Recent questions tagged gate1992

Recent questions tagged gate1992

12 votes

2 answers

1

GATE CSE 1992 | Question: 07b
Consider the function $F(n)$ for which the pseudocode is given below : Function F(n) begin F1 ← 1 if(n=1) then F ← 3 else For i = 1 to n do begin C ← 0 For j = 1 to n – 1 do begin C ← C + 1 end F1 = F1 * C end F = F1 end [$n$ is a positive integer greater than zero] Solve the recurrence relation for a closed form solution of $F(n)$.

go_editor asked in Algorithms Apr 24, 2016

1.5k views

2 votes

1 answer

2

GATE CSE 1992 | Question: 10b
Show the activation records and the display structure just after the procedures called at lines marked $x$ and $y$ have started their execution. Be sure to indicate which of the two procedures named $A$ you are referring to. Program Test; Procedure A; Procedure B; Procedure A; begin …… end A; begin y: A; end B; begin B; end A; begin x: A; end Test

go_editor asked in Programming Apr 24, 2016

745 views

22 votes

2 answers

3

GATE CSE 1992 | Question: 11b
Write $3$ address intermediate code (quadruples) for the following boolean expression in the sequence as it would be generated by a compiler. Partial evaluation of boolean expressions is not permitted. Assume the usual rules of precedence of the operators.$(a+b) > (c+d) \text{ or } a > c \text{ and }b < d$

go_editor asked in Compiler Design Apr 24, 2016

2.0k views

39 votes

6 answers

4

GATE CSE 1992 | Question: 12-b
Let the page reference and the working set window be $c\ c\ d\ b\ c\ e\ c\ e\ a\ d\ $ and $4$, respectively. The initial working set at time $t=0$ contains the pages $\{a,d,e\}$, where $a$ ... at time $t=-2$. Determine the total number of page faults and the average number of page frames used by computing the working set at each reference.

go_editor asked in Operating System Apr 24, 2016

7.4k views

23 votes

2 answers

5

GATE CSE 1992 | Question: 13b
Suppose we have a database consisting of the following three relations: ... are liked by each customer. Express the following query in relational algebra: Print the hotels the serve the snack that customer Rama likes.

go_editor asked in Databases Apr 24, 2016

2.4k views

24 votes

3 answers

6

GATE CSE 1992 | Question: 14b
Consider the set of integers $\{1,2,3,4,6,8,12,24\}$ together with the two binary operations LCM (lowest common multiple) and GCD (greatest common divisor). Which of the following algebraic structures does this represent? group ring field lattice

go_editor asked in Set Theory & Algebra Apr 24, 2016

3.2k views

6 votes

2 answers

7

GATE CSE 1992 | Question: 15.b
Let $S$ be the set of all integers and let $n > 1$ be a fixed integer. Define for $a,b \in S, a R b$ iff $a-b$ is a multiple of $n$. Show that $R$ is an equivalence relation and find its equivalence classes for $n = 5$.

go_editor asked in Set Theory & Algebra Apr 24, 2016

2.1k views

4 votes

0 answers

8

Compiler Design - Parsing Techniques
Consider the SLR(1) and LALR(1) parsing tables for a context free grammar. Which of the following statements is/are true? a] The goto part of both tables may be different. b] The shift entries are identical in both the tables c] The reduce entries in the tables may be different d] The error entries in the tables may be different.

Cruise Device asked in Compiler Design Jan 15, 2016

by Cruise Device

5.8k views

1 vote

0 answers

9

GATE CSE 1992 | Question: 05,b
Three devices $A, B$ and $C$ are connected to the bus of a computer, input/output transfers for all three devices use interrupt control. Three interrupt request lines INTR$1,$ INTR$2$ and INTR$3$ are available with priority of INTR$1 >$ priority ... priority logic, using an interrupt mask register, in which Priority of $A$ > Priority of $B$ > Priority of $C.$

Arjun asked in CO and Architecture Dec 19, 2015

by Arjun

548 views

22 votes

4 answers

10

GATE1992-04-c
Design a $3$-bit counter using D-flip flops such that not more than one flip-flop changes state between any two consecutive states.

