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441
GATE ECE 2001 | Question: 1.12
For the ring oscillator shown in the figure, the propagation delay of each inverter is $100$ pico sec. What is the fundamental frequency of the oscillator output? $10 \; \mathrm{MHz}$ $100 \; \mathrm{MHz}$ $1 \; \mathrm{GHz}$ $2 \; \mathrm{GHz}$
For the ring oscillator shown in the figure, the propagation delay of each inverter is $100$ pico sec. What is the fundamental frequency of the oscillator output?$10 \; \...
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GATE ECE 1997 | Question 1.5
The Laplace Transform of $e \alpha t \cos (\alpha \; t)$ is equal to $\frac{(s-\alpha)}{(s-\alpha)^2+\alpha^2}$ $\frac{(s+\alpha)}{(s-\alpha)^2+\alpha^2}$ $\frac{1}{(s-\alpha)^2}$ None of the above
The Laplace Transform of $e \alpha t \cos (\alpha \; t)$ is equal to$\frac{(s-\alpha)}{(s-\alpha)^2+\alpha^2}$$\frac{(s+\alpha)}{(s-\alpha)^2+\alpha^2}$$\frac{1}{(s-\alph...
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GATE ECE 1997 | Question 30
A dipole antenna has a $\sin \theta$ radiation pattern where the angle $\theta$ ... in the radiation pattern at an angle of $45^{\circ}$ from the ground plane? Find the direction of maximum radiation also.
A dipole antenna has a $\sin \theta$ radiation pattern where the angle $\theta$ is measured from the axis of the dipole. The dipole is vertically located above an ideal g...
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GATE ECE 2006 | Question: 45
For the circuit shown in figure below, two $4$ ... $\mathrm{S}=1, \mathrm{C}_{0}=0$ $\mathrm{S}=1, \mathrm{C}_{0}=1$
For the circuit shown in figure below, two $4$-bit parallel-in serial-out shift registers loaded with the data shown are used to feed the data to a full adder. Initially,...
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GATE ECE 2000 | Question 2.1
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are $2,-2,1,-1$ $2, 3, -2, 4$ $2,3,1,4$ None of these
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are$2,-2,1,-1$$2, 3, -2, 4...
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GATE ECE 2000 | Question 1.7
The current gain of a bipolar transistor drops at high frequencies because of transistor capacitances high current effects in the base parasitic inductive elements the Early effect
The current gain of a bipolar transistor drops at high frequencies because oftransistor capacitanceshigh current effects in the baseparasitic inductive elementsthe Early ...
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GATE ECE 2000 | Question 2.15
In a digital communication system employing Frequency Shift Keying $\text{(FSK)}$, the $0$ and $1$ bit are represented by sine waves of $10 \; \mathrm{kHz}$ and $25 \; \mathrm{kHz}$ respectively. These waveforms will be orthogonal for a bit interval of $45 \; \mu \mathrm{sec}$ $200 \; \mu \mathrm{sec}$ $50 \; \mu \mathrm{sec}$ $250 \; \mu \mathrm{sec}$
In a digital communication system employing Frequency Shift Keying $\text{(FSK)}$, the $0$ and $1$ bit are represented by sine waves of $10 \; \mathrm{kHz}$ and $25 \; \m...
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GATE ECE 1997 | Question 25
A block diagram of a system is shown in the figure is draw the spectrum of the output signal with relative aptitudes of the frequencies.
A block diagram of a system is shown in the figure is draw the spectrum of the output signal with relative aptitudes of the frequencies.
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449
GATE ECE 1997 | Question 4.9
The gate delay of an $\text{NMOS}$ inverter is dominated by charge time rather than discharge time because the driver transistor has larger threshold voltage than the load transistor the driver transistor has larger leakage currents compared to the load transistor the load transistor has a smaller $\text{W/L}$ ratio compared to the driver transistor none of the above
The gate delay of an $\text{NMOS}$ inverter is dominated by charge time rather than discharge time becausethe driver transistor has larger threshold voltage than the load...
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GATE ECE 1997 | Question 27
The figure is shows the block diagram of phase-locked-loop $\text{(PLL)}$ in the locked condition. The output voltage of the phase detector is given by \[ \mathrm{V}_{p}=\mathrm{K}_{d}\left(\phi_{i}-\phi_{0}\right), \] where $\phi_{1}=$ phase of the input signal ... $(t)=u(t)$ radian, where $u(t)$ is the unit step function. Determine $\Phi_{0}(t)$ for $t>0$.
