Digital Logic Design Module 1 Quiz
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Questions and Answers

Which number system is most commonly used by humans for counting and calculation?

  • Decimal number system (correct)
  • Hexadecimal number system
  • Octal number system
  • Binary number system

    • What is the base value of the binary number system?

  • 8
  • 2 (correct)
  • 4
  • 16

    • Which number system is primarily utilized by computers for processing data?

  • Hexadecimal number system
  • Octal number system
  • Binary number system (correct)
  • Decimal number system

    • What is the correct term for a system that represents numbers and quantities using specific rules?

    <p>Number system</p> Signup and view all the answers

    Which of the following number systems is based on the powers of 8?

    <p>Octal number system</p> Signup and view all the answers

    What is the base of the binary number system?

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

    Which hexadecimal digit represents the decimal value 10?

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

    How many unique digits does the octal number system use?

    <p>8</p> Signup and view all the answers

    Which decimal number is equal to the binary number 1101?

    <p>13</p> Signup and view all the answers

    What is the decimal equivalent of the octal number 12?

    <p>10</p> Signup and view all the answers

    In the context of number systems, what is the main reason computers use the binary system?

    <p>It aligns with digital electronics.</p> Signup and view all the answers

    Which of the following is NOT a valid digit in the hexadecimal system?

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

    How can the decimal number 2510 be represented in binary?

    <p>110001011</p> Signup and view all the answers

    What is the octal representation of the decimal number 185?

    <p>(271)8</p> Signup and view all the answers

    Which digit makes the octal number (778)8 invalid?

    <p>8</p> Signup and view all the answers

    What is the binary equivalent of the octal number (236)8?

    <p>(010011110)2</p> Signup and view all the answers

    What does the hexadecimal digit 'C' represent in decimal?

    <p>12</p> Signup and view all the answers

    How would you represent the binary number (0110111001101)2 in octal format?

    <p>(156)8</p> Signup and view all the answers

    What is a defining characteristic of gray code?

    <p>There is only a single bit change from one code word to the next.</p> Signup and view all the answers

    In Binary Coded Decimal (BCD), how many total combinations are possible with four bits?

    <p>16 total combinations.</p> Signup and view all the answers

    What does EBCDIC stand for?

    <p>Extended Binary Coded Decimal Interchange Code.</p> Signup and view all the answers

    Which of the following is true about ASCII-8?

    <p>It was developed by ANSI with extended functionality.</p> Signup and view all the answers

    Which character coding standard uses 16 bits to represent characters?

    <p>Unicode.</p> Signup and view all the answers

    Which of these coding systems is primarily developed for alphanumeric characters?

    <p>EBCDIC.</p> Signup and view all the answers

    What is the maximum number of characters ASCII-7 can represent?

    <p>128 characters.</p> Signup and view all the answers

    What is the decimal equivalent of the hexadecimal number (5C7)16?

    <p>1479</p> Signup and view all the answers

    Which binary number is equivalent to the hexadecimal number (10A8)16?

    <p>0001000010101000</p> Signup and view all the answers

    What is the result of adding the binary numbers (1101)2 and (101)2?

    <p>10010</p> Signup and view all the answers

    What is the result of subtracting (1110)2 from (10010)2?

    <p>01001</p> Signup and view all the answers

    What does the 1's complement of the binary number 10011100 represent?

    <p>01100011</p> Signup and view all the answers

    How is the 2's complement of a binary number obtained?

    <p>Flip the bits and add 1 to the least significant bit.</p> Signup and view all the answers

    Which of the following represents binary multiplication of (1101)2 by (101)2?

    <p>100001</p> Signup and view all the answers

    Which of the following is NOT a valid result when performing binary addition?

    <p>1 + 0 = 0</p> Signup and view all the answers

    What is the result of dividing (1001110)2 by (100)2?

    <p>10011</p> Signup and view all the answers

    What is the weight of the hexadecimal digit 'C' in a hexadecimal number?

    <p>12</p> Signup and view all the answers

    What is the decimal equivalent of the binary number (101011)2?

    <p>43</p> Signup and view all the answers

    When converting the binary fraction 0.1101 to decimal, what is its decimal equivalent?