Arjun asked in Digital Logic Sep 22, 2015

by Arjun

2.2k views

24 votes

5 answers

11

GATE1992-04-b
A priority encoder accepts three input signals $\text{(A, B and C)}$ and produces a two-bit output $(X_1, X_0 )$ corresponding to the highest priority active input signal. Assume $A$ has the highest priority followed by $B$ and $C$ has the lowest ... none of the inputs are active the output should be $00$, design the priority encoder using $4:1$ multiplexers as the main components.

Arjun asked in Digital Logic Sep 22, 2015

by Arjun

4.5k views

29 votes

1 answer

12

GATE CSE 1992 | Question: 16
Which of the following three statements are true? Prove your answer. The union of two recursive languages is recursive. The language $\{O^n \mid n\text{ is a prime} \}$ is not regular. Regular languages are closed under infinite union.

Kathleen asked in Theory of Computation Sep 13, 2014

6.4k views

7 votes

1 answer

13

GATE CSE 1992 | Question: 15.a
Use Modus ponens $(A, A → B |= B)$ or resolution to show that the following set is inconsistent: $Q(x) \rightarrow P (x) \vee \sim R (a)$ $R (a) \vee \sim Q(a)$ $Q(a)$ $\sim P (y)$ where $x$ and $y$ are universally quantified variables, $a$ is a constant and $P, Q, R$ are monadic predicates.

Kathleen asked in Mathematical Logic Sep 13, 2014

1.9k views

30 votes

3 answers

14

GATE CSE 1992 | Question: 14a
If $G$ is a group of even order, then show that there exists an element $a≠e$, the identity in $G$, such that $a^2 = e$.

Kathleen asked in Set Theory & Algebra Sep 13, 2014

4.9k views

6 votes

1 answer

15

GATE CSE 1992 | Question: 13a
How is redundancy reduced in the following models? Hierarchical Network Relational

Kathleen asked in Databases Sep 13, 2014

749 views

10 votes

2 answers

16

GATE CSE 1992 | Question: 12-a
Draw the precedence graph for the concurrent program given below S1 parbegin begin S2:S4 end; begin S3; parbegin S5; begin S6:S8 end parend end; S7 parend; S9

Kathleen asked in Operating System Sep 13, 2014

2.4k views

13 votes

1 answer

17

GATE CSE 1992 | Question: 11a
Write syntax directed definitions (semantic rules) for the following grammar to add the type of each identifier to its entry in the symbol table during semantic analysis. Rewriting the grammar is not permitted and semantic rules are to be added to the ends of productions ... $T \rightarrow \text{int}$ $T \rightarrow \text{real}$ $L \rightarrow L,id$ $L \rightarrow id$

Kathleen asked in Compiler Design Sep 13, 2014

2.2k views

1 vote

1 answer

18

GATE CSE 1992 | Question: 10a
What type of parameter passing mechanism (call-by-value, call-by-reference, call-by-name, or-by-value result) is the following sequence of actions trying to implement for a procedure call $P (A[i])$ where P (i:integer) is a procedure and A is an integer array? Is the ... say z. Assign to z the value of A[i]. Execute the body of P using z for A[i] Set A[i] to z.

Kathleen asked in Programming Sep 13, 2014

703 views

26 votes

2 answers

19

GATE CSE 1992 | Question: 09
Suggest a data structure for representing a subset $S$ of integers from $1$ to $n$. Following operations on the set $S$ are to be performed in constant time (independent of cardinality of $S$ ... an English like language. You may assume that the data structure has been suitable initialized. Clearly state your assumptions regarding initialization.

Kathleen asked in DS Sep 13, 2014

2.5k views

13 votes

5 answers

20

GATE CSE 1992 | Question: 8
Let $T$ be a Depth First Tree of a undirected graph $G$. An array $P$ indexed by the vertices of $G$ is given. $P[V]$ is the parent of vertex $V$, in $T$. Parent of the root is the root itself. Give a method for finding ... to the length of the cycle. Describe the algorithm in a PASCAL $(C)$ - like language. Assume that the variables have been suitably declared.