The figure is shows the block diagram of phase-locked-loop $\text{(PLL)}$ in the locked condition.The output voltage of the phase detector is given by\[\mathrm{V}_{p}=\ma...
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GATE ECE 1997 | Question 19
An $\text{IC}$ $555$ ... for the configuration chosen. If necessary you can suggest modification in the external circuit configuration.
An $\text{IC}$ $555$ chip has been used to construct a pulse-Generator. Typical pin connections with components is shown below in the figure is for such an application. H...
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GATE ECE 1997 | Question 14
A sequence generator is shown in the figure is The counter status $\left(\mathrm{Q}_{0^{\prime}}, \mathrm{Q}_{1}, \mathrm{Q}_{2}\right)$ is initialised to $010$ ... rising clock edge. Give the sequence generate at $\mathrm{Q}_{0}$ till it repeats. What is the repetition rate of the generated sequence?
A sequence generator is shown in the figure is The counter status $\left(\mathrm{Q}_{0^{\prime}}, \mathrm{Q}_{1}, \mathrm{Q}_{2}\right)$ is initialised to $010$ using pre...
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GATE ECE 2000 | Question 2.13
Let $u(t)$ be the step function. Which of the Waveforms in given figure, $(a)$ - $(d)$ corresponds to the convolution of $u(t)-u(t-1)$ with $u(t)-u(t-2)$ ?
Let $u(t)$ be the step function. Which of the Waveforms in given figure, $(a)$ - $(d)$ corresponds to the convolution of $u(t)-u(t-1)$ with $u(t)-u(t-2)$ ?
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GATE ECE 1997 | Question 13
In the cascade amplifier circuit shown in the figure is determine the values of $R_{1}, R_{2}$ and $R_{L}$ such that the quiescent current through the transistors is $1 \mathrm{~mA}$ and the collector voltages are $\mathrm{V}_{\mathrm{C}}=3 \mathrm{~V}$ ... Take $\mathrm{V}_{\mathrm{BE}}=0.7 \mathrm{~V}$, transistor $\beta$ to be high and base currents to be negligible.
In the cascade amplifier circuit shown in the figure is determine the values of $R_{1}, R_{2}$ and $R_{L}$ such that the quiescent current through the transistors is $1 \...
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GATE ECE 1997 | Question 22
In the circuit of figure when $R=0 \; \Omega$, the current $i_{k}$ equals $10 \mathrm{~A}$ Find the value of $R$ for which it absorbs maximum power Find the value of $\varepsilon$ Find $V_{2}$ when $R=\infty$ (open circuit)
In the circuit of figure when $R=0 \; \Omega$, the current $i_{k}$ equals $10 \mathrm{~A}$Find the value of $R$ for which it absorbs maximum powerFind the value of $\vare...
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GATE ECE 1997 | Question 10
In the ciruit of the figure is $\mathrm{R}=100 \; \Omega, \mathrm{L}=20 \; n \mathrm{H}$ and $\mathrm{C}=32 \; \mathrm{pF}$. The circuit is maintained at a temperature of $300 \; \text{K.}$ Derive and plot the power spectral density of the ... the relevant points on the plot with numerical values. (The Boltzmann constant \[ k=1.28 \times 10-23 \mathrm{~J} / \mathrm{K} \]
In the ciruit of the figure is $\mathrm{R}=100 \; \Omega, \mathrm{L}=20 \; n \mathrm{H}$ and $\mathrm{C}=32 \; \mathrm{pF}$.The circuit is maintained at a temperature of ...
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GATE ECE 1997 | Question 8
The transistor in the circuit shown in the figure is so biased ($dc$ biasing network is not shown) that the $dc$ collecter current $I_{c}=1 \mathrm{~mA}$. Supply is $V_{cc}=5 \mathrm{~V}$. The network components have following values \[\begin{array}{l ... capacitor across $R_{E}$ is $25 \mu \mathrm{F}$. The bypass capacitor $C_{E}$ is removed leaving $R_{E}$ unbypassed
The transistor in the circuit shown in the figure is so biased ($dc$ biasing network is not shown) that the $dc$ collecter current $I_{c}=1 \mathrm{~mA}$. Supply is $V_{c...
