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162
GATE ECE 2023 | Question: 21
The signal-to-noise ratio $\mathrm{SNR}$ of an $\mathrm{ADC}$ with a full-scale sinusoidal input is given to be $61.96 \mathrm{~dB}$. The resolution of the $\mathrm{ADC}$ is_____________bits (rounded off to the nearest integer).
The signal-to-noise ratio $\mathrm{SNR}$ of an $\mathrm{ADC}$ with a full-scale sinusoidal input is given to be $61.96 \mathrm{~dB}$. The resolution of the $\mathrm{ADC}$...
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167
GATE ECE 2005 | Question: 5
The function $x(t)$ is shown in the figure. Even and odd parts of a unit-step function $u(t)$ are respectively, $\frac{1}{2}, \frac{1}{2} x(t)$ $-\frac{1}{2}, \frac{1}{2} x(t)$ $\frac{1}{2},-\frac{1}{2} x(t)$ $-\frac{1}{2},-\frac{1}{2} x(t)$
The function $x(t)$ is shown in the figure. Even and odd parts of a unit-step function $u(t)$ are respectively,$\frac{1}{2}, \frac{1}{2} x(t)$$-\frac{1}{2}, \frac{1}{2} x...
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171
GATE ECE 2017 Set 2 | Question: 21
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
1 votes
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172
GATE ECE 2017 Set 1 | Question: 27
A three dimensional region $R$ of finite volume is described by $x^2 + y^2 \leq z^3; \: \: 0 \leq z \leq 1,$ where $x,y,z$ are real. The volume of $R$ (up to two decimal places) is _________
A three dimensional region $R$ of finite volume is described by $x^2 + y^2 \leq z^3; \: \: 0 \leq z \leq 1,$ where $x,y,z$ are real. The volume of $R$ (up to two decimal...
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173
GATE ECE 2019 | Question: 1
Which one of the following functions is analytic over the entire complex plane? $\ln(z)$ $e^{1/z}$ $\frac{1}{1-z}$ $\cos(z)$
Which one of the following functions is analytic over the entire complex plane?$\ln(z)$$e^{1/z}$$\frac{1}{1-z}$$\cos(z)$
1 votes
1 answer
174
GATE ECE 2022 | GA Question: 7
Consider the following inequalities. $2x – 1 > 7$ $2x – 9 < 1$ Which one of the following expressions below satisfies the above two inequalities? $x \leq – 4$ $ – 4 < x \leq 4$ $4 < x < 5$ $x \geq 5$
Consider the following inequalities.$2x – 1 7$$2x – 9 < 1$Which one of the following expressions below satisfies the above two inequalities?$x \leq – 4$$ – 4 < x...
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175
GATE ECE 2017 Set 2 | Question: 32
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P-Q is _____________
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P-Q is _____________
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178
GATE ECE 2019 | Question: 9
The correct circuit representation of the structure shown in the figure is
The correct circuit representation of the structure shown in the figure is
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181
GATE ECE 1997 | Question 1.10
A deterministic signal has the power spectrum given in the figure is, The minimum sampling rate needed to completely represent this signal is $1 \; \mathrm{kHz}$ $2 \; \mathrm{kHz}$ $3 \; \mathrm{kHz}$ None of the above
A deterministic signal has the power spectrum given in the figure is, The minimum sampling rate needed to completely represent this signal is$1 \; \mathrm{kHz}$$2 \; \mat...
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182
GATE ECE 2020 | Question: 3
The partial derivative of the function $f(x, y, z) = e^{1-x\cos y} + xze^{-1/(1+y^{2})}$ with respect to $x$ at the point $(1,0,e)$ is $-1$ $0$ $1 \\$ $\dfrac{1}{e}$
The partial derivative of the function$$f(x, y, z) = e^{1-x\cos y} + xze^{-1/(1+y^{2})}$$with respect to $x$ at the point $(1,0,e)$ is$-1$$0$$1 \\$$\dfrac{1}{e}$
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183
GATE ECE 2023 | Question: 53
In a given sequential circuit, initial states are $Q_1=1$ and $Q_2=0$. For a clock frequency of $1 \; \mathrm{MHz}$, the frequency of signal $\mathrm{Q}_2$ in $\mathrm{kHz}$, is __________ (rounded off to the nearest integer).
