1
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 18 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
$$f = {x_1} + x_2^1$$
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 16 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
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
Consider the following statements:
S1: The sum of two singular n x n matrices may be non-singular
S2: The sum of two n x n non-singular matrices may be singular

Which of the following statements is correct?

A
S1 and S2 are both true
B
S1 is true, S2 is false
C
S1 is false, S2 is true
D
S1 and S2 are both false