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GATE ECE 1997 | Question 24
For the circuit shown in the figure is choose state variables $\mathrm{X}_{1}, \mathrm{X}_{2}, \mathrm{X}_{3^{\prime}}$, to be $i_{\mathrm{L} 1}(t), \mathrm{V}_{c2}(t), i_{\mathrm{L} 3}(t)$ Write the state equations \[ \left[\begin{array}{l ... $1 \mathrm{~A}$, then what would the total energy dissipated in the resistors in the interval $(0, \infty)$ be ?
For the circuit shown in the figure is choose state variables $\mathrm{X}_{1}, \mathrm{X}_{2}, \mathrm{X}_{3^{\prime}}$, to be $i_{\mathrm{L} 1}(t), \mathrm{V}_{c2}(t), i...
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GATE ECE 2000 | Question 1.10
The configuration of given figure is a precision integrator Hartley oscillator Butterworth high pass filter Wien-bridge oscillator
The configuration of given figure is aprecision integratorHartley oscillatorButterworth high pass filterWien-bridge oscillator
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GATE ECE 2000 | Question 2.7
For the logic circuit shown in, the simplified Boolean expression for the output $Y$ is $\mathrm{A}+\mathrm{B}+\mathrm{C}$ $\mathrm{A}$ $\mathrm{B}$ $\mathrm{C}$
For the logic circuit shown in, the simplified Boolean expression for the output $Y$ is$\mathrm{A}+\mathrm{B}+\mathrm{C}$$\mathrm{A}$$\mathrm{B}$$\mathrm{C}$
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GATE ECE 1997 | Question 29
A uniform plane wave is normally incident from air on an infinitely thick magnetic material with relative permeability $100$ and relative permittivity $4$ see the figure is. The wave has an electric field of $1 \mathrm{V}$, meter $\text{(rms)}$. Find the average pointing vector inside the material.
A uniform plane wave is normally incident from air on an infinitely thick magnetic material with relative permeability $100$ and relative permittivity $4$ see the figure ...
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GATE ECE 2000 | Question 2.2
Use the data of the figure. The current $i$ in the circuit of the figure is $-2 \mathrm{~A}$ $2 \mathrm{~A}$ $-4 \mathrm{~A}$ $+4 \mathrm{~A}$
Use the data of the figure. The current $i$ in the circuit of the figure is$-2 \mathrm{~A}$$2 \mathrm{~A}$$-4 \mathrm{~A}$$+4 \mathrm{~A}$
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GATE ECE 1997 | Question 12
In the circuit shown in the figure is assume that the operational amplifier is ideal and that $\mathrm{V}_{\mathrm{o}}=0 \mathrm{~V}$ initially. The switch is connected first to ' $A$ ' charging $C_{1}$ to the voltage $V$. It is then connected to ... $\mathrm{V}=10 \; \mathrm{mV}$, what is the average rate of change of the output voltage?
In the circuit shown in the figure is assume that the operational amplifier is ideal and that $\mathrm{V}_{\mathrm{o}}=0 \mathrm{~V}$ initially. The switch is connected f...
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GATE ECE 1999 | Question 18
Input to a linear delta modulator is a sinusoidal signal whose frequency can vary from $200 \mathrm{~Hz}$ to $4000 \mathrm{~Hz}$. The input is sampled at eight times the Nyquist rate. The peak amplitude of the sinusoidal signal is $1$ volt. ... frequency is $200 \mathrm{~Hz}$ ? Is the modulator overlaoded when the input signal frequency is $4000 \mathrm{~Hz}$ ?
Input to a linear delta modulator is a sinusoidal signal whose frequency can vary from $200 \mathrm{~Hz}$ to $4000 \mathrm{~Hz}$. The input is sampled at eight times the ...
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GATE ECE 2000 | Question 1.24
If the diameter of a $\frac{\lambda}{2}$ dipole antenna is increased $\operatorname{from} \frac{\lambda}{100}$ to $\frac{\lambda}{50}$, then its bandwidth increases bandwidth decreases gain increases gain decreases
If the diameter of a $\frac{\lambda}{2}$ dipole antenna is increased $\operatorname{from} \frac{\lambda}{100}$ to $\frac{\lambda}{50}$, then itsbandwidth increasesbandwid...