    <p>0.8125</p> Signup and view all the answers

    Which of the following correctly represents the binary number (10011)2 in decimal?

    <p>19</p> Signup and view all the answers

    How do you calculate the decimal equivalent of the binary number (111001)2?

    <p>57</p> Signup and view all the answers

    What is the result of converting the binary number (110010)2 into decimal?

    <p>50</p> Signup and view all the answers

    In the binary number system, what does the digit in the second position from the right (bit 1) represent?

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

    What is the decimal equivalent of the binary fraction (11.011)2?

    <p>3.375</p> Signup and view all the answers

    Which of the following describes the base of the octal number system?

    <p>8</p> Signup and view all the answers

    How do you convert the decimal number 44 to binary?

    <p>(101100)2</p> Signup and view all the answers

    Study Notes

    Course Information

    • Course Name: Digital Logic Design
    • Course Code: CSCS-2522
    • Credit Hours: 3
    • Instructor: Prof. Mudassar Saleem (M.Phil. Computer Science)
    • Module #: 1

    Today's Agenda

    • Importance of the subject
    • What is a number system?
    • Commonly used number systems
    • Number system conversions

    Course Objectives

    • Teach fundamental concepts of classical digital design
    • Demonstrate how digital circuits are designed and analyzed
    • Familiarize students with modern hierarchy of digital hardware
    • Enlighten students on state-of-the-art computer hardware design methodologies
    • Provide a basic idea of designing and simulating logic circuits

    Number Systems

    • A number system is a system for representing numbers and quantities using digits, symbols, and rules for counting, calculations, and measurements.

    Commonly Used Number Systems

    • Decimal
    • Binary
    • Octal
    • Hexadecimal

    Common Number Systems

    System Base Symbols Used by humans? Used in computers?
    Decimal 10 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Yes No
    Binary 2 0, 1 No Yes
    Octal 8 0, 1, 2, 3, 4, 5, 6, 7 No No
    Hexadecimal 16 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F No No

    Quantities/Counting (Examples)

    • Example conversions of numbers in different systems (decimal, binary, octal, hexadecimal) are shown.

    Conversion Among Bases

    • Decimal ↔ Binary
    • Decimal ↔ Octal
    • Binary ↔ Hexadecimal
    • Conversion techniques are illustrated.

    Quick Example

    • 2510 = 110012 = 318 = 1916
    • Examples are provided to show equivalences between different number systems.

    Decimal Number System

    • Consists of digits 0 to 9
    • Base is 10
    • Used for everyday calculations.

    Decimal to Decimal

    • Example conversion from one decimal to another

    Decimal to Binary

    • Conversion technique is explained
    • Method for converting decimal to binary

    Binary Number System

    • Uses digits 0 and 1
    • Base is 2
    • Used in digital computers
    • Example conversions of binary to decimal (and vice versa) are included

    Binary to Decimal

    • Conversion technique is explained: Multiply each bit by 2n, where n is the position of the bit, and then add the results

    Example (Binary to Decimal)

    • 1010112 = 4310

    Binary Arithmetic

    • Rules for binary addition and subtraction

    Binary Subtraction

    • Rules for binary subtraction

    Binary Multiplication

    • Rules for binary multiplication

    Binary Division

    • Rules for binary division

    1's Complement of Binary Number

    • Change all 1s to 0s and all 0s to 1s

    2's Complement of Binary Number

    • Take the 1's complement, add 1 to the least significant bit

    Gray Code

    • Non-weighted binary code
    • Only one bit changes between successive codes

    Encoding Schemes:

    • BCD (Binary Coded Decimal)
    • EBCDIC (Extended Binary Coded Decimal Interchange Code)
    • ASCII (American Standard Code for Information Interchange)
    • Unicode

    Unicode

    • Character encoding standard supporting many languages

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    Related Documents

    Digital Logic Design - Module 1 PDF

    Description

    Test your understanding of number systems and their conversions in the first module of Digital Logic Design. This quiz covers the importance of the subject, commonly used number systems like decimal, binary, octal, and hexadecimal, and the principles of numerical representations.

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