplexers required to realize a $4$-to $1$ mulitiplexer is$1$$2$$3$$4$
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Sep 25, 2022
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2923
GATE ECE 2004 | Question: 54
The $8255$ Programmable Peripheral Interface is used as described below. An A/D converter is interfaced to a microprocessor through $8255.$ The conversion is initiated by a signal from the $8255$ on Port C. A signal on Port C causes data to be strobed into Port A. Two computers ... II) Mode $2$ for (I) and Mode $0$ for (II) Mode $2$ for (I) and Mode $1$ for (II)
The $8255$ Programmable Peripheral Interface is used as described below.An A/D converter is interfaced to a microprocessor through $8255.$ The conversion is initiated by ...
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Sep 25, 2022
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2924
GATE ECE 2004 | Question: 77
Two sinusoidal signals of same amplitude and frequencies $10 \; \mathrm{kHz}$ and $10.1 \; \mathrm{kHz}$ are added together. The combined signal is given to an ideal frequency detector. The output of the detector is $0.1 \; \mathrm{kHz}$ sinusoid $20.1 \; \mathrm{kHz}$ sinusoid a linear function of time a constant
Two sinusoidal signals of same amplitude and frequencies $10 \; \mathrm{kHz}$ and $10.1 \; \mathrm{kHz}$ are added together. The combined signal is given to an ideal freq...
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Sep 25, 2022
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2925
GATE ECE 2004 | Question: 80
Choose the correct one from among the alternatives $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ after matching an item from Group $1$ with the most appropriate item in Group $2.$ ... $\text{1-S, 2-P, 3-U, 4-Q}$ $\text{1-U, 2-R, 3-S, 4-Q}$
Choose the correct one from among the alternatives $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ after matching an item from Group $1$ with the most appropriate item i...
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Sep 25, 2022
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2926
GATE ECE 2005 | Question: 42
The $h$ parameters of the circuit shown in the figure are $\left[\begin{array}{cc}0.1 & 0.1 \\ -0.1 & 0.3\end{array}\right]$ $\left[\begin{array}{cc}10 & -1 \\ 1 & 0.05\end{array}\right]$ $\left[\begin{array}{ll}30 & 20 \\ 20 & 20\end{array}\right]$ $\left[\begin{array}{cc}10 & 1 \\ -1 & 0.05\end{array}\right]$
The $h$ parameters of the circuit shown in the figure are$\left[\begin{array}{cc}0.1 & 0.1 \\ -0.1 & 0.3\end{array}\right]$$\left[\begin{array}{cc}10 & -1 \\ 1 & 0.05\end...
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Sep 22, 2022
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2927
GATE ECE 2005 | Question: 54
The Boolean expression for the truth table shown is ... $\overline{\mathrm{B}}(\mathrm{A}+\mathrm{C})(\overline{\mathrm{A}}+\overline{\mathrm{C}})$
The Boolean expression for the truth table shown is$$\begin{array}{|c|c|c|c|}\hline \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{F} \\\hline 0 & 0 & 0 & 0 \\\hline 0 & ...
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Sep 22, 2022
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2928
GATE ECE 2005 | Question: 55
Both transistors $\mathrm{T} 1$ and $\mathrm{T} 2$ show in the figure, have a threshold voltage of $1$ Volts. The device parameters $\mathrm{K}_1$ and $\mathrm{K}_2$ of $\mathrm{T} 1$ and $\mathrm{T} 2$ are, respectively, $36 \; \mu \mathrm{A/V}^{2}$ ... $V_{0}$ is $1 \mathrm{~V}$ $2 \mathrm{~V}$ $3 \mathrm{~V}$ $4 \mathrm{~V}$
Both transistors $\mathrm{T} 1$ and $\mathrm{T} 2$ show in the figure, have a threshold voltage of $1$ Volts. The device parameters $\mathrm{K}_1$ and $\mathrm{K}_2$ of $...
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Sep 22, 2022
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2929
GATE ECE 2005 | Question: 58
What memory address range is $\text{NOT}$ represented by chip $\# \; 1$ and chip $\# \; 2$ in the figure $\text{A}_{0}$ to $\text{A}_{15}$ in this figure are the address lines and $\text{CS}$ means Chip Select. 0100-02FF 1500-16FF F900-FAFF F800-F9FF
What memory address range is $\text{NOT}$ represented by chip $\# \; 1$ and chip $\# \; 2$ in the figure $\text{A}_{0}$ to $\text{A}_{15}$ in this figure are the address ...
