In the logic circuit shown in the figure, $ Y $ is given by
The op-amp shown in the figure is ideal. The input impedance $ \style{font-family:'Times New Roman'}{\frac{v_{in}}{i_{in}}} $ is given by
Which one of the following statements is true about the digital circuit shown in the figure
Digital input signals $ A,B,C $ with $ A $ as the MSB and $ C $ as the LSB are used to realize the Boolean function $ f=m_0+m_2+m_3+m_5+m_7 $ where $ m_i $ denotes the $ i^{th} $ minterm. In addition, $ F $ has a don’t care for $ m_1 $. The simplified expression for $ F $ is given by
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $ B=100 $. The base-emitter voltage drop is a constant, $ V_{BE}=0.7V. $ The value of the Thevenin equivalent resistance $ R_{Th} $ (in $ \Omega $) as shown in the figure is ______ (up to 2 decimal places).
The Boolean expression $AB+A\overline{)C}+BC$ simplifies to
For the circuit shown in the figure below, assume that diodes D_{1}, D_{2} and D_{3} are ideal.
The DC components of voltages v_{1} and v_{2}, respectively are
The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be
The output expression for the Karnaugh map shown below is
The logical gate implemented using then circuit shown below where, $ V_1 $ and $ V_2 $ are inputs (with $ 0\;V $ as digital $ 0 $ and $ 5\;V $ as digital 1) and $ V_{OUT} $ is the output, is
The circuit shown in the figure uses matched transistors with a thermal voltage V_{T} = 25 mV. The base currents of the transistors are negligible. The value of the resistance R in $ k\;\Omega $ that is required to provide 1 µA bias current for the differential amplifier block shown is ___________ . (Give the answer up to one decimal place.)
For a 3-input logic circuit shown below, the output $ Z $ can be expressed as
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}V$. The transistor has $\beta=29$ and V_{BE}=0.7 V when the B-E junction is forward biased
For this circuit, the value of $\frac{R_B}R$ is
For the circuit shown below, assume that the OPAMP is ideal.
Which one of the following is TRUE?
In the circuit shown in the figure, the diode used is ideal. The input power factor is__________.(Give the answer up to two decimal places.)
For the synchronous sequential circuit shown below, the output Z is zero for the initial conditions Q_{A}Q_{B}Q_{C}=Q’_{A}Q’_{B}Q’_{C}=100.
The minimum number of clock cycles after which the output Z would again become zero is__________
The circuit shown below is an example of a
The Boolean expression $\overline{\left(a+\overline b+c+\overline d\right)+\left(b+\overline c\right)}$ simplifies to
Of the four characteristic given below, which are the major requirements for an instrumentation amplifier? P. High common mode rejection ratio Q. High input impedance R. High linearity S. High output impedance
Consider the circuit shown in the figure,. In this circuit R = 1 k$\mathrm{\Omega}$, and C=1 $\mathrm{\mu}$F. The input voltage is sinusoidal with a frequency of 50 Hz, represented as phasor with magnitude ${V}_{\mathit{i}}$ and phase angle 0 radian as shown in the figure. The output voltage is represented as a phasor with magnitude ${V}_{0}$ and phase angle δ radian. What is the value of the output phase angle δ (in radian) relative to the phase angle of the input voltage?
In the given circuit, the silicon transistor has $\beta =75$and $a$ collector voltage ${V}_{c}=9\mathrm{V\; .}$ Then the ratio of ${R}_{B}$ and ${R}_{C}$ is _______.
In the $4\times1$ multiplexer, the output F is given by $\mathrm F=\mathrm A\oplus\mathrm B\;.$ Find the required input '${I}_{3}{I}_{2}{I}_{1}{I}_{0}\text{'}.$
The figure shows a digital circuit constructed using negative edge triggered J-K flip flops. Assume a starting state of ${\mathrm{Q}}_{2}{\mathrm{Q}}_{1}{\mathrm{Q}}_{0}=000$. This state ${\mathrm{Q}}_{2}{\mathrm{Q}}_{1}{\mathrm{Q}}_{0}=000$ will repeat after ________ number of cycles of the clock CLK.
