Recent questions tagged gate1996

4 votes

1 answer

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GATE CSE 1996 | Question: 24-b
Consider the synchronous sequential circuit in the below figure Given that the initial state of the circuit is $S_4,$ identify the set of states, which are not reachable.

jothee asked in Digital Logic Feb 10, 2018

by jothee

1.3k views

28 votes

2 answers

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GATE CSE 1996 | Question: 27
A library relational database system uses the following schema USERS (User#, User Name, Home Town) BOOKS (Book#, Book Title, Author Name) ISSUED (Book#, User#, Date) Explain in one English sentence, what each of the following relational algebra queries is ...

Kathleen asked in Databases Oct 10, 2014

3.4k views

30 votes

3 answers

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GATE CSE 1996 | Question: 26
A computer system has a three-level memory hierarchy, with access time and hit ratios as shown below: $\overset{ \text {Level $1$ (Cache memory)} \\ \text{Access time = $ ... of less than $100 nsec$? What is the average access time achieved using the chosen sizes of level $1$ and level $2$ memories?

Kathleen asked in CO and Architecture Oct 10, 2014

9.5k views

30 votes

4 answers

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GATE CSE 1996 | Question: 25
A hard disk is connected to a $50$ MHz processor through a DMA controller. Assume that the initial set-up of a DMA transfer takes $1000$ clock cycles for the processor, and assume that the handling of the interrupt at DMA completion requires $500$ ... What fraction of the processor time is consumed by the disk, if the disk is actively transferring $100\%$ of the time?

Kathleen asked in CO and Architecture Oct 10, 2014

6.6k views

15 votes

2 answers

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GATE CSE 1996 | Question: 24-a
Consider the synchronous sequential circuit in the below figure Draw a state diagram, which is implemented by the circuit. Use the following names for the states corresponding to the values of flip-flops as given below. ... $} \\\hline \end{array}$

Kathleen asked in Digital Logic Oct 10, 2014

3.9k views

34 votes

2 answers

6

GATE CSE 1996 | Question: 23
A file system with a one-level directory structure is implemented on a disk with disk block size of $4K$ ... What is the maximum possible number of files? What is the maximum possible file size in blocks

Kathleen asked in Operating System Oct 10, 2014

6.3k views

19 votes

3 answers

7

GATE CSE 1996 | Question: 22
A computer system uses the Banker's Algorithm to deal with deadlocks. Its current state is shown in the table below, where $P0$, $P1$, $P2$ are processes, and $R0$, $R1$, $R2$ ... the system can be in this state What will the system do on a request by process $P0$ for one unit of resource type $R1$?

Kathleen asked in Operating System Oct 10, 2014

5.1k views

32 votes

1 answer

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GATE CSE 1996 | Question: 21
The concurrent programming constructs fork and join are as below: Fork <label> which creates a new process executing from the specified label Join <variable> which decrements the specified synchronization variable (by $1$) and terminates the process if the new value is not $0$. Show ... $N$ $S3$ $L2$ : join $M$ $S5$ $L3:S2$ Goto $L1$ $L4:S4$ Goto $L2$ Next:

Kathleen asked in Operating System Oct 10, 2014

4.1k views

16 votes

2 answers

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GATE CSE 1996 | Question: 20
Consider the syntax-directed translation schema (SDTS) shown below: $E\rightarrow E + E$ {print + } $E\rightarrow E * E$ {print . } $E\rightarrow id$ {print id.name} $E\rightarrow (E)$ An LR-parser executes the actions associated with ... corresponding production. Draw the parse tree and write the translation for the sentence. $(a+b)*(c+d)$, using SDTS given above.

Kathleen asked in Compiler Design Oct 10, 2014

2.2k views

3 votes

1 answer

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GATE CSE 1996 | Question: 19
Consider the following program in pseudo-Pascal syntax. What is printed by the program if parameter $a$ in procedure $\text{test1}$ is passed as call-by-reference parameter call-by-value-result parameter program Example (input, output) var b: integer; procedure test2: begin b:=10; ... 'point 2: ', a, b); end begin (*Example*) b:=3; test1(b); writeln('point3: ', b); end

Kathleen asked in Programming Oct 10, 2014

928 views

18 votes

2 answers

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GATE CSE 1996 | Question: 18
Consider the following program that attempts to locate an element $x$ in an array $a[ ]$ using binary search. Assume $N > 1$. The program is erroneous. Under what conditions does the program fail? var i,j,k: integer; x: integer; a: array; [1..N] of integer; begin i ... ;= j); if (a[k] = x) then writeln ('x is in the array') else writeln ('x is not in the array') end;

Kathleen asked in Algorithms Oct 10, 2014

2k views

20 votes

6 answers

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GATE CSE 1996 | Question: 17
Let $G$ be the directed, weighted graph shown in below figure We are interested in the shortest paths from $A$. Output the sequence of vertices identified by the Dijkstra's algorithm for single source shortest path when the algorithm is started at node $A$ Write down ... vertices in the shortest path from $A$ to $E$ What is the cost of the shortest path from $A$ to $E$?

