Binary and Number Systems Quiz
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Questions and Answers

What is the decimal equivalent of the binary number (11011)_2?

  • 13351
  • 27 (correct)
  • 2727
  • 38
  • What is the binary equivalent of the decimal number (23)_10?

  • 10111 (correct)
  • 11111
  • 11000
  • 1101
  • Which of these is a valid binary number?

  • 10010110 (correct)
  • 20010110
  • 11031011
  • 100101102
  • What is the octal equivalent of the binary number (101101)_2?

    <p>131 (B)</p> Signup and view all the answers

    Perform the following binary multiplication: (101)_2 * (11)_2 ?

    <p>1111 (C)</p> Signup and view all the answers

    What is the decimal equivalent of the octal number (734)_8?

    <p>476 (C)</p> Signup and view all the answers

    Which of these binary numbers represents the decimal number (15)_10?

    <p>1111 (D)</p> Signup and view all the answers

    What is the hexadecimal equivalent of the decimal number (29)_10?

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

    What is the octal representation of the binary number 101101?

    <p>155 (A)</p> Signup and view all the answers

    Which of the following correctly represents the 9's complement of the decimal number 3245?

    <p>6754 (B)</p> Signup and view all the answers

    In the context of binary numbers, what is the 1's complement of 10101?

    <p>01010 (C)</p> Signup and view all the answers

    Why is the octal or hexadecimal representation more desirable for humans when communicating about binary numbers?

    <p>They require fewer digits to represent the same binary number. (C)</p> Signup and view all the answers

    In the context of the 9's complement, what does the expression "10^n - 1" represent?

    <p>A number with n consecutive 9s. (C)</p> Signup and view all the answers

    What is the main advantage of using complements in digital computers?

    <p>To simplify the subtraction operation. (B)</p> Signup and view all the answers

    What is the relationship between the radix complement and the diminished radix complement?

    <p>The radix complement is always one more than the diminished radix complement. (D)</p> Signup and view all the answers

    Which of the following BEST describes the goal of using octal or hexadecimal representations for binary numbers?

    <p>To make it easier for humans to understand and work with binary data. (B)</p> Signup and view all the answers

    What is the binary representation of the decimal number 13?

    <p>1101 (C)</p> Signup and view all the answers

    Which of the following numbers is not a valid octal number?

    <p>256 (B)</p> Signup and view all the answers

    What is the 2's complement of the binary number 1010?

    <p>0110 (C)</p> Signup and view all the answers

    What is the result of the Boolean expression A * B' + C when A = 1, B = 0, and C = 1?

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

    Which of the following is NOT a basic logic gate?

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

    What is the simplified Boolean expression for the expression A'B + AB' + AB?

    <p>A + B (C)</p> Signup and view all the answers

    Which of the following properties is TRUE for the Boolean AND operation?

    <p>All of the above (D)</p> Signup and view all the answers

    In Boolean Algebra, what is the value of 1 + 0?

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

    What is the output of a NOT gate when the input is 0?

    <p>1 (D)</p> Signup and view all the answers

    Study Notes

    Book Title and Author

    • Digital Logic and Computer Design
    • M. Morris Mano

    Contents

    • Preface
    • Binary Systems (Chapter 1)
      • Digital Computers and Digital Systems
      • Binary Numbers
      • Number Base Conversions
      • Octal and Hexadecimal Numbers
      • Complements
      • Signed Binary Numbers
      • Binary Codes
      • Binary Storage and Registers
      • Binary Logic
      • References
      • Problems
    • Boolean Algebra and Logic Gates (Chapter 2)
      • Basic Definitions
      • Axiomatic Definition of Boolean Algebra
      • Basic Theorems and Properties of Boolean Algebra
      • References
      • Problems
    • Simplification of Boolean Functions (Chapter 3)
      • The Map Method
      • Two- and Three-Variable Maps
      • Four-Variable Map
      • Five-Variable Map
      • Product of Sums Simplification
      • NAND and NOR Implementation
      • Other Two-Level Implementations
      • Don't-Care Conditions
      • The Tabulation Method
      • Determination of Prime Implicants
      • Selection of Prime Implicants
      • Concluding Remarks
      • References
      • Problems
    • Combinational Logic (Chapter 4)
      • Introduction
      • Design Procedure
      • Adders
      • Subtractors
      • Code Conversion
      • Analysis Procedure
      • Multilevel NAND Circuits
      • Multilevel NOR Circuits
      • Exclusive-OR Functions
      • References
      • Problems
    • MSI and PLD Components (Chapter 5)
      • Introduction
      • Binary Adder and Subtractor
      • Decimal Adder
      • Magnitude Comparator
      • Decoders and Encoders
      • Multiplexers
      • Read-Only Memory (ROM)
      • Programmable Logic Array (PLA)
      • Programmable Array Logic (PAL)
      • References
      • Problems
    • Synchronous Sequential Logic (Chapter 6)
      • Introduction
      • Flip-Flops
      • Triggering of Flip-Flops
      • Analysis of Clocked Sequential Circuits
      • State Reduction and Assignment
      • Flip-Flop Excitation Tables
      • Design Procedure
      • Design of Counters
      • References
      • Problems
    • Registers, Counters, and the Memory Unit (Chapter 7)
      • Introduction
      • Registers
      • Shift Registers
      • Ripple Counters
      • Synchronous Counters
      • Timing Sequences
      • Random-Access Memory (RAM)
      • Memory Decoding
      • Error-Correcting Codes
      • References
      • Problems
    • Algorithmic State Machines (ASM) (Chapter 8)
      • Introduction
      • ASM Chart
      • Timing Considerations
      • Control Implementation
      • Design with Multiplexers
      • PLA Control
      • References
      • Problems
    • Asynchronous Sequential Logic (Chapter 9)
      • Introduction
      • Analysis Procedure
      • Circuits with Latches
      • Design Procedure
      • Reduction of State and Flow Tables
      • Race-Free State Assignment
      • Hazards
      • Design Example
      • References
      • Problems
    • Digital Integrated Circuits (Chapter 10)
      • Introduction
      • Special Characteristics
      • Bipolar-Transistor Characteristics
      • RTL and DTL Circuits
      • Transistor-Transistor Logic (TTL)
      • Emmitter-Coupled Logic (ECL)
      • Metal-Oxide Semiconductor (MOS)
      • Complementary MOS (CMOS)
      • CMOS Transmission Gate Circuits
      • References
      • Problems
    • Laboratory Experiments (Chapter 11)
      • Introduction to Experiments
      • Binary and Decimal Numbers
      • Digital Logic Gates
      • Simplification of Boolean Functions
      • Combinational Circuits
      • Code Converters
      • Design with Multiplexers
      • Adders and Subtractors
      • Flip-Flops
      • Sequential Circuits
      • Counters
      • Shift Registers
      • Serial Addition
      • Memory Unit
      • Lamp Handball
      • Clock