$f\left(A,,B,C,D\right)=\prod M\left(0,1,3,4,5,7,9,11,12,13,14,15\right)$ is a maxterm representation of a Boolean function $f\left(A,\;,B,\;C,\;D\right)$ where $A$ is the MSB and $D$ is the LSB. The equivalent minimized representation of this function is
The op-amp shown in the figure has a finite gain A = 1000 and an infinite input resistance. A step-voltage ${V}_{i}$= 1 mV is applied at the input at time t = 0 as shown. Assuming that the operational amplifier is not saturated, the time constant (in millisecond) of the output voltage ${V}_{0}$ is
An 8 bit unipolar Successive Approximation Register type ADC is used to convert 3.5 V to digital equivalent output. The reference voltage is +5 V. The output of ADC at end of 3rd clock pulse after the start of conversion is ________.
The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is ${V}_{1}=2\mathrm{sin}\left(2\mathrm{\pi}\times 2000\mathrm{t}\right)$. The amplitude of the output voltage ${V}_{0}$ (in Volt) is ________.
In the following circuit, the transistor is in active mode and $ V_C=2\;V $. To get $ V_C=4\;V $, we replace ${R}_{c}$ with $ R'_C $ . Then the ratio $ R'_C/R_C $ is _________.
Consider the following Sum of Products expression,,F.
$F=ABC+\overline{A}\overline{B}C+A\overline{)B}C+\overline{A}BC+\overline{A}\overline{B}\overline{C}$
The equivalent Product of Sums expression is
The filters F1 and F2 having characteristics as shown in Figures (a) and (b) are connected as shown in Figure (c).
The cut-off frequencies of F1 and F2 are ${f}_{1}$ and ${f}_{2}$ respectively. If ${f}_{1}$< ${f}_{2}$, the resultant circuit exhibits the characteristics of a
When a bipolar junction transistor is operating in the saturation mode, which one of the following statement is TRUE about the state of its collector-base (CB) and the baseemitter (BE) junctions?
In the following sequential circuit, the initial state (before the first clock pulse ) of the circuit is ${Q}_{1}{Q}_{0}$= 00. The state (${Q}_{1}{Q}_{0}$), immediately after the ${333}^{\mathrm{rd}}$ clock pulse is
A Boolean funcation $ f\left(A,\;B,\;C,\;D\right)= $ $\mathrm{\Pi}$(1, 5, 12, 15) is to be implemented using an 8$\times $1 multiplexer (A is MSB). The inputs ABC are connected to the select inputs ${S}_{2}{S}_{1}{S}_{0}$ of the multiplexer respectively.
Which one of the following options gives the correct inputs to pins 0,1,2,3,4,5,6,7 in order?
The saturation voltage of the ideal op-amp shown below is ±10 V. The output voltage ${v}_{0}$ of the following circuit in the steady-state is
A cascade of three identical modulo-5 counters has an overall modulus of
In the Wien Bridge oscillator circuit shown in figure, the bridge is balanced when
The magnitude of the mid-band voltage gain of the circuit shown in figure is (assuming ${h}_{fe}$ of the transistor to be 100)
Given that the op-amps in the figure are ideal, the output voltage V_{0} is
Which of the following logic circuits is a realization of the function F whose Karnaugh map is shown in figure
In the figure shown, assume the op-amp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function $\frac{{V}_{0}\left(\omega \right)}{{V}_{i}\left(\omega \right)}$ ?
An output device is interfaced with 8-bit microprocessor 8085A. The interfacing circuit is shown in figure
The interfacing circuit makes use of 3 Line to 8 Line decoder having 3 enable lines ${\mathrm{E}}_{1}$ , ${\overline{\mathrm{E}}}_{2}$ , ${\overline{\mathrm{E}}}_{3}$ . The address of the device is
Which of the following is an invalid state in an 8-4-2-1 Binary Coded Decimal counter
The transistor in the given circuit should always be in active region. Take V_{CE(sat)} =0.2 V, V_{BE} =0.7 V. The maximum value of R_{C} in Ω which can be used, is ______________.
The sinusoidal ac source in the figure has an rms value of $\frac{20}{\sqrt{2}}$ V. Considering all possible values of R_{L}, the minimum value of R_{S} in Ω to avoid burnout of the Zener diode is _________.
Assuming the diodes to be ideal in the figure, for the output to be clipped, the input voltage v_{i} must be outside the range