Kathleen asked in Algorithms Oct 10, 2014

4.6k views

19 votes

1 answer

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GATE CSE 1996 | Question: 16
A complete, undirected, weighted graph $G$ is given on the vertex $\{0, 1,\dots, n -1\}$ for any fixed ‘n’. Draw the minimum spanning tree of $G$ if the weight of the edge $(u, v)$ is $\mid u-v\mid$ the weight of the edge $(u, v)$ is $u + v$

Kathleen asked in Algorithms Oct 10, 2014

3.5k views

19 votes

4 answers

14

GATE CSE 1996 | Question: 15
Insert the characters of the string $K \ R \ P \ C \ S \ N \ Y \ T \ J \ M$ into a hash table of size $10$. Use the hash function $h(x)=( ord (x) – ord (“a”) + 1) \mod 10$ and linear probing to resolve collisions. Which insertions cause collisions? Display the final hash table.

Kathleen asked in DS Oct 10, 2014

4.1k views

29 votes

2 answers

15

GATE CSE 1996 | Question: 14
A two dimensional array $A[1..n][1..n]$ of integers is partially sorted if $\forall i, j\in [1..n-1], A[i][j] < A[i][j+1] \text{ and } A[i][j] < A[i+1][j]$ The smallest item in the array is at $A[i][j]$ where $i=\_\_$ and $j=\_\_$. The smallest ... if A[i+1][j] < A[i][j] ___ then begin A[i][j]:=A[i+1][j]; i:=i+1; end else begin _____ end A[i][j]:= ____ end

Kathleen asked in Algorithms Oct 10, 2014

3.6k views

13 votes

2 answers

16

GATE CSE 1996 | Question: 13
Let $Q=\left( \left\{q_1,q_2 \right\}, \left\{a,b\right \}, \left\{a,b,\bot \right\}, \delta, \bot, \phi \right)$ ... $\delta(q_2,b,b) = \left\{(q_2, \epsilon)\right\}$ $\delta(q_2,\epsilon,\bot) = \left\{(q_2, \epsilon)\right\}$

Kathleen asked in Theory of Computation Oct 10, 2014

3.5k views

33 votes

1 answer

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GATE CSE 1996 | Question: 12
Given below are the transition diagrams for two finite state machines $M_1$ and $M_2$ recognizing languages $L_1$ and $L_2$ respectively. Display the transition diagram for a machine that recognizes $L_1.L_2$, obtained from transition diagrams for $M_1$ ... $\varepsilon$ transitions and no new states. (Final states are enclosed in double circles).

Kathleen asked in Theory of Computation Oct 10, 2014

4.5k views

31 votes

5 answers

18

GATE CSE 1996 | Question: 11
Let $G$ be a context-free grammar where $G=(\{S, A, B, C\}, \{a, b, d\}, P, S)$ with the productions in $P$ given below. $S \rightarrow ABAC$ $A \rightarrow aA \mid \varepsilon$ $B \rightarrow bB \mid \varepsilon$ ... $\varepsilon$ productions and no unit productions. (A unit production is of the form $x \rightarrow y$, and $x$ and $y$ are non terminals).

Kathleen asked in Compiler Design Oct 10, 2014

4.8k views

12 votes

4 answers

19

GATE CSE 1996 | Question: 10
Let $A = \begin{bmatrix} a_{11} && a_{12} \\ a_{21} && a_{22} \end{bmatrix} \text { and } B = \begin{bmatrix} b_{11} && b_{12} \\ b_{21} && b_{22} \end{bmatrix}$ be two matrices such that $AB=I$ ... $CD =I$. Express the elements of $D$ in terms of the elements of $B$.

