GATE ECE 2017 Set 2 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2017 Set 2

MCQ (Single Correct Answer)

-0.6

A second order LTI system is described by the following state equation. $$$\eqalign{ & {d \over {dt}}{x_1}\left( t \right) - {x_2}\left( t \right) = 0 \cr & {d \over {dt}}{x_2}\left( t \right) + 2{x_1}\left( t \right) + 3{x_2}\left( t \right) = r\left( t \right) \cr} $$$

When x₁(t) and x₂(t) are the two state variables and r(t) denotes the input. The output c(t)=X₁(t). The systyem is

undamped (oscillatory)

under damped

critically damped

over damped

GATE ECE 2017 Set 2

MCQ (Single Correct Answer)

-0.3

In a DRAM,

periodic refreshing is not required

information is stored in a capacitor

information is stored in a latch

both read and write operations can be performed simultaneously

GATE ECE 2017 Set 2

MCQ (Single Correct Answer)

-0.6

A programmable logic array (PLA) is shown in the figure. GATE ECE 2017 Set 2 Digital Circuits - Combinational Circuits Question 23 English

The Boolean function F implemented is

$$\overline P \,\overline {Q\,} R + \overline P QR + P\overline {Q\,} \overline R $$

$$(\overline P \, + \overline {Q\,} + \,R)(\overline P \, + Q + R) + (P + \overline P \, + \overline R )$$

$$\overline P \,\overline {Q\,} R + \overline P QR + P\overline {Q\,} \,\overline R $$

$$(\overline P + \,\overline {Q\,} \, + R)(\overline P + Q + R) + (P + \overline {Q\,} + R)$$

GATE ECE 2017 Set 2

MCQ (Single Correct Answer)

-0.3

Consider the circuit shown in the figure. GATE ECE 2017 Set 2 Digital Circuits - Combinational Circuits Question 41 English

The Boolean expression F implemented by the circuit is

$$\overline X \,\overline Y \,\overline Z + XY + \,\overline Y \,Z$$

$$\overline X \,Y\,\overline Z + XZ + \,\overline Y \,Z$$

$$\overline X \,Y\,\overline Z + XY + \,\overline Y \,Z$$

$$\overline X \,\overline Y \,\overline Z + XZ + \,\overline Y \,Z$$

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