1
GATE CSE 2022
MCQ (Single Correct Answer)
+2
-0.67

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?

GATE CSE 2022 Digital Logic - Sequential Circuits Question 3 English

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
MCQ (Single Correct Answer)
+2
-0.67

Consider three floating point 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.

GATE CSE 2022 Digital Logic - Number Systems Question 6 English

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
MCQ (Single Correct Answer)
+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

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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