All India Computer Science Engineering (CSE) Group

Simplify Y = AB’ + (A’ + B)C
  • a)
    AB’ + C
  • b)
    AB + AC
  • c)
    A’B + AC’
  • d)
    AB + A
Correct answer is option 'A'. Can you explain this answer?

Madhurima Bajaj answered  •  5 hours ago
Understanding the Expression
To simplify the expression Y = AB' + (A' + B)C, we need to break it down step by step.
Step 1: Distribute C
- The term (A' + B)C can be expanded using the distributive property:
(A' + B)C = A'C + BC
- Therefore, the equation becomes:
Y = AB' + A'C + BC
Step 2: Look for Common Terms
- The expression now is:<
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Let G (V,E) be a directed graph V = {1,2,3,4,5} is the set of vertices and E is the set of directed edges, as defined by the following adjacency matrix A :
A [i][j] = 1, i <= j <= i < 5
A [i][j] = 1 indicates a directed edge from j to i
0, otherwise 
A directed spanning tree of G, rooted at r t V is defined as a sub-graph of G such that the undirected version of T is a tree and T contains a directed path from r to every other vertex in V. The number of such directed spanning trees rooted at vertex 5 is_____
    Correct answer is '24'. Can you explain this answer?

    Tanishq Chakraborty answered  •  19 hours ago
    Understanding the Directed Graph G
    The directed graph G is defined using the vertices V = {1, 2, 3, 4, 5} and an adjacency matrix A. The matrix indicates directed edges based on the conditions provided.
    Constructing the Directed Edges
    - The directed edges are established such that:
    - A[i][j] = 1 for i >= j (i.e., there is a directed edge from vertex j to vertex i
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    The total number of Boolean functions which can be realised with four variables is:
    • a)
      4
    • b)
      17
    • c)
      256
    • d)
      65,536
    Correct answer is option 'D'. Can you explain this answer?

    Dishani Shah answered  •  22 hours ago
    Total Number of Boolean Functions with Four Variables
    To understand how many Boolean functions can be realized with four variables, we first need to grasp the concept of Boolean functions.
    Definition of Boolean Functions
    - A Boolean function is a function that takes binary inputs (0 and 1) and produces a binary output.
    - For 'n' variables, each variable can be eit
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    If two finite state machines M and N are isomorphic, then
    • a)
      M can be transformed to N, merely re-labeling its states. .
    • b)
      M can he transformed to N, merely re-labeling its edges.
    • c)
      Me an be transformed to N, merely re-labeling its states and edges.
    • d)
      None of the above
    Correct answer is option 'A'. Can you explain this answer?

    Samarth Ghosh answered  •  yesterday
    Understanding Isomorphic Finite State Machines
    When we talk about two finite state machines (FSMs) M and N being isomorphic, we refer to a structural similarity between them. This means that they can be considered equivalent in terms of their state transition behavior, even if their states or transitions are labeled differently.
    Key Points of Isomorphism
    - State Re-
    ... more:
    - Isomorphic FSMs can be transformed into one another by simply renaming their states.
    - This indicates that each state in M corresponds to a unique state in N, preserving the transition structure.
    - Edge Re-labeling:
    - The edges (transitions) of an FSM are defined by their source and target states along with the input symbols that trigger them.
    - While edges can be re-labeled, isomorphism primarily concerns the relationship between states rather than the labels on edges.
    - Transformation Process:
    - To transform M into N, a bijective mapping between the states of M and N is established, allowing for consistent transition behavior.
    - The edges of M will follow the same transition rules after the states have been re-labeled, ensuring that the operational behavior remains unchanged.
    Conclusion
    Thus, the correct option is (a): M can be transformed to N, merely re-labeling its states. This encapsulates the essence of isomorphism in finite state machines, emphasizing that the structure of transitions remains intact while only state names vary. This concept is fundamental in understanding equivalence in computational systems.

    The performance depends on
    • a)
      The speed of execution only
    • b)
      The speed of fetch and execution
    • c)
      The speed of fetch only
    • d)
      The hardware of the system only
    Correct answer is option 'B'. Can you explain this answer?

    Pranjal Sen answered  •  yesterday
    Understanding Performance in Computing
    Performance in computing systems is a multifaceted concept, but option 'B' highlights a crucial aspect: the speed of fetch and execution. Here’s why both are essential:
    Speed of Execution
    - The speed of execution refers to how quickly a processor can perform operations once it has the required data.
    - However, if the data is
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    ____________ is the raw material used as input and __________ is the processed data obtained as output of data processing.
    • a)
      Data, Instructions
    • b)
      Instructions, Program
    • c)
      Data, Program
    • d)
      Program, Code
    Correct answer is option 'A'. Can you explain this answer?

    Tejas Ghoshal answered  •  yesterday
    Understanding Data Processing
    Data processing is a fundamental concept in computer science that involves transforming raw data into meaningful information. The correct answer to the question about input and output in data processing is option 'A':
    Raw Material: Data
    - Data is the unprocessed facts and figures that serve as the foundation for analysis.
    - This can
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    Which one of the following statements is TRUE?
    • a)
      LR(1) parsing is sufficient for deterministic context-free languages
    • b)
      Data flow analysis is necessary for run-time memory management.
    • c)
      Symbol table is accessed only during the lexical analysis phase
    • d)
      The LALR(1) parser for a grammar G cannot have reduce-reduce conflict if the LR(1) parser for G does not have reduce-reduce conflict. 
    Correct answer is option 'A'. Can you explain this answer?

    Varun Khanna answered  •  yesterday
    Understanding LR(1) Parsing
    LR(1) parsing is a type of bottom-up parsing technique widely used in compiler design. It can parse a larger class of deterministic context-free languages than many other parsing techniques.
    Why is Option A True?
    - Sufficient for Deterministic Context-Free Languages:
    - LR(1) parsers can handle all deterministic context-free lan
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    Which of the following statements is TRUE?
    • a)
      Symbol table is accessed only during the lexical analysis.
    • b)
      LR (1) parsing is sufficient for DCFL.
    • c)
      The LALR (1) parser for a grammar G cannot have R/R conflict if the LR (1) parser for G does not have R/R conflict
    • d)
      Data flow analysis is necessary for run time memory management. 
    Correct answer is option 'B,C,D'. Can you explain this answer?

    Varun Khanna answered  •  yesterday
    Understanding the Statements
    To determine which statements are true, let's analyze each one:
    Statement A: Symbol table is accessed only during lexical analysis.
    - This statement is FALSE.
    - The symbol table is used not only during lexical analysis but also during semantic analysis and code generation. It maintains information about identifiers throughout
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    An LALR(1) parser for a grammar G can have shift-reduce (S-R) conflicts if and only if the
    • a)
      SLR(1) parser for G has S-R conflicts
    • b)
      LR(1) parser for G has S-R conflicts
    • c)
      LR(0) parser for G has S-R conflicts
    • d)
      LALR(1) parser for G has reduce-reduce conflicts
    Correct answer is option 'B'. Can you explain this answer?

    Varun Khanna answered  •  yesterday
    Understanding Shift-Reduce Conflicts in LALR(1) Parsers
    Shift-reduce (S-R) conflicts are a common challenge in parser design, particularly in LALR(1) parsers. To understand the relationship between LALR(1) and other types of parsers, let's break down the implications of S-R conflicts.
    1. Relationship with SLR(1) Parsers
    - An SLR(1) parser is less powerful than an LALR(
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