1
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
$$9E7$$
2
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
$$xz+y$$
3
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 13 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
$$f = {x_1} + x_2^1$$
4
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
Consider the circuit given below with initial state $${Q_0} = 1,\,\,{Q_1} = {Q_2} = 0.$$ The state of the circuit is given by the value of $$4{Q_2} + 2{Q_1} + {Q_{0.}}$$ GATE CSE 2001 Digital Logic - Sequential Circuits Question 20 English

Which one of the following is correct state sequence of the circuit?

A
$$1,3,4,6,7,5,2$$
B
$$1, 2, 5, 3, 7, 6, 4$$
C
$$1, 2, 7, 3, 5, 6, 4$$
D
$$1, 6, 5, 7, 2, 3, 4$$
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