1
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67

Consider the following grammar (that admits a series of declarations, followed by expressions) and the associated syntax directed translation (SDT) actions, given as pseudo-code:

P → D* E*

D → int ID {record that ID.lexeme is of type int}

D → bool ID { record that ID.lexeme is of type bool}

E → E1 + E2 {check that E1.type = E2.type = int; set E.type := int}

E → !E1 {check that E1.type = bool; set E.type := bool}

E → ID {set E.type := int}

With respect to the above grammar; which one of the following choices is correct?

A
The actions will lead to infinite loop.
B
The actions can be used to correctly type-check any syntactically correct program.
C
The actions can be used to type-check syntactically correct boolean variable declarations and boolean expressions.
D
The actions can be used to type-check syntactically correct integer variable declarations and integer expressions.
2
GATE CSE 2021 Set 1
Numerical
+2
-0.67

Consider the following C code segment:

a = b + c;

e = a + 1;

d = b + c;

f = d + 1;

g = e + f;

In a compiler, this code segment is represented internally as a directed acyclic graph (DAG). The number of nodes of nodes in the DAG is ______

Your input ____
3
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67

Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d8d7d6d5c8d4d3d2c4d1c2c1, where the data bits and the check bits are given in the following tables:

Data bits

d8

d7

d6

d5

d4

d3

d2

d1

1

1

0

x

0

1

0

1

 

c8

c4

c2

c1

Y

0

1

0


Which one of the following choices gives the correct values of x and y?
A
x is 1 and y is 0.
B
x is 1 and y is 1.
C
x is 0 and y is 1.
D
x is 0 and y is 0.
4
GATE CSE 2021 Set 1
MCQ (More than One Correct Answer)
+2
-0.67

Consider two hosts P and Q connected through a router R. The maximum transfer unit (MTU) value of the link between P and R is 1500 bytes, and between R and Q is 820 bytes.

A TCP segment of size 1400 bytes was transferred from P to Q through R, with IP identification value as 0 × 1234. Assume that the IP header size is 20 bytes. Further, the packet is allowed to be fragmented i. e, Don't Fragment (DF) flag in the IP header is not set by P.

Which of the following statements is/are correct?

A
TCP destination port can be determined by analysing only the second fragement.
B
If the second fragment is lost, P is required to resend the whole TCP segment.
C
Two fragments are created at R and the IP datagram size carrying the second fragment is 620 bytes.
D
If the second fragment is lost, R will resend the fragment with the IP identification value 0 × 1234.
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