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GATE ECE 2000 | Question 1.21
The magnitudes of the open-circuit and short-circuit input impedance of a transmission line are $100 \; \Omega$ and $25 \; \Omega$ respectively. The characteristic impedance of the line is, $25 \; \Omega$ $50 \; \Omega$ $75 \; \Omega$ $100 \; \Omega$
The magnitudes of the open-circuit and short-circuit input impedance of a transmission line are $100 \; \Omega$ and $25 \; \Omega$ respectively. The characteristic impeda...
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GATE ECE 2000 | Question 1.4
In the differential amplifer of the figure, if the source resistance of the current source $I_{E E}$ is infinite, then the common-mode gain is zero infinite indeterminate $\frac{\mathrm{V}_{m 1}+\mathrm{V}_{m 2}}{2 \mathrm{V}_{\mathrm{T}}}$
In the differential amplifer of the figure, if the source resistance of the current source $I_{E E}$ is infinite, then the common-mode gain iszeroinfiniteindeterminate$\f...
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GATE ECE 1997 | Question 20
An $8085 \; \mu \mathrm{P}$ uses a $2 \; \mathrm{MHz}$ ... used above take $(3 n+1)$ clock cycles, where $n$ is the number of accesses to the memory, inclusive of the opcode fetch.
An $8085 \; \mu \mathrm{P}$ uses a $2 \; \mathrm{MHz}$ crystal. Find the time taken by it to execute the following delay subroutine, inclusive of the call instruction in ...
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GATE ECE 2000 | Question 1.25
The circuit of the figure represents a low pass filter high pass filter band pass filter band reject filter
The circuit of the figure represents alow pass filterhigh pass filterband pass filterband reject filter
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GATE ECE 1997 | Question 18
An $n$-type silicon bar is doped uniformly by phosphorous atoms to a concentration $4.5 \times 10^{13} / \mathrm{cc}$. The bar has cross-section of $1 \mathrm{~mm}^{2}$ and length of $10 \mathrm{~cm}$. It is illuminated uniformly for region $x<0$ as shown in the figure ... $\qquad q=1.6 \times 10^{-19}$ coloumbs; $(k t / q)=26 \; \mathrm{mV}$.
An $n$-type silicon bar is doped uniformly by phosphorous atoms to a concentration $4.5 \times 10^{13} / \mathrm{cc}$. The bar has cross-section of $1 \mathrm{~mm}^{2}$ a...
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GATE ECE 1997 | Question 15
Given an $\text{NMOS}$ circuit as shown in the figure is The specifications of the circuit are $\mathrm{V}_{\mathrm{DD}}=10 \mathrm{~V} ; \beta=\mathrm{K}=\mu_{n} \mathrm{C}_{o x}(\mathrm{~W} / \mathrm{L})=10^{-4} \mathrm{Amp} / \mathrm{V}^{2}$ ... $V_{D S}$ and $R_{D}$ for the circuit. Neglect body-effect for $\mathrm{V}_{\mathrm{T}}$.
Given an $\text{NMOS}$ circuit as shown in the figure isThe specifications of the circuit are$\mathrm{V}_{\mathrm{DD}}=10 \mathrm{~V} ; \beta=\mathrm{K}=\mu_{n} \mathrm{C...
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GATE ECE 2000 | Question 1.15
An $8$ bit successive approximation analog to digital converter has full scale reading of $2.55 \mathrm{~V}$ and its conversion time for an analog input of $1 \mathrm{~V}$ is $20 \; \mu \mathrm{s}$. The conversion time for a $2 \mathrm{~V}$ input will be $10 \; \mu \mathrm{s}$ $20 \; \mu \mathrm{s}$ $40 \; \mu \mathrm{s}$ $50 \; \mu \mathrm{S}$
An $8$ bit successive approximation analog to digital converter has full scale reading of $2.55 \mathrm{~V}$ and its conversion time for an analog input of $1 \mathrm{~V}...
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GATE ECE 1997 | Question 9
$\mathrm{A} \frac{\lambda}{2}$ section of a $600 \; \Omega$ transmission line, short circuited at one end and open circuited at the other end, is shown in the figure is $100 \mathrm{~V} / 75 \; \Omega$ generator is connected at the mid point of the section as shown in the figure. Find voltage at the open circuited end of the line.
