1
GATE ECE 1999
MCQ (Single Correct Answer)
+2
-0.6
For the system described by the state equation $$$\mathop x\limits^ \bullet = \left[ {\matrix{ 0 & 1 & 0 \cr 0 & 0 & 1 \cr {0.5} & 1 & 2 \cr } } \right]x + \left[ {\matrix{ 0 \cr 0 \cr 1 \cr } } \right]u.$$$


If the control signal u is given by u=(-0.5-3-5)x+v, then the eigen values of the closed loop system will be

A
0, -1, -2
B
0, -1, -3
C
-1, -1, -2
D
0, -1, -1
2
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
Commercially available ECL gates use two ground lines and one negative supply in order to
A
reduce power dissipation
B
increase fan-out
C
reduce loading effect
D
eliminate the effect of power line glitches or the biasing circuit.
3
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
The resolution of a 4-bit counting ADC is 0.5 Volts. For an analog input of 6.6 Volts, the digital output of the ADC will be
A
1011
B
1101
C
1100
D
1110
4
GATE ECE 1999
Subjective
+5
-0
The circuit diagram of a synchronous counter is shown in the figure. Determine the sequence of states of the counter assuming that the initial state is ‘000’. Give your answer in a tabulor form showing the present state QA(n), QB(n), QC(n), J-K inputs ( JA, KA, JB, KB, JC, K,) and the next state $${Q_{A\left( {n + 1} \right)}},\,{Q_{B\left( {n + 1} \right)}},{Q_{C\left( {n + 1} \right)}}$$ From the table, determine the modulus of the counter.