GATE ECE 1990 | GATE ECE Year Wise Previous Years Questions

GATE ECE 1990

Subjective

+10

-0

A system is characterized by the following state-space equations: GATE ECE 1990 Control Systems - State Space Analysis Question 5 English

a) Find the transfer function of the system

b) Compute the state-transition matrix/p>

a) Solve the state equation for a unit-step input under zero initial conditions

GATE ECE 1990

MCQ (Single Correct Answer)

-0.3

The number of Boolean functions that can be generated by n variable is equal to:

2$$^n$$

$${2^2}^n$$

2$$^{n - 1}$$

2$$^{n + 1}$$

GATE ECE 1990

MCQ (Single Correct Answer)

-0.3

The minimum function that can detect a "divisible by 3" 8421 BCD code digit (representation is D₈ D₄ D₂ D₁) is given by:

$${D_8}\,{D_1}\, + {D_4}\,{D_2}\, + \,\overline {{D_8}} \,{D_2}\,{D_1}$$

$${D_8}\,{D_1}\, + {D_4}\,{D_2}\,\overline {{D_1}} \, + \,\overline {{D_4}} \,{D_2}{D_1} + \overline {{D_8}} \,\overline {{D_4}} \,\overline {{D_2}} \,\overline {{D_1}} \,$$

$${D_8}\,{D_1}\, + \,{D_4}\,{D_2}\, + \,\overline {{D_8}} \,\overline {{D_4}} \,\overline {{D_2}} \,\overline {{D_1}} \,$$

$${D_4}\,{D_2}\,\overline {{D_1}} \, + \,{D_4}\,{D_2}\,{D_1}\, + \,{D_8}\,\overline {{D_4}} \,{D_2}{D_1}$$

GATE ECE 1990

MCQ (Single Correct Answer)

-0.3

A 4 bit modulo-16 ripple counter uses JK flip-flops. If the propagation delay of each FF is 50ns, the maximum clock frequency that can be used is equal to:

20 MHz

10 MHz

5 MHz

4 MHz

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