Kathleen asked in Linear Algebra Oct 10, 2014

2.1k views

2 votes

1 answer

20

GATE CSE 1996 | Question: 9
The Fibonacci sequence $\{f_1, f_2, f_3 \ldots f_n\}$ is defined by the following recurrence:$f_{n+2} = f_{n+1} + f_n, n \geq 1; f_2 =1:f_1=1$Prove by induction that every third element of the sequence is even.

Kathleen asked in Combinatory Oct 10, 2014

777 views

32 votes

5 answers

21

GATE CSE 1996 | Question: 8
Let $F$ be the collection of all functions $f: \{1, 2, 3\} \to \{1, 2, 3\}$. If $f$ and $g \in F$, define an equivalence relation $\sim$ by $f\sim g$ if and only if $f(3) = g(3)$. Find the number of equivalence classes defined by $\sim$. Find the number of elements in each equivalence class.

Kathleen asked in Set Theory & Algebra Oct 10, 2014

3.3k views

31 votes

2 answers

22

GATE CSE 1996 | Question: 7
A demand paged virtual memory system uses $16$ bit virtual address, page size of $256$ bytes, and has $1$ Kbyte of main memory. $\text{LRU}$ page replacement is implemented using the list, whose current status (page number is decimal) is For each ... indicate the new status of the list page faults, if any, and page replacements, if any.

Kathleen asked in Operating System Oct 10, 2014

4.7k views

0 votes

1 answer

23

GATE CSE 1996 | Question: 6
An 8052 based system has an output port with address 00H. Consider the following assembly language program. ORG 0100H MVI A, 00H LXI H, 0105H OUT 00H INR A PCHL HLT What does the program do with respect to the output port $00H$ ? Show the waveforms at the three least significant bits of the port $00H$.

Kathleen asked in CO and Architecture Oct 9, 2014

487 views

16 votes

1 answer

24

GATE CSE 1996 | Question: 5
A logic network has two data inputs $A$ and $B$, and two control inputs $C_0$ and $C_1$. It implements the function $F$ according to the following table. ${\begin{array}{|cc|c|}\hline \textbf{$C_1$}& \textbf{$ ... $1$ Multiplexer, one $2-$input Exclusive OR gate, one $2-$input AND gate, one $2-$input OR gate and one Inverter.

Kathleen asked in Digital Logic Oct 9, 2014

2.3k views

43 votes

5 answers

25

GATE CSE 1996 | Question: 4
A binary search tree is used to locate the number $43$ ...

Kathleen asked in DS Oct 9, 2014

14.9k views

19 votes

2 answers

26

GATE CSE 1996 | Question: 3
Let $f$ be a function defined by $f(x) = \begin{cases} x^2 &\text{ for }x \leq 1\\ ax^2+bx+c &\text{ for } 1 < x \leq 2 \\ x+d &\text{ for } x>2 \end{cases}$ Find the values for the constants $a$, $b$, $c$ and $d$ so that $f$ is continuous and differentiable everywhere on the real line.

Kathleen asked in Calculus Oct 9, 2014

2.8k views

30 votes

6 answers

27

GATE CSE 1996 | Question: 2.25
A micro program control unit is required to generate a total of $25$ control signals. Assume that during any micro instruction, at most two control signals are active. Minimum number of bits required in the control word to generate the required control signals will be: $2$ $2.5$ $10$ $12$

Kathleen asked in CO and Architecture Oct 9, 2014

17.7k views

15 votes

4 answers

28

GATE CSE 1996 | Question: 2.24
What is the equivalent Boolean expression in product-of-sums form for the Karnaugh map given in Fig $B\overline{D} + \overline{B}D$ $(B + \overline{C} +D) (\overline{B} + C + \overline{D})$ $(B + {D})(\overline{B} +\overline{ D})$ $(B + \overline{D})(\overline{B} + {D})$

Kathleen asked in Digital Logic Oct 9, 2014

5.3k views

39 votes

4 answers

29

GATE CSE 1996 | Question: 2.23
Consider the following state table for a sequential machine. The number of states in the minimized machine will be ... $4$ $3$ $2$ $1$

Kathleen asked in Theory of Computation Oct 9, 2014

8.2k views

23 votes

2 answers

30

GATE CSE 1996 | Question: 2.22
Consider the circuit in figure. $f$ implements $\overline{A} \overline{B}C + \overline{A}B \overline{C} + ABC$ $A + B + C$ $A \oplus B \oplus C$ $AB + BC + CA$

Kathleen asked in Digital Logic Oct 9, 2014

6k views

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