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Sep 22, 2022
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2930
GATE ECE 2005 | Question: 73
A carrier is phase modulated (PM) with frequency deviation of $10 \; \mathrm{kHz}$ by a single tone frequency of $1 \; \mathrm{kHz}$. If the single tone frequency is increased to $2 \; \mathrm{kHz}$, assuming that phase deviation remains unchanged, the bandwidth of the PM signal is $21 \; \mathrm{kHz}$ $22 \; \mathrm{kHz}$ $42 \; \mathrm{kHz}$ $44 \; \mathrm{kHz}$
A carrier is phase modulated (PM) with frequency deviation of $10 \; \mathrm{kHz}$ by a single tone frequency of $1 \; \mathrm{kHz}$. If the single tone frequency is incr...
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Sep 22, 2022
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2931
GATE ECE 1995 | Question 2.1
A series $\mathrm{R}-\mathrm{L}-\mathrm{C}$ circuit has a $\mathrm{Q}$ of $100$ and an impedance of $(100+j 0) \Omega$ at its resonant angular frequency of $10^{7}$ radian $/ \mathrm{sec}$. The values of $\text{R}$ and $\text{L}$ are : $\text{R} = $______ ohms, $\text{L} = $_______ ohms.
A series $\mathrm{R}-\mathrm{L}-\mathrm{C}$ circuit has a $\mathrm{Q}$ of $100$ and an impedance of $(100+j 0) \Omega$ at its resonant angular frequency of $10^{7}$ radia...
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Sep 21, 2022
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2932
GATE ECE 2006 | Question: 41
For the circuit shown in the following figure, the capacitor $C$ is initially uncharged. At $t=0$, the switch $S$ is closed. The voltage $V_{C}$ across the capacitor at $t=1$ millisecond is In the figure shown above, the $\text{OP AMP}$ ... $\nabla$. $0$ Volts $6.3$ Volts $9.45$ Volts $10$ Volts
For the circuit shown in the following figure, the capacitor $C$ is initially uncharged. At $t=0$, the switch $S$ is closed. The voltage $V_{C}$ across the capacitor at $...
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Sep 20, 2022
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2933
GATE ECE 2006 | Question: 56
The positive values of $\text{“K”}$ and “$a$” so that the system shown in the figure below oscillates at a frequency of $2 \mathrm{rad} / \mathrm{sec}$ respectively are $1,0.75$ $2, 0.75$ $1,1$ $2,2$
The positive values of $\text{“K”}$ and “$a$” so that the system shown in the figure below oscillates at a frequency of $2 \mathrm{rad} / \mathrm{sec}$ respective...
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2934
GATE ECE 2006 | Question: 58
The transfer function of a phase-lead compensator is given by \[G_{c}(s)=\frac{1+3 T s}{1+T s} \text { where } T>0\] The maximum phase-shift provided by such a compensator is $\frac{\pi}{2}$ $\frac{\pi}{3}$ $\frac{\pi}{4}$ $\frac{\pi}{6}$
The transfer function of a phase-lead compensator is given by\[G_{c}(s)=\frac{1+3 T s}{1+T s} \text { where } T>0\]The maximum phase-shift provided by such a compensator ...
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Sep 20, 2022
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2935
GATE ECE 2006 | Question: 66
A medium of relative permittivity $\varepsilon_{r 2}=2$ forms an interface with free-space. A point source of electronagnetic energy is located in the medium at a depth of $1$ meter from the interface. Due to the total internal reflection, the transmitted beam has a circular cross-section ... $\frac{\pi}{2} \mathrm{~m}^{2}$ $\pi \; \mathrm{m}^{2}$
A medium of relative permittivity $\varepsilon_{r 2}=2$ forms an interface with free-space. A point source of electronagnetic energy is located in the medium at a depth o...
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Sep 20, 2022
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2936
GATE ECE 2006 | Question: 77
statement for Linked Answer Questions 76 and 77 A regulated power supply, shown in figure below, has an unregulated input (UR) of $15$ Volts and generates a regulated output $V_{\text {out }}$. Use the component values shown in the figure. In the figure ... across the transistor $\text{Q1}$ increases by $20 \%$ increases by $50 \%$ remains unchanged decreases by $20 \%$
statement for Linked Answer Questions 76 and 77A regulated power supply, shown in figure below, has an unregulated input (UR) of $15$ Volts and generates a regulated outp...
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2937
GATE ECE 2007 | Question: 70
A right circularly polarized (RCP) plane wave is incident at an angle of $60^{\circ}$ to the normal, on an air-dielectric interface. If the reflected wave is linearly polarized, the relative dielectric constant $\varepsilon_{r 2}$ is $\sqrt{2}$ $\sqrt{3}$ $2$ $3$
A right circularly polarized (RCP) plane wave is incident at an angle of $60^{\circ}$ to the normal, on an air-dielectric interface. If the reflected wave is linearly pol...
