GATE ECE 2005 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

A linear system is equivalently represented by two sets of state equations. $$\mathop x\limits^ \bullet = \,\,{\rm A}X\,\, + BU$$ and $$\mathop W\limits^ \bullet = \,\,CW\,\, + DU.$$ The eigen values of the representations are also computed as $$\left[ \lambda \right]\,\,\,\,and\,\,\,\,\left[ \mu \right].$$ Which one of the following statements is true?

$$\left[ \lambda \right]\, = \,\left[ \mu \right]\,\,and\,X\, = W$$

$$\left[ \lambda \right]\, = \,\left[ \mu \right]\,\,and\,X\, \ne W$$

$$\left[ \lambda \right]\, \ne \,\left[ \mu \right]\,\,and\,X\, = W$$

$$\left[ \lambda \right]\, \ne \,\left[ \mu \right]\,\,and\,X\, \ne W$$

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

Decimal 43 in Hexadecimal and BCD number system is respectively

B2, 0100 0011

2B, 0100 0011

2B, 0011 0100

B2, 0100 0100

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

The Boolean expression for the truth table shown is

A	B	C	D
0	0	0	0
0	0	1	0
0	1	0	0
0	1	1	1
1	0	0	0
1	0	1	0
1	1	0	1
1	1	1	0

B(A+C)($$\overline A + \overline C )$$

$$B\left( {A + \overline C } \right)\left( {\overline A + C} \right)$$

$$\overline B $$(A+$$\overline C $$)($$\overline A $$+C)

$$\overline B $$(A+C)(($$\overline A + \overline C )$$

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

The Boolean function f implemented in the figure using two input multiplexers is GATE ECE 2005 Digital Circuits - Combinational Circuits Question 6 English

GATE ECE 2005 Digital Circuits - Combinational Circuits Question 6 English

$$A\overline B C\, + \,AB\overline C $$

$$ABC\, + \,A\overline B \overline C $$

$$\overline A BC\, + \,\overline A \overline B \overline C $$

$$\overline {AB} C\, + \,\overline A B\overline C $$

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