P, Q, and  are the decimal integers corresponding to the 4-bit binary number 1100 considered in signed magnitude, 1's complement, and 2's complement representations, respectively. The 6-bit 2's complement representation of  is

In the circuit shown below, the Thevenin voltage  is

The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage  is a sine wave of amplitude 1V, the output voltage  is        [

The characteristic equation of a system is

In the root locus plot for the given system, as  varies from 0 to , the break-away or break-in point(s) lie within

The base of an npn BJT T1 has a linear doping profile  as shown below. The base of another npn BJT T2 has a uniform doping  of . All other parameters are identical for both the devices. Assuming that the hole density profile is the same as that of doping, the common-emitter current gain of T2 is

A 10-bit D/A converter is calibrated over the full range from 0 to . If the input to the  converter is  (in hex), the output (rounded off to three decimal places) is _________ V.

The loop transfer function of a negative feedback system is

The value of , for which the system is marginally stable, is________.

The general solution of  is

The two sides of a fair coin are labelled as 0 and 1. The coin is tossed two times independently. Let M and N denote the labels corresponding to the outcomes of those tosses. For a random variable X, defined as , the expected value  (rounded off to two decimal places) is ________

The output  of a discrete-time system for an input  is

The unit impulse response of the system is

 is a random variable with uniform probability density function in the interval . For , the conditional probability   (rounded off to three decimal places) is __________.

Which one of the following options contains two solutions of the differential equation  ?

In the given circuit, the two-port network has the impedance matrix . The value of  for which maximum power is transferred to the load is __________ .

For a 2-port network consisting of an ideal lossless transformer, the parameter  (rounded off to two decimal places) for a reference impedance of , is _______.

For the given circuit, which one of the following is the correct state equation?

Which one of the following pole-zero corresponds to the transfer function of an LTI system characterized by the input-output difference equation given below?

The figure below shows a multiplexer where  and  are the select lines.  to  are the input data lines,  is the enable line, and  is the output.  is

The transfer function of a stable discrete-time LTI system is . where  and  are real numbers. The value of  (rounded off to one decimal place) with , for which the magnitude response of the system is constant over all frequencies, is __________.

he band diagram of a -type semiconductor with a band-gap of  is shown. Using this semiconductor, a MOS capacitor having  of  of  and a metal work function of  is fabricated. There is no charge within the oxide. If the voltage across the capacitor is . the magnitude of depletion charge per unit area (in  ) is        

If  are six vectors in , which one of the following statements is False?

An enhancement MOSFET of threshold voltage 3  is being used in the sample and hold circuit given below. Assume that the substrate of the MOS device is connected to . If the input voltage  lies between . the minimum and the maximum values of  required for proper sampling and holding respectively, are        

Consider the following system of linear equation,        

Which one of the following conditions ensures that a solution exists for the above system?

Consider the following closed loop control system

where  and . If the steady state error for a unit ramp input is 0.1 , then the value of  is __________.

Using the incremental low frequency small-signal model of the MOS device, the Norton equivalent resistance of the following circuit is

For the components in the sequential circuit shown below, $\scriptstyle t_{pd}$ is the propagation delay, $\scriptstyle t_{setup}$ is the setup time, and $\scriptstyle t_{hold}$ is the hold time. The maximum clock frequency (rounded off to the nearest integer), at which the given circuit can operate reliably, is __________ MHz.

 is the Fourier transform of  shown below.        

The value of  (rounded off to two decimal places) is _________.

The impedances , for all  in the range , map to the Smith chart as

A transmission line of length  and having a characteristic impedance of  is terminated with a load of . The impedance (rounded off to two decimal places) seen at the input end of the transmission line is ________.

A one-sided abrupt pn junction diode has a depletion capacitance  of  at a reverse bias of . The plot of  versus the applied voltage  for this diode is a straight line as shown in the figure below. The slope of the plot is __________ .

A pn junction solar cell of area , illuminated uniformly with , has the following parameters: Efficiency , open circuit voltage , fill factor , and thickness , The charge of an electron is . The average optical generation rate (in ) is

In an 8085 microprocessor, the number of address lines required to access a  byte memory bank is _______.

In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steady-state output  (rounded off to two decimal places) is _________V.

A single crystal intrinsic semiconductor is at a temperature of  with effective density of states for holes twice that of electrons. The thermal voltage is . The intrinsic Fermi level is shifted from mid-bandgap energy level by

Consider the recombination process via bulk traps in a forward biased pn homojunction diode. The maximum recombination rate is . If the electron and the hole capture cross-section are equal, which one of the following is False?

The pole-zero map of a rational function  is shown below. When the closed contour  is mapped into the -plane, then the mapping encircles.

A finite duration discrete-time signal  is obtained by sampling the continuous-time signal  at sampling instants , . The 8 -point discrete Fourier transform (DFT) of  is defined as

Which one of the following statements is true?

A system with transfer function

is subjected an input . The steady state output of the system is .

The value of “a” is __________.

For an infinitesimally small dipole in free space, the electric field  in the far field is proportional to , where . A vertical infinitesimally small electric dipole  is placed at a distance  above an infinite ideal conducting plane, as shown in the figure. The minimum value of , for which one of the maxima in the far field radiation pattern occurs at . Is

The current in the RL-circuit shown below is .

The value of the inductor (rounded off to two decimal places) is _____H.         

The magnetic field of a uniform plane wave in vacuum is given by

The value of  is ________.

The current I in the given network is         

The state diagram of a sequence detector is shown below. State  is the initial state of the sequence detector. If the output is 1, then

For a vector field , which one of the following is False?

The partial derivative of the function

with respect to  at the point  is

For the solid S shown below, the value of is _________.

In the circuit shown below, all the components are ideal. If  is , the current  sourced by the op-amp is _______ .

The components in the circuit given below are ideal. If  and , the cut-off frequency of the circuit in Hz is        

For the BJT in the amplifier shown below. . Assume the BJT output resistance  is very high and the base current is negligible. The capacitors are also assumed to be short circuited at signal frequencies. The input  is direct coupled. The low frequency gain  of the amplifier is

The random variable

where

and  is a real white Gaussian noise process with two-sided power spectral density  , for all . The variance of  is _______.  

In the voltage regulator shown below,  is the unregulated at . Assume  and the base current is negligible for both the BJTs. If the regulated output  is , the value of  is ________ .

A binary random variable  takes the value +2 or -2. The probability . The value of  (rounded off to one decimal place), for which the entropy of  is maximum, is ________.

For the modulated signal  , the message signal  and the carrier frequency  is . The signal  is passed through a demodulator, as shown in the figure below. The output  of the demodulator is

 and  as defined below, are the phase modulated and the frequency modulated waveforms, respectively, corresponding to the message signal  shown in the figure.

and

where  is the phase deviation constant in radians/volt and  is the frequency deviation constant in radians/second/volt. If the highest instantaneous frequencies of  and  are same, then the value of the ratio  is __________ seconds.

A digital communication system transmits a block of  bits. The probability of error in decoding a bit is . The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous is

 In a digital communication system, a symbol  randomly chosen from the set  is transmitted. It is given that  and . The received symbol is  is a zero-mean unit-variance Gaussian random variable and is independent of . , is the conditional probability of symbol error for the maximum likelihood (ML) decoding when the transmitted symbol . The index  for which the conditional symbol error probability  is the highest is _______.