GATE ECE 2004 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

The state variable equations of a system are: $$${\mathop {{x_1} = - 3{x_1} - x}\limits^ \bullet _2} + u$$$ $$${\mathop x\limits^ \bullet _2} = 2{x_1}$$$ $$$y = {x_1} + u.$$$
The system is

controllable but not observable.

observable but not controllable.

neither controllable nor observable.

controllable and observable.

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

Consider the Bode magnitude plot shown in figure. The transfer function H(s) is GATE ECE 2004 Control Systems - Frequency Response Analysis Question 39 English

GATE ECE 2004 Control Systems - Frequency Response Analysis Question 39 English

$${{\left( {s + 10} \right)} \over {\left( {s + 1} \right)\left( {s + 100} \right)}}$$

$${{10\left( {s + 1} \right)} \over {\left( {s + 10} \right)\left( {s + 100} \right)}}$$

$${{{{10}^2}\left( {s + 1} \right)} \over {\left( {s + 10} \right)\left( {s + 100} \right)}}$$

$${{{{10}^3}\left( {s + 100} \right)} \over {\left( {s + 1} \right)\left( {s + 10} \right)}}$$

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

In the modulo-6 ripple counter shown in the figure, the output of the 2-input gate is used to clear the J-K flip-flops. The 2-input gate is GATE ECE 2004 Digital Circuits - Sequential Circuits Question 49 English

GATE ECE 2004 Digital Circuits - Sequential Circuits Question 49 English

a NAND gate

a NOR gate

an OR gate

an AND gate

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

11001, 1001 and 111001 correspond to the 2’s complement representation of which one of the following sets of number?

25, 9 and 57 respectively

-6, -6 and –6 respectively

-7, -7 and –7 respectively

-25, -9 and –57 respectively

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