Introduction to Number Systems ENR107
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Introduction to Number Systems ENR107

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Questions and Answers

What is the percentage weight of the Mid-Semester Examination in the evaluation components?

15%

What grading system is used in the course?

Absolute grading

Which of the following is a type of digital programmable system?

  • Laptops (correct)
  • Registers
  • Counters
  • Logic gates
  • Continuous variables have _____ possible number of values within a finite range.

    <p>infinite</p> Signup and view all the answers

    Discrete variables can have infinite values within a finite range.

    <p>False</p> Signup and view all the answers

    What is the purpose of Analog to Digital Conversion (ADC)?

    <p>To convert continuous variables to discrete form for processing.</p> Signup and view all the answers

    Which of the following is an example of an analog signal?

    <p>Thermocouple output</p> Signup and view all the answers

    What theorem is associated with the sampling frequency in ADC operations?

    <p>Nyquist theorem</p> Signup and view all the answers

    The maximum quantization error is _____ of the quantization step.

    <p>q/2</p> Signup and view all the answers

    Why is binary preferred over decimal in signal processing?

    <p>It is less affected by noise.</p> Signup and view all the answers

    Study Notes

    Course Overview

    • Introduction to various number systems, microprocessors, and their applications in real-time systems.
    • Integrated Development Environment (IDE) will be explored alongside programming practices.

    Evaluation Components

    • Mid-Semester Examination accounts for 15% of the final grade.
    • End Semester Examination contributes 25% to the overall evaluation.
    • Assignments, quizzes, weekly reports, and a project each constitute 15% of the final mark.

    Grading System

    • Absolute grading system with specific ranges for letter grades.
    • Grades range from A (90-100) to NP (0-29).

    Digital Electronic Circuits

    • Digital circuits classified into non-programmable (e.g., logic gates, flip-flops) and programmable circuits (e.g., microprocessors).
    • Strong emphasis placed on understanding programmable circuits.

    Digital Programmable Systems

    • Two categories: general-purpose systems (e.g., laptops, desktops) and special-purpose systems (e.g., washing machines, mobile devices).
    • Focus on foundational concepts of special-purpose systems.

    General Algorithm

    • Process consists of reading input, processing it, generating control signals, displaying results, and looping back to read input again.

    Continuous vs. Discrete Variables

    • Discrete variables used for computer processing; continuous variables have infinite potential values (e.g., temperature, distance).
    • Discrete examples include counts of objects; they are represented as finite numbers.

    Analog to Digital Conversion

    • Continuous variables must be converted to discrete formats for computer processing.
    • Signals defined as functions of time, and must be converted into electrical signals via sensors.

    Types of Signals

    • Analog Signal: Characterized by continuous amplitude and time (CA/CT).
    • Digital Signal: Defined by discrete amplitude and time (DA/DT); often produced by analog sensors and converted using Analog to Digital Converters (ADC).

    ADC Operations

    • Sampling process converts analog signals (CA/CT) to digital form (CA/DT).
    • Nyquist theorem necessitates a sampling frequency (fs) of at least double the maximum frequency (fmax) of the signal to avoid aliasing.

    Examples of Sampling Frequencies

    • Speech signal sampled at 8 Ksamples/s with a fmax of 3.5 KHz.
    • Sound signal sampled at 48 Ksamples/s with a fmax of 20 KHz.

    Sampling Process

    • Utilizes a multiplier where an analog signal is combined with a periodic pulse train.

    Quantization

    • Converts continuous amplitude into discrete amplitudes, defined mathematically.
    • Formula for quantization step (q): q = (Vmax – Vmin)/(2^n), where n is the number of bits used.

    Encoding

    • Encoders convert quantized amplitudes into binary values for efficient digital representation.
    • The binary system is preferred due to its efficiency in using only two stable voltage levels.

    Benefits of Binary Encoding

    • Requires fewer stable levels compared to decimal systems.
    • Reduces the effect of noise, which is crucial for long-distance signal transmission.
    • Facilitates easier processing through Boolean logic in circuits.

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    Description

    This quiz covers key concepts from the ENR107 course, focusing on number systems, microprocessors, and IDEs. It also touches on programming applications relevant to real-time systems. Understand the evaluation components and grading rubric to prepare effectively for the course.

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