COS1521: Foundations of Computer Science

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Questions and Answers

Considering a computer as a 'black box', which aspect is primarily focused on in Computer Science?

  • The specific programming language used.
  • The relationship between input and output. (correct)
  • The historical development of computing.
  • The internal hardware components.

Why is the binary number system considered a 'natural' form for computers?

  • It can be easily implemented using electronic circuits. (correct)
  • It is the most efficient way to represent large numbers.
  • It requires less memory space than other number systems.
  • It is easier for humans to understand than other number systems.

What is the primary reason for using hexadecimal representation when working with computer memory?

  • To simplify the process of performing arithmetic operations
  • To make it easier for humans to read and understand binary data (correct)
  • To reduce the amount of memory required to store data
  • To increase the speed of data processing.

How does an arithmetic shift operation differ from a logical shift operation?

<p>An arithmetic shift preserves the sign bit, while a logical shift does not. (A)</p> Signup and view all the answers

What is the role of Boolean algebra in representing information within a computer?

<p>It is used to represent information as variables that can only take on the values 0 or 1. (C)</p> Signup and view all the answers

In the context of logic gates, what is the significance of a truth table?

<p>It shows the possible input and output relationships for the gate. (C)</p> Signup and view all the answers

What is the key characteristic of a combinational logic circuit?

<p>Its outputs depends entirely on the inputs. (A)</p> Signup and view all the answers

What distinguishes a sequential circuit from a combinational circuit?

<p>Sequential circuits can remember their current state for future use. (A)</p> Signup and view all the answers

What is the primary function of the Arithmetic Logic Unit (ALU) within a computer system?

<p>To perform calculations and logical operations. (C)</p> Signup and view all the answers

In the context of computer architecture, what does CISC stand for?

<p>Complex Instruction Set Computing (A)</p> Signup and view all the answers

What is the role of the TCP/IP protocol suite in computer networking?

<p>To establish communication between different nodes on a network (C)</p> Signup and view all the answers

Which layer of the TCP/IP model is responsible for providing reliable, ordered, and error-checked delivery of data between applications?

<p>Transport Layer (D)</p> Signup and view all the answers

Which of the following is an example of an application that provides service to Internet users?

<p>FTP (B)</p> Signup and view all the answers

Which of the following is a primary function of an operating system?

<p>Managing memory (D)</p> Signup and view all the answers

Which of the following best describes an algorithm?

<p>A set of detailed, step-by-step instructions for solving a problem or accomplishing a task. (C)</p> Signup and view all the answers

What are the three main constructs used in algorithms?

<p>Sequence, decision, repetition (C)</p> Signup and view all the answers

What process transforms high-level programming languages into machine language?

<p>Translation (B)</p> Signup and view all the answers

In software engineering, what does the term 'software lifecycle' refer to?

<p>The complete process from the initial idea to the final retirement of a software system. (D)</p> Signup and view all the answers

Which of the following is a key activity performed during the analysis phase of the software lifecycle?

<p>Gathering and documenting requirements. (D)</p> Signup and view all the answers

Which of the following data structures stores elements in a linear sequence, allowing access to elements by their position or index?

<p>Array (D)</p> Signup and view all the answers

What is a key difference between sequential files and indexed files?

<p>Sequential files can only be accessed in the order they are stored. (B)</p> Signup and view all the answers

What is the purpose of hashing in file structures?

<p>To provide a method for directly accessing records. (D)</p> Signup and view all the answers

What is a primary difference between a text file and a binary file?

<p>Text files store data as human-readable characters, while binary files store data in raw binary format. (C)</p> Signup and view all the answers

What is one key concept associated with database management systems (DBMS)?

<p>The three-level architecture. (C)</p> Signup and view all the answers

What statement accurately describes different database models?

<p>Each model structures data in a unique way. (B)</p> Signup and view all the answers

Which logical gate is best described as an 'equivalence detector,' providing a high output only when its inputs are identical?

<p>XNOR (C)</p> Signup and view all the answers

Consider a scenario where a file needs to store customer data with fields for name, address, and phone number. Which data structure would likely be the most suitable?

<p>A record (D)</p> Signup and view all the answers

How would you represent the decimal number 35 in binary?

