GATE ECE 2016 Set 3 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2016 Set 3

MCQ (Single Correct Answer)

-0.6

A second-order linear time-invariant system is described by the following state equations $$$\eqalign{& {d \over {dt}}{x_1}\left( t \right) + 2{x_1}\left( t \right) = 3u\left( t \right) \cr & {d \over {dt}}{x_2}\left( t \right) + {x_2}\left( t \right) = u\left( t \right) \cr} $$$

Where x₁(t), then the system is

controllable but not observable

observable but not controllable

both controllable and observable

neither controllable nor observable

GATE ECE 2016 Set 3

MCQ (Single Correct Answer)

-0.6

Following is the k-map of a Boolean function of five variable P, Q, R, S and X. The minimum for the function is GATE ECE 2016 Set 3 Digital Circuits - Boolean Algebra Question 10 English

GATE ECE 2016 Set 3 Digital Circuits - Boolean Algebra Question 10 English

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

$$\overline {Q\,} \,S\,\overline X \, + Q\,\overline S \,X$$

$$\overline {Q\,} S\,X + Q\,\overline S \,\overline X $$

$$\overline {Q\,} S\, + Q\,\overline S \,$$

GATE ECE 2016 Set 3

MCQ (Single Correct Answer)

-0.3

The minimum number of 2-input NAND gates required to implement a 2-input XOR gate is

GATE ECE 2016 Set 3

Numerical

-0

For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are 2 ns, 1.5 ns and 1 ns, respectively. If all the inputs P, Q, R, S and T are applied at the same time instant, the maximum propagation delay (in ns) of the circuit is ___________. GATE ECE 2016 Set 3 Digital Circuits - Combinational Circuits Question 20 English

GATE ECE 2016 Set 3 Digital Circuits - Combinational Circuits Question 20 English

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