1
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
Consider the following circuit with initial state $${Q_0} = {Q_1} = 0.$$ The $$D$$ Flip-Flops are positive edge triggered and have set up times $$20$$ nanosecond and hold times $$0.$$ GATE CSE 2001 Digital Logic - Sequential Circuits Question 16 English 1

Consider the following timing diagram of $$X$$ and $$C;$$ the clock period of $$C>40$$ nanosecond which one is the correct plot of $$Y?$$

GATE CSE 2001 Digital Logic - Sequential Circuits Question 16 English 2
A
GATE CSE 2001 Digital Logic - Sequential Circuits Question 16 English Option 1
B
GATE CSE 2001 Digital Logic - Sequential Circuits Question 16 English Option 2
C
GATE CSE 2001 Digital Logic - Sequential Circuits Question 16 English Option 3
D
GATE CSE 2001 Digital Logic - Sequential Circuits Question 16 English Option 4
2
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
Consider the circuit shown below. The output of a $$2:1$$ Mux is given by the function $$(ac+bc)$$ GATE CSE 2001 Digital Logic - Combinational Circuits Question 16 English

Which of the following is true?

A
$$f = x_1^1 + {x_2}$$
B
$$f = x_1^{\,1} + {x_2} + {x_1}x_2^{\,1}$$
C
$$f = {x_1}{x_2} + {x_1}^1{x_2}^1$$
D
$$f = {x_1} + x_2^1$$
3
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
The $$2's$$ complement representation of $${\left( { - 539} \right)_{10}}$$ in hexadecimal is
A
$$ABE$$
B
$$DBC$$
C
$$DE5$$
D
$$9E7$$
4
GATE CSE 2001
MCQ (Single Correct Answer)
+1
-0.3
Given the following Karnaugh map, which one of the following represents the minimal Sum-Of-Products of the map? GATE CSE 2001 Digital Logic - K Maps Question 12 English
A
$$xy + y'z$$
B
$$wx'y' + xy + xz$$
C
$$w'x + y'z + xy$$
D
$$xz+y$$
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