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Sep 19, 2022
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2938
GATE ECE 1993 | Question 4.7
The waveshape of $\mathrm{V}^{0}$ in the figure will be
The waveshape of $\mathrm{V}^{0}$ in the figure will be
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Sep 16, 2022
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2939
GATE ECE 1993 | Question 6.1
A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then the voltage across each resistor is halved doubled increased by four times not changed
A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then the voltage across each resistor ishalveddoubledincreased ...
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Sep 16, 2022
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2940
GATE ECE 1993 | Question 6.11
In a transistor push-pull amplifier there is no $d.c.$ present in the output there is no distortion in the output there are no even harmonics in the output there are no odd harmonics in the output
In a transistor push-pull amplifierthere is no $d.c.$ present in the outputthere is no distortion in the outputthere are no even harmonics in the outputthere are no odd h...
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Sep 16, 2022
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2941
GATE ECE 2009 | Question: 47
A message signal given by \[ m(t)=\left(\frac{1}{2}\right) \cos \omega_{1} t-\left(\frac{1}{2}\right) \sin \omega_{2} t \] is amplitude-modulated with a carrier of frequency $\omega_{c}$ to generate \[ s(t)=[1+m(t)] \cos \omega_{c} t \] What is the power efficiency achieved by this modulation scheme ? $8.33 \%$ $11.11 \%$ $20 \%$ $25 \%$
A message signal given by\[ m(t)=\left(\frac{1}{2}\right) \cos \omega_{1} t-\left(\frac{1}{2}\right) \sin \omega_{2} t \]is amplitude-modulated with a carrier of frequenc...
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Sep 15, 2022
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2942
GATE ECE 2010 | Question: 5
For a parallel $\text{RLC}$ circuit, which one of the following statements is $\text{NOT}$ correct? The bandwidth of the circuit decreases if $\mathrm{R}$ is increased The bandwidth of the circuit remains same if $\mathrm{L}$ is increased At resonance, input impedance is a real quantity At resonance, the magnitude of input impedance attains its minimum value
For a parallel $\text{RLC}$ circuit, which one of the following statements is $\text{NOT}$ correct?The bandwidth of the circuit decreases if $\mathrm{R}$ is increasedThe ...
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2943
GATE ECE 2010 | Question: 45
$\text{X}(t)$ is a stationary process with the power spectral density $\text{S}_{\text{X}}(f)>0$ for all $f$. The process is passed through a system shown below. Let $\text{S}_\text{Y}(f)$ be the power spectral density of $\text{Y}(t)$. Which one of the following ... any integer $\text{S}_\text{Y}(f)=0$ for $f=(2 n+1) f_{0} , f_{0}=1 \; \mathrm{kHz}, n$ any integer
$\text{X}(t)$ is a stationary process with the power spectral density $\text{S}_{\text{X}}(f)>0$ for all $f$. The process is passed through a system shown below.Let $\tex...
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Sep 15, 2022
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2944
TIFR ECE 2019 | Question: 2
Let $A$ and $B$ be two square matrices that have full rank. Let $\lambda_{A}$ be an eignevalue of $A$ and $\lambda_{B}$ an eigenvalue of $B$. Which of the following is always $\text{TRUE}?$ $A B$ has full rank $A-B$ ... an eigenvalue of $A B$ $A+B$ has full rank At least one of $\lambda_{A}$ or $\lambda_{B}$ is an eigenvalue of $A B$
Let $A$ and $B$ be two square matrices that have full rank. Let $\lambda_{A}$ be an eignevalue of $A$ and $\lambda_{B}$ an eigenvalue of $B$. Which of the following is al...
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Nov 30, 2022
Linear Algebra
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2945
TIFR ECE 2019 | Question: 6
Suppose that $X_{1}$ and $X_{2}$ denote the random outcomes of independent rolls of two dice. Each of the dice takes each of the six values $1,2,3,4,5$, and $6$ with equal probability. What is the value of the conditional expectation \[\mathbf{E}\left[\max \left(X_{1}, X_{2}\right) \mid \min \left(X_{1}, X_{2}\right)=3\right] ?\] $33 / 7$ $4$ $5$ $9 / 2$ $19 / 4$
Suppose that $X_{1}$ and $X_{2}$ denote the random outcomes of independent rolls of two dice. Each of the dice takes each of the six values $1,2,3,4,5$, and $6$ with equa...