$\mathrm{A} \frac{\lambda}{2}$ section of a $600 \; \Omega$ transmission line, short circuited at one end and open circuited at the other end, is shown in the figure is $...
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GATE ECE 1997 | Question 21
In the figure is a linear time invariant discrete systme is shown. Blocks labelled $D$ represent unit delay elements. For $n<0$, you may assume that $x$ (n), $y_{1}(n), y_{2}(n)$ are all zero. Find the expression for $y_{1}(n)$ and $y_{2}(n)$ ... $y_{2}(n)$
In the figure is a linear time invariant discrete systme is shown. Blocks labelled $D$ represent unit delay elements. For $n<0$, you may assume that $x$ (n), $y_{1}(n), y...
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GATE ECE 1997 | Question 5.6
Negative feedback in (1) Voltage series configuration increase input impedance (2) Current shunt configuration decrease input impedance increases closed loop gain leads to oscillation
Negative feedback in(1) Voltage series configurationincrease input impedance(2) Current shunt configurationdecrease input impedanceincreases closed loop gainleads to osci...
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GATE ECE 1997 | Question 5.3
(1) An $8$-bit wide $5$ word sequential memory will have $8$ Fixed $\text{‘AND'}$ gates and $4$ programmable $\text{‘OR'}$ gates (2) A $256 \times 4$ $\text{EFROM}$ has Eight $4$ bit shift registers $4$ words of $32$ bits each $8$ address pins and $4$ data pins output
(1) An $8$-bit wide $5$ word sequential memory will have$8$ Fixed $\text{‘AND'}$ gates and $4$ programmable $\text{‘OR'}$ gates(2) A $256 \times 4$ $\text{EFROM}$ has...
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GATE ECE 1997 | Question 28
The figure is shows the first stage of a superheterodyne receiver. The desired input signal is at a frequency of $700 \; \mathrm{MHz}$. The local oscillator $\text{(L.O)}$ frequency is $1 \; \mathrm{GHz}$. The mixer is an ideal multiplier with a ... undesired signal should be $20 \mathrm{~dB}$ below the desired signal. Calculate the $Q$ required for the $\text{(BPF)}$.
The figure is shows the first stage of a superheterodyne receiver. The desired input signal is at a frequency of $700 \; \mathrm{MHz}$. The local oscillator $\text{(L.O)}...
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GATE ECE 1997 | Question 5.2
If the Fourier Transform of deterministic signal $\mathrm{g}(\mathrm{t})$ is $\mathrm{G}(f)$, then (1) The Fourier Transform of $g(t-2)$ is $G(f) e^{-j(4 \pi f)}$ (2) The Fourier Transform of $g(t / 2)$ is $G(2 f)$ $2 G(2 f)$ $G(f-2)$
If the Fourier Transform of deterministic signal $\mathrm{g}(\mathrm{t})$ is $\mathrm{G}(f)$, then(1) The Fourier Transform of $g(t-2)$ is$G(f) e^{-j(4 \pi f)}$(2) The Fo...
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GATE ECE 1997 | Question 7
Circuit shown in the figure is an $\text{NMOS}$ shift register. All transistors are $\text{NMOS}$ enhancement type with threshold voltage $V_{T}=1 \mathrm{~V}$. Supply used is $\mathrm{V}_{\mathrm{DD}}=5 \mathrm{~V}$ ... on capacitor $C_{2}$ after $\phi_{2}$ goes low. Neglect body-effect on $\mathrm{V}_{\mathrm{T}}$ in your evaluation.
Circuit shown in the figure is an $\text{NMOS}$ shift register. All transistors are $\text{NMOS}$ enhancement type with threshold voltage $V_{T}=1 \mathrm{~V}$. Supply us...
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GATE ECE 1997 | Question 5.5
While moving data between registers of the $8085$ and the stack (1) a $\text{PUSH}$ instruction Pre increments the stack pointer (2) a $\text{POP}$ instruction Post increments the stack pointer Pre decrements the stack pointer Post decrements the stack pointer
While moving data between registers of the $8085$ and the stack(1) a $\text{PUSH}$ instructionPre increments the stack pointer(2) a $\text{POP}$ instructionPost increment...
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