In a given sequential circuit, initial states are $Q_1=1$ and $Q_2=0$. For a clock frequency of $1 \; \mathrm{MHz}$, the frequency of signal $\mathrm{Q}_2$ in $\mathrm{kH...
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188
GATE ECE 2019 | GA Question: 1
The strategies that the company ________ to sell its products _______ house-to-house marketing. use, includes uses, include used, includes uses, including
The strategies that the company ________ to sell its products _______ house-to-house marketing.use, includesuses, includeused, includesuses, including
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189
GATE ECE 2023 | Question: 14
The synchronous sequential circuit shown below works at a clock frequency $1 \; \mathrm{GHz}$. The throughput, in $\text{Mbits/s,}$ and the latency, in $\text{ns,}$ respectively, are $1000,3$ $333.33,1$ $2000,3$ $333.33,3$
The synchronous sequential circuit shown below works at a clock frequency $1 \; \mathrm{GHz}$. The throughput, in $\text{Mbits/s,}$ and the latency, in $\text{ns,}$ respe...
2 votes
1 answer
192
GATE ECE 2010 | Question: 39
The Boolean function realized by the logic circuit shown is $\text{F} = \sum_{\text{m}} (0, 1, 3, 5, 9, 10, 14)$ $\text{F}=\sum_{\text{m}}(2,3,5,7,8,12,13)$ $\text{F}=\sum_{\text{m}}(1,2,4,5,11, 14,15)$ $\text{F}= \sum_{\text{m}}(2,3,5,7,8,9,12)$
The Boolean function realized by the logic circuit shown is$\text{F} = \sum_{\text{m}} (0, 1, 3, 5, 9, 10, 14)$$\text{F}=\sum_{\text{m}}(2,3,5,7,8,12,13)$$\text{F}=\sum_{...
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193
GATE ECE 2017 Set 1 | Question: 16
The clock frequency of an $8085$ microprocessor is $5$ MHz . If the time required to execute an instruction is $1.4 \: \mu s$, then the number of T-states needed for executing the instruction is $1$ $6$ $7$ $8$
The clock frequency of an $8085$ microprocessor is $5$ MHz . If the time required to execute an instruction is $1.4 \: \mu s$, then the number of T-states needed for exec...
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194
GATE ECE 2015 Set 3 | Question: 36
A three bit pseudo random number generator is shown. Initially the value of output $Y\equiv Y_{2} Y_{1} Y_{0}$ is set to $111.$ The value of output $Y$ after three clock cycles is $000$ $001$ $010$ $100$
A three bit pseudo random number generator is shown. Initially the value of output $Y\equiv Y_{2} Y_{1} Y_{0}$ is set to $111.$ The value of output $Y$ after three clock ...
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196
GATE ECE 2000 | Question 2.14
In given figure, the steady state output voltage corresponding to the input voltage $3+4 \sin 100 t \mathrm{~V}$ is $3+\frac{4}{\sqrt{2}} \sin \left(100 t-\frac{\pi}{4}\right) \mathrm{V}$ $3+4 \sqrt{2} \sin \left(100 t-\frac{\pi}{4}\right) \mathrm{V}$ ... $3+4 \sin \left(100 t \div \frac{\pi}{4}\right) \mathrm{V}$
In given figure, the steady state output voltage corresponding to the input voltage $3+4 \sin 100 t \mathrm{~V}$ is$3+\frac{4}{\sqrt{2}} \sin \left(100 t-\frac{\pi}{4}\ri...
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