<p>00100011 (C)</p> Signup and view all the answers

Convert the binary number 11011010 into its hexadecimal representation.

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What condition must be met for De Morgan's Law to be correctly applied when simplifying Boolean expressions?

<p>The expression must involve at least one NOT operator (A)</p> Signup and view all the answers

Given two's complement representation with 8 bits, what decimal value does 11111000 represent?

<p>-8 (C)</p> Signup and view all the answers

What is the decimal equivalent of $10110.11_2$?

<p>22.75 (C)</p> Signup and view all the answers

Simplify the Boolean expression: $X + (X \cdot Y)$

<p>$X$ (A)</p> Signup and view all the answers

Convert $3F.C_{16}$ to octal.

<p>77.6 (C)</p> Signup and view all the answers

What is the next hexadecimal number after $19F$?

<p>$1A0$ (A)</p> Signup and view all the answers

Simplify the following expression using Boolean Algebra: $(A' + B')(A + B)$

<p>0 (B)</p> Signup and view all the answers

After applying a logical right shift operation on the bit pattern 11001111, what is the result?

<p><code>01100111</code> (C)</p> Signup and view all the answers

The binary number 1011 is multiplied by 10. What is the answer?

<p><code>10110</code> (B)</p> Signup and view all the answers

What is the function of a shift register?

<p>To store data temporarily (D)</p> Signup and view all the answers

What is the result when XNOR logic gate is applied on A=1 and B=0?

<p>0 (A)</p> Signup and view all the answers

What is the primary focus of Unit 3 concerning data within a computer?

<p>Describing data types and how these are represented. (B)</p> Signup and view all the answers

If a computer manufacturer increases computer word size, what is directly affected?

<p>The amount of data that can be stored. (B)</p> Signup and view all the answers

What is the main purpose of the Internet Protocol (IP) within the TCP/IP model?

<p>Routing data packets between different networks. (A)</p> Signup and view all the answers

In software engineering, what is the focus of the design phase within the software lifecycle?

<p>Translating the requirements into a detailed blueprint for the software. (D)</p> Signup and view all the answers

What role do transistors play in the implementation of logic gates?

<p>They act as switches controlled by input voltages. (C)</p> Signup and view all the answers

What is the key characteristic that distinguishes a sequential circuit from a combinational circuit?

<p>The output of a sequential circuit depends on past inputs and current inputs. (B)</p> Signup and view all the answers

When simplifying Boolean functions using a Karnaugh map, what principle applies to grouping minterms?

<p>Groups should maximize the number of minterms. (A)</p> Signup and view all the answers

What is the main function of a multiplexer in digital electronics?

<p>To select one of several input signals to forward as a single output. (B)</p> Signup and view all the answers

Given the following logic gates: AND, OR, NOT, NAND, NOR, and XOR, which gate produces a high output only when its inputs are different?

<p>XOR gate (B)</p> Signup and view all the answers

A file needs to store the names of all students in a class. Which file structure is best suited for frequent updates that require locating a specific student?

<p>Indexed file (C)</p> Signup and view all the answers

After applying De Morgan’s Law, what is the simplified equivalent of $(A + B)'$?

<p>$A' \cdot B'$ (B)</p> Signup and view all the answers

Given a two’s complement representation using 8 bits, what decimal value does $11111110$ represent?

<p>-2 (C)</p> Signup and view all the answers

What process is used to translate high-level programming languages into machine code?

<p>Compilation (A)</p> Signup and view all the answers

After applying a logical left shift operation on the bit pattern 00001111, what is the result?

<p><code>00011110</code> (D)</p> Signup and view all the answers

If one input of an AND gate is LOW, what is the output?

<p>LOW, regardless of the other input (B)</p> Signup and view all the answers

When converting from binary arithmetic to hexadecimal representation, how many binary bits correspond to one hexadecimal digit?

<p>4 (D)</p> Signup and view all the answers

What is one important consideration for a quality software product examined during the implementation phase?

<p>Maintainability (B)</p> Signup and view all the answers

How would you describe the relationship between a half adder and a multiplexer in digital circuit design?

<p>Both can be logically equivalent combinational circuits. (A)</p> Signup and view all the answers

How could an asynchronous flip-flop be changed into a synchronous device?

<p>By adding a clock input. (D)</p> Signup and view all the answers

How are rules used in Boolean algebra categorized?