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Nov 30, 2022
Probability and Statistics
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2946
TIFR ECE 2019 | Question: 12
Consider an urn with $a$ red and $b$ blue balls. Balls are drawn out one-by-one, without replacement and uniformly at random, until the first red ball is drawn. What is the expected total number of balls drawn by this process? (Hint: Consider deriving an appropriate recurrence.) $\frac{a+b}{a+1}$ $\frac{a+b+1}{a}$ $\frac{a+b}{a}$ $\frac{a+b+1}{a+1}$ $a$
Consider an urn with $a$ red and $b$ blue balls. Balls are drawn out one-by-one, without replacement and uniformly at random, until the first red ball is drawn. What is t...
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46.4k
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Nov 30, 2022
Probability and Statistics
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2947
TIFR ECE 2016 | Question: 11
Suppose that a random variable $X$ has a probability density function (pdf) given by \[f(x)=c \exp (-2 x)\] for $x \geq 1$, and $f(x)=0$, for $x<1$, where $c$ is an appropriate constant so that $f(x)$ is a valid pdf. What is the expected value of $X$ given that $X \geq 5?$ $5 \frac{1}{2}$ $7$ $10$ $8 \frac{1}{2}$ $6$
Suppose that a random variable $X$ has a probability density function (pdf) given by\[f(x)=c \exp (-2 x)\]for $x \geq 1$, and $f(x)=0$, for $x<1$, where $c$ is an appropr...
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Nov 29, 2022
Probability and Statistics
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2948
GATE ECE 1997 | Question 6
The figure is shows the block diagram representation of control system. The system in block A has an impulse response $h_{A}(t)=e^{-t} u (t)$. The system in block $B$ has an impulse response $h_{\mathrm{B}}(t)=e^{{-2 f}} u(t)$ ... for which the system becomes unstable Note: \[ \begin{aligned} u (t) &=01 \leq 9 \\ &=1 t>0 \end{aligned} \]
The figure is shows the block diagram representation of control system. The system in block A has an impulse response $h_{A}(t)=e^{-t} u (t)$. The system in block $B$ has...
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Oct 2, 2022
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2949
GATE ECE 1997 | Question 11
Consider the circuit given in the figure is using an ideal operational amplifier. The characteristics of the diode are given by the relation $\mathrm{I}=\mathrm{I}_{\mathrm{S}}\left(\frac{\mathrm{V}}{e^{\mathrm{kT}}}-1\right)$ where $V$ is the forward voltage across the ... $\frac{k \mathrm{T}}{q}=25 \mathrm{~mV}$, find the input voltage $V_{i}$, for which $V_{0}=0$.
Consider the circuit given in the figure is using an ideal operational amplifier.The characteristics of the diode are given by the relation $\mathrm{I}=\mathrm{I}_{\mathr...
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2950
GATE ECE 2000 | Question 6
The network $\mathrm{N}$ in given figure consists only of two elements: a resistor of $1 \; \Omega$ and an inductor of $\text{L}$ Henry. A $5 \mathrm{~V}$ source is connected at the input at $t=0$ seconds. The inductor current ... voltage transfer function of the network. Find $\text{L}$, and draw the configuration of the network. Find the impulse response of the network.
The network $\mathrm{N}$ in given figure consists only of two elements: a resistor of $1 \; \Omega$ and an inductor of $\text{L}$ Henry. A $5 \mathrm{~V}$ source is conne...
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Sep 29, 2022
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2951
GATE ECE 2000 | Question 14
For the $\text{CMOS}$ monostable multivibrator of given figure, $\mathrm{R}=50 \mathrm{~kW}, \mathrm{C}=0.01 \; \mu \mathrm{F}, \mathrm{V}_{\mathrm{DD}}=5 \mathrm{~V}$, and the $\text{CMOS NOR}$ ... $v_{\mathrm{R}}(t)$, for $t>0$. Find the time period of the output pulse.
For the $\text{CMOS}$ monostable multivibrator of given figure, $\mathrm{R}=50 \mathrm{~kW}, \mathrm{C}=0.01 \; \mu \mathrm{F}, \mathrm{V}_{\mathrm{DD}}=5 \mathrm{~V}$, a...
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Sep 29, 2022
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2952
GATE ECE 1999 | Question 10
In the $\text{CMOS}$ inverter circuit shown in the figure is the input Vi makes a transition from $\mathrm{V}_{\mathrm{OL}}(=0 \mathrm{~V})$ to $\mathrm{V}_{\mathrm{OH}}(=5 \mathrm{~V})$ ... $=20 \mu \mathrm{A} / \mathrm{V}^{2}, \quad \lambda=0$. Neglect body effect.