Kathleen asked in Algorithms Sep 13, 2014

3.2k views

13 votes

4 answers

21

GATE CSE 1992 | Question: 07a
Consider the function $F(n)$ for which the pseudocode is given below : Function F(n) begin F1 ← 1 if(n=1) then F ← 3 else For i = 1 to n do begin C ← 0 For j = 1 to n – 1 do begin C ← C + 1 end F1 = F1 * C end F = F1 end [$n$ is a positive integer greater than zero] Derive a recurrence relation for $F(n)$.

Kathleen asked in Algorithms Sep 13, 2014

2.4k views

2 votes

0 answers

22

GATE CSE 1992 | Question: 06,a,b
A microprocessor is capable of addressing 1 megabyte of memory with a 20-bit address bus. The system to be designed requires 256 K bytes of RAM, 256 K bytes of EPROM, 16 I/O devices (memory mapped I/O) and 1 K byte of ... to two clock cycles for memory read and write. Assuming control signals similar to 8085, design the extra logic required for interfacing EERAM.

Kathleen asked in Digital Logic Sep 13, 2014

609 views

43 votes

4 answers

23

GATE CSE 1992 | Question: 5-a
The access times of the main memory and the Cache memory, in a computer system, are $500$ n sec and $50$ nsec, respectively. It is estimated that $80\%$ of the main memory request are for read the rest for write. The hit ratio for ... policy (where both main and cache memories are updated simultaneously) is used. Determine the average time of the main memory (in ns).

Kathleen asked in CO and Architecture Sep 13, 2014

18.4k views

13 votes

3 answers

24

GATE CSE 1992 | Question: 4-a
Consider addition in two's complement arithmetic. A carry from the most significant bit does not always correspond to an overflow. Explain what is the condition for overflow in two's complement arithmetic.

Kathleen asked in Digital Logic Sep 13, 2014

1.6k views

9 votes

2 answers

25

GATE CSE 1992 | Question: 03,v
Start and stop bits do not contain any "information" but are used in serial communication for Error detection Error correction Synchronization Slowing down the communications.

Kathleen asked in Computer Networks Sep 13, 2014

2.6k views

19 votes

2 answers

26

GATE CSE 1992 | Question: 03,iv
Assume that the last element of the set is used as partition element in Quicksort. If $n$ distinct elements from the set $\left[1\dots n\right]$ are to be sorted, give an input for which Quicksort takes maximum time.

Kathleen asked in Algorithms Sep 13, 2014

3.4k views

30 votes

3 answers

27

GATE CSE 1992 | Question: 03,iii
How many edges can there be in a forest with $p$ components having $n$ vertices in all?

Kathleen asked in Graph Theory Sep 13, 2014

4.4k views

14 votes

1 answer

28

GATE CSE 1992 | Question: 03,ii
Mention the pass number for each of the following activities that occur in a two pass assembler: object code generation literals added to literal table listing printed address resolution of local symbols

Kathleen asked in Compiler Design Sep 13, 2014

3.1k views

6 votes

1 answer

29

GATE CSE 1992 | Question: 3,i
Write short answers to the following: Which of the following macros can put a macro assembler into an infinite loop? .MACRO M1,X .IF EQ,X M1 X+1 .ENDC .IF NE,X .WORD X .ENDC .ENDM .MACRO M2,X .IF EQ,X M2 X .ENDC .IF NE,X .WORD X+1 .ENDC .ENDM Give an example call that does so.

Kathleen asked in Compiler Design Sep 13, 2014

1.3k views

25 votes

1 answer

30

GATE CSE 1992 | Question: 02,xx
In which of the cases stated below is the following statement true? "For every non-deterministic machine $M_{1}$ there exists an equivalent deterministic machine $M_{2}$ recognizing the same language". $M_{1}$ ... $M_{1}$ and $M_2$, the above statement true.

Kathleen asked in Theory of Computation Sep 13, 2014

6.3k views

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