<p>Axioms, Theorems, Identities. (A)</p> Signup and view all the answers

Which components can computers be built with?

<p>On/off components (D)</p> Signup and view all the answers

What does the term 'black box' refer to when considering the computer?

<p>It is only interested in the output given certain inputs. (A)</p> Signup and view all the answers

What methods reduce the number of gates required for a Boolean function?

<p>Karnaugh maps (D)</p> Signup and view all the answers

What are 'minterms'?

<p>A specific combination of inputs that produces a high output (A)</p> Signup and view all the answers

Under what circumstances can a combinatorial logic circuit be logically equivalent

<p>Logic circuits can be logically equivalent. (B)</p> Signup and view all the answers

Which of the following parts are beyond the scope of this module?

<p>all the others (D)</p> Signup and view all the answers

What must be remembered about all kinds of stored data?

<p>All kinds of data are stored in the form of bit patterns, i.e. 0s and 1s.. (C)</p> Signup and view all the answers

Select the primary parts of the computer

<p>three subsystems (B)</p> Signup and view all the answers

Which of the following is a corequisite for COS1512?

<p>COS1511 (D)</p> Signup and view all the answers

What is referred to as a nibble?

<p>A bit pattern of length 4 is called a nibble (D)</p> Signup and view all the answers

Complete the following statement related to De Morgan's theorem, Rule (a). (a + b)' = ?

<p>a' b (D)</p> Signup and view all the answers

What software is used to create structured computer programs according to strict rules and principles?

<p>Software engineering (C)</p> Signup and view all the answers

What is the process of obtaining 32 from this decimal represtation =0-1-2-4-8←16←decimal (Divide repetitively by 2; remainders appear below.)?

<p>Thus(32)10=(100000)2. (D)</p> Signup and view all the answers

The sentence provides a number conversion example: What is the last step for determining 9+2=1+10?

<p>takes place when we get a 10. (C)</p> Signup and view all the answers

In this chapter in Forouzan, the binary, octal, decimal and hexadecimal number systems are what?

<p>are discussed. (A)</p> Signup and view all the answers

What is provided in this chapter?

<p>different approaches to computer architecture and organisation used on CISC and RISC machines (D)</p> Signup and view all the answers

Which of the following best describes the role of data representation in computer systems?

<p>To efficiently store and manipulate information. (D)</p> Signup and view all the answers

How would increasing a computer's word size from 32 bits to 64 bits primarily impact processing?

<p>It would allow for more efficient data processing and larger memory addresses. (A)</p> Signup and view all the answers

Why is understanding different data types important in computer programming?

<p>To avoid errors and maximize efficency. (A)</p> Signup and view all the answers

If a computer program produces an incorrect output, and debugging reveals that the logic is correct, what is a likely source of the error?

<p>Incorrect input data or faulty representation of data. (C)</p> Signup and view all the answers

When designing a file system for an operating system, which design choice favors faster data retrieval but may use more disk space?

<p>Using larger block sizes (D)</p> Signup and view all the answers

Which of the following is a key consideration when designing an algorithm to sort a large dataset?

<p>The algorithm's time complexity and space complexity. (C)</p> Signup and view all the answers

How do file structures relate to data structures?

<p>Data structures organize data in memory, while a file structure organizes data on storage devices. (C)</p> Signup and view all the answers

What role does the operating system play in data management?

<p>It provides an interface for users to interact with files and manages access to storage devices. (C)</p> Signup and view all the answers

What is the likely result when an algorithm designed for a specific data structure is applied to a different, incompatible data structure?

<p>It may perform incorrectly or cause errors because the algorithm's assumptions about data organization are violated. (A)</p> Signup and view all the answers

Which factor primarily determines the suitability of computer architecture (CISC or RISC) for a specific application?

<p>The specific computation tasks. (C)</p> Signup and view all the answers

How is memory management handled by the operating system?

<p>It allocates and deallocates memory space, and manages the sharing of memory among processes. (C)</p> Signup and view all the answers

Which of the following is a software quality concern during maintenance phase of a software lifecycle:

<p>Regression testing to ensure new changes do not introduce bugs. (B)</p> Signup and view all the answers

Which of the following is an essential difference between main memory and secondary storage?