In the $\text{CMOS}$ inverter circuit shown in the figure is the input Vi makes a transition from $\mathrm{V}_{\mathrm{OL}}(=0 \mathrm{~V})$ to $\mathrm{V}_{\mathrm{OH}}(...
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Sep 29, 2022
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2953
GATE ECE 2001 | Question: 9
A monochrome video signal that ranges from $0$ to $8 \mathrm{~V}$, is digitized using an $8$-bit $\mathrm{ADC}$. Determine the resolution of the $\mathrm{ADC}$ in $\mathrm{V} / \mathrm{bit}$. Calculate the mean squared quantization error. Suppose the ADC ... $1 \; \mathrm{MHz}$. What is the time taken in seconds to get a digital equivalent of $1.59 \mathrm{~V} ?$
A monochrome video signal that ranges from $0$ to $8 \mathrm{~V}$, is digitized using an $8$-bit $\mathrm{ADC}$.Determine the resolution of the $\mathrm{ADC}$ in $\mathrm...
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2954
GATE ECE 2002 | Question: 10
Each transistor in the figure is has dc current gain $\beta_{dc}=50$, cut-in voltage $V_{\gamma}=0.65 \mathrm{~V}$ and $\mathrm{V}_{\mathrm{BE'} \text { sat}}=0.75 \mathrm{~V}$. The output voltage $\mathrm{V}_{0}$ for $\mathrm{T}_{2}$ ... high input (logic $1$) and the worst-case low input (logic 0) for which $\mathrm{T}_{2}$ will be either in saturation or in cut-off.
Each transistor in the figure is has dc current gain $\beta_{dc}=50$, cut-in voltage $V_{\gamma}=0.65 \mathrm{~V}$ and $\mathrm{V}_{\mathrm{BE’} \text { sat}}=0.75 \mat...
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Sep 27, 2022
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2955
GATE ECE 1998 | Question 2.3
In the figure is $A=1$ and $B=1$, the input $B$ is now replaced by a sequence $101010 \ldots$. , the outputs $x$ and $y$ will be fixed at $0$ and $1$, respectively $x=1010 \ldots \ldots$ while $y=0101 \ldots \ldots$ $x=1010 \ldots \ldots$ and $y=1010 \ldots \ldots$. fixed at $1$ and $0$, respectively
In the figure is $A=1$ and $B=1$, the input $B$ is now replaced by a sequence $101010 \ldots$. , the outputs $x$ and $y$ will befixed at $0$ and $1$, respectively$x=1010 ...
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Sep 26, 2022
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2956
GATE ECE 1998 | Question 2.16
The $\text{ACF}$ of a rectangular pulse of duration $\mathrm{T}$ is a rectangular pulse of duration $\mathrm{T}$ a rectangular pulse of duration $\mathrm{2T}$ a triangular pulse of duration $\text{T}$ a triangular pulse of duration $2 \mathrm{T}$
The $\text{ACF}$ of a rectangular pulse of duration $\mathrm{T}$ isa rectangular pulse of duration $\mathrm{T}$a rectangular pulse of duration $\mathrm{2T}$a triangular p...
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Sep 26, 2022
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2957
GATE ECE 1998 | Question 2.18
In a $\text{PCM}$ system with uniform quantisation, increasing the number of bits from $8$ to $9$ will reduce the quantisation noise power by a factor of $9$ $8$ $4$ $2$
In a $\text{PCM}$ system with uniform quantisation, increasing the number of bits from $8$ to $9$ will reduce the quantisation noise power by a factor of$9$$8$$4$$2$
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Sep 26, 2022
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GATE ECE 1998 | Question 2.24
Compression in $\text{PCM}$ refers to relative compression of higher signal amplitudes lower signal amplitudes lower signal frequencies higher signal frequencies
Compression in $\text{PCM}$ refers to relative compression ofhigher signal amplitudeslower signal amplitudeslower signal frequencieshigher signal frequencies
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GATE ECE 1998 | Question 2.27
The probability density function of the envelope of narrow band Gaussian noise is Poisson Gaussian Rayleigh Rician
The probability density function of the envelope of narrow band Gaussian noise isPoissonGaussianRayleighRician
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GATE ECE 1998 | Question 2.29
The Maxwell equation $\mathrm{V} \times \mathrm{H}=\mathrm{J}+\frac{\partial \overline{D}}{\partial t}$ is based on Ampere's law Gauss' law Faraday's law Coulomb's law
The Maxwell equation $\mathrm{V} \times \mathrm{H}=\mathrm{J}+\frac{\partial \overline{D}}{\partial t}$ is based onAmpere's lawGauss' lawFaraday's lawCoulomb's law
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