The Boolean function Y = AB + CD is to be realized using only 2 - input NAND gates. The minimum number of gates required is

**A. ** 2

**B. ** 3

**C. ** 4

**D. ** 5

**Answer : ****Option B**

**Explaination / Solution: **

This is SOP form and we require only 3 NAND gate

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For the circuit shown, the counter state (Q_{1}Q_{0}) follows the sequence

**A. ** 00,01,10,11,00

**B. ** 00,01,10,00,01

**C. ** 00,01,11,00,01

**D. ** 00,10,11,00,10

**Answer : ****Option A**

**Explaination / Solution: **

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In a transconductance amplifier, it is desirable to have

**A. ** a large input resistance and a large output resistance

**B. ** a large input resistance and a small output resistance

**C. ** a small input resistance and a large output resistance

**D. ** a small input resistance and a small output resistance

**Answer : ****Option A**

**Explaination / Solution: **

In the transconductance amplifier it is desirable to have large input resistance and large output resistance.

In the transconductance amplifier it is desirable to have large input resistance and large output resistance.

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In the Digital-to-Analog converter circuit shown in the figure below, VR = 1V and R = 1kΩ

**A. ** −0.781 V

**B. ** −1.562 V

**C. ** −3.125 V

**D. ** −6.250 V

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

The voltage V is

No Explaination.

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For the BJT circuit shown, assume that the β of the transistor is very large and V_{BE} = . V. The mode of operation of the BJT is

**A. ** cut-off

**B. ** saturation

**C. ** normal active

**D. ** reverse active

**Answer : ****Option B**

**Explaination / Solution: **

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A plane wave of wavelength λ is traveling in a direction making an angle 30^{0} with positive x − axis and 90^{0} with positive y − axis. The field of the plane
wave can be represented as (E is constant)

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option A**

**Explaination / Solution: **

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In the following scheme, if the spectrum M(f) of m(t) is as shown, then the spectrum Y(f) of y(t) will be

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The field in a rectangular waveguide of inner dimension a × b is given by **A. ** TE_{20}

**B. ** TM_{11}

**C. ** TM_{20}

**D. ** TE_{10}

**Answer : ****Option A**

**Explaination / Solution: **

Where H_{0} is a constant, and a and b are the dimensions along the x − axis and
the y − axis respectively. The mode of propagation in the waveguide is

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Two 4-array signal constellations are shown. It is given that φ_{1} and φ_{2} constitute
an orthonormal basis for the two constellation. Assume that the four symbols
in both the constellations are equiprobable. Let N_{0}/2 denote the power spectral
density of white Gaussian noise.

**A. ** 4a^{2}

**B. ** 4

**C. ** 2

**D. ** 8

**Answer : ****Option B**

**Explaination / Solution: **

The if ratio or the average energy of Constellation 1 to the average energy of
Constellation 2 is

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If the closed-loop transfer function of a control system is given as then It is

**A. ** an unstable system

**B. ** an uncontrollable system

**C. ** a minimum phase system

**D. ** a non-minimum phase system

**Answer : ****Option D**

**Explaination / Solution: **

In a minimum phase system, all the poles as well as zeros are on the left half of the s −plane. In given system as there is right half zero (s = 5), the system is a non-minimum phase system.

In a minimum phase system, all the poles as well as zeros are on the left half of the s −plane. In given system as there is right half zero (s = 5), the system is a non-minimum phase system.

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