1
GATE CSE 2022
+1
-0.33

Consider a digital display system (DDS) shown in the figure that displays the contents of register X. A 16-bit code word is used to load a word in X, either from S or from R. S is a 1024-word memory segment and R is a 32-word register file. Based on the value of mode bit M, T selects an input word to load in X. P and Q interface with the corresponding bits in the code word to choose the addressed word. Which one of the following represents the functionality of P, Q, and T?

A
P is 10 : 1 multiplexer; Q is 5 : 1 multiplexer; T is 2 : 1 multiplexer
B
P is 10 : 210 decoder; Q is 5 : 25 decoder; T is 2 : 1 encoder
C
P is 10 : 210 decoder; Q is 5 : 25 decoder; T is 2 : 1 multiplexer
D
P is 1 : 10 de-multiplexer; Q is 1 : 5 de-multiplexer; T is 2 : 1 multiplexer
2
GATE CSE 2022
+1
-0.33

Consider three floating points numbers A, B and C stored in registers RA, RB and RC, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows.

Which one of the following is FALSE?

A
A + C = 0
B
C = A + B
C
B = 3C
D
(B $$-$$ C) > 0
3
GATE CSE 2022
+1
-0.33

Consider the following two statements with respect to the matrices Am $$\times$$ n , Bn $$\times$$ m , Cn$$\times$$ n and Dn $$\times$$ n .

Statement 1 : tr(AB) = tr(BA)

Statement 2 : tr(CD) = tr(DC)

where tr( ) represents the trace of a matrix. Which one of the following holds?

A
Statement 1 is correct and Statement 2 is wrong.
B
Statement 1 is wrong and Statement 2 is correct.
C
Both Statement 1 and Statement 2 are correct.
D
Both Statement 1 and Statement 2 are wrong.
4
GATE CSE 2022
MCQ (More than One Correct Answer)
+1
-0.33

Which of the following statements is/are TRUE for a group G?

A
If for all x, y $$\in$$ G, (xy)2 = x2y2, then G is commutative.
B
If for all X $$\in$$ G, x2 = 1, then G is commutative. Here, 1 is the identity element of G.
C
If the order of G is 2, then G is commutative.
D
If G is commutative, then a subgroup of G need not be commutative.
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