<p>Main memory directly accessible by the CPU; secondary storage not directly accessible by the CPU. (C)</p> Signup and view all the answers

What is the process of ‘abstraction’ in computer programming?

<p>Simplifying complex systems or processes by hiding implementation details. (A)</p> Signup and view all the answers

Which aspect of software development is most heavily emphasized in the design phase?

<p>Planning the structure, algorithms, and interfaces for the software. (D)</p> Signup and view all the answers

How is a 'nibble' related to a byte?

<p>A nibble is half the size of a byte. (A)</p> Signup and view all the answers

Considering memory organization, which statement is generally true about data?

<p>Data in memory is primarily stored in binary format. (C)</p> Signup and view all the answers

What is the purpose of loop construct in algorithm design?

<p>Repeating a block of code multiple times until specific criterion is met. (D)</p> Signup and view all the answers

Which option accurately describes the relationship between high-level languages and machine code?

<p>Machine code is directly executed, high-level isn't. (B)</p> Signup and view all the answers

When implementing logic gates with electronic switches, such as transistors, what is one key consideration for representing Boolean values?

<p>Voltage levels can represent HIGH and LOW states (1 and 0). (C)</p> Signup and view all the answers

Flashcards

Computer

A device used for processing data.

Number Systems

Different number systems and the way in which conversions between these number systems can be done.

Data Storage

Different data types and the way in which these are represented in computers are introduced

Boolean algebra

Components that can be in one of two states.

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Logic gates

Electronic devices that create one output for some inputs.

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Combinational logic circuit

A combination of logic gates with n inputs and m outputs and each output depends entirely on all inputs.

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Sequential circuit

Can remember its current state to be used in future, in other words, a future state can be dependent on a current state.

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Computer organisation

The internal organisation of a modern digital computer is considered.

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Computer Networks

Network principles as well as some devices and protocols used in networks are introduced.

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Operating Systems

An introduction to the most important operating system concepts is provided

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Algorithms

The concept of an algorithm.

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Programming Languages

Programming languages and different programming paradigms are discussed and compared.

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Algorithm

A well-defined list of steps for completing a task.

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Programming languages

Languages which can convert instructions into machine code.

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Software Engineering

The concepts of software engineering.

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Data Structures

Different ways in which data can be stored by using data structures are considered.

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File Structures

The concepts of files, file structures and file access methods are considered.

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Databases

The important database concepts are considered.

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Boolean function

A function with n Boolean input variables and one Boolean output variable that can be represented by a truth table or an expression.

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Study Notes

COS1521 Tutorial Letter 102/3/2025 Summary

  • This tutorial letter supplements the prescribed book, Forouzan's "Foundations of Computer Science" (5th edition).
  • The letter is divided into three parts: a manual for the prescribed book, additional exercises and study material, and solutions to self-assessment exercises.
  • Part I provides the module's purpose, outcomes, assessment criteria, ranges, and notes on the study material covered in Forouzan.
  • Part II includes exercises and study material for Forouzan, Chapters 2-4 and Appendix E, particularly focusing on number systems, data storage, operations on data, Boolean algebra, and logic circuits.
  • Part III offers solutions to self-assessment exercises.
  • Students are advised to read Tutorial Letter 101 for excluded content and to thoroughly review all content before contacting lecturers.
  • All content within this tutorial letter is examinable

Module Purpose, Outcomes, Assessment

  • COS1521 introduces students to the computer as a system, covering hardware, basic computer architecture, software and database concepts.
  • Students need to demonstrate data representation, manipulation, and storage within a computer using number systems and Boolean algebra
  • Students need to understand the basic functions of computers, software development, & hardware units.
  • Students should demonstrate understanding of data communications and networks.
  • Students need to describe data structures and database functions.
  • COS1511, COS1512, COS1501, INF1511, INF1505, and INF1520 are related first-year modules offered by the School of Computing.

Key Points and Reminders

  • A bit pattern of length 4 is called a nibble.
  • Forouzan, Chapters 12, 15-18, and Appendixes B-D, F-H are excluded from the COS1521 syllabus.
  • Read through the subsections on pipelining and parallel processing, and where a simple computer system is used to illustrate the concepts covered in this chapter.
  • The last outcome in the list involving iterative and recursive algorithms is excluded because Section 8.7 does not form part of the syllabus.

Unit 1- Introduction

  • Supplements Chapter 1 of Forouzan.
  • Introduces the computer as a data processing device.
  • Introduces the concept of considering the computer as a 'black box'.
  • The von Neumann model on which most modern computers are based, is discussed.

Unit 2 - Number Systems

  • Supplements Chapter 2 of Forouzan, discussing different number systems and conversions between them.
  • Converting a hexadecimal number to octal and vice versa must be understood.
  • Section 2.3 is excluded.

Unit 3 - Data Storage

  • Supplements Chapter 3 of Forouzan, introduces different data types and the ways data is represented in computers.
  • Appendix A is not part of the syllabus, but can be read.
  • All kinds of data are stored in the form of bit patterns i.e. 0s and 1s.

Unit 4 - Operations on Data

  • Supplements Chapter 4 and Appendix E of Forouzan, covering arithmetic and logical operations, Boolean algebra, and logic circuits.
  • The outcomes for Appendix E, cover determining outcomes of simple logic circuits, understanding logic gates, using Boolean expressions, drawing logic circuits, simplifying expressions with Karnaugh maps, and describing combinational circuits.
  • The 'product of sums' and related examples are excluded.

Appendix E: Boolean Algebra and Logic Circuits

  • Computers are built with components that can be in one of two states: on or off.
  • Boolean expressions are combinations of constants (0 or 1), variables, and basic operators (NOT, AND, OR).
  • Logic gates (buffer, NOT, AND, OR, NAND, NOR, XOR) create one output for some inputs.
  • Electronic switches implement logic gates, with input and output signals as 0s or 1s.
  • Rules are used in Boolean algebra and are divided into three categories namely axioms, theorems and identities extended to simplify Boolean expressions.

Unit 5 - Computer Organisation

  • Supplements Chapter 5 of Forouzan, considers the internal organisation of a modern digital computer.
  • Internal organization of a stand-alone computer is explained starting from the identification of three subsystems.
  • Instructions being executed in a computer program is described and the different ways l/O operations can be synchronised with CPU operations

Unit 6 - Computer Networks

  • Supplements Chapter 6 of Forouzan covering network principles, devices, and protocols used in networks.
  • Provides some physical structes appliable to networks and discusses different network topologies,
  • Discusses the TCP/IP network protocol suite.

Unit 7 - Operating Systems

  • Supplements Chapter 7 of Forouzan, introduces important operating system concepts.
  • Looks at the evolution of operating systems and the different components comprising an operating system

Unit 8 - Algorithms

  • Supplements Chapter 8 of Forouzan, introduces the concept of an algorithm.
  • Discusses the main constructs used in algorithms, sequence, a decision and a repetition.
  • Several examples are given, to illustrate how algorithims can be used to provide a description of how a problem could be solved.
  • Recursion does not form part of the syllabus and will be dealt with in a second year module

Unit 10 - Programming languages

  • Supplements Chapter 10 of Forouzan, comparing different programming languages and paradigms.
  • Describes how high-level programming languages are converted to machine language.
  • Section 10.4 is not part of the syllabus

Unit 11 - Software Engineering

  • Supplements Chapter 11 of Forouzan, introducing software engineering concepts.
  • Introduces the software lifecycle and examines two different processes for systems development
  • Chapter 13 is not included in this module (syllabus)

Unit 12 - Data Structures

  • Supplements Chapter 12 of Forouzan describing ways data is stored byusing data structures.
  • We look at one- and two- dimensional arrays are describe how operations on these are handled.
  • Discusses concepts of a record and of fields within a record, we look at different ways individual records and fields are accessed is considered

Unit 14 - File Structures

  • Supplements Chapter 14 of Forouzan, considering file concepts, file structures and file access methods.
  • Looks at at sequential files and how these are accessed and updated
  • Considers types of file that can be accessed randomly indexed files and hashed files are accessed
  • Use of directories for systematically organising files is described.

Databases

  • Supplements Chapter 15 of Forouzan, introducing database concepts.
  • The three level of DBMS architecture proposed by the American National Standards Institute are discussed
  • The relational model is studied in detail, however syntax for SQL statements and database design are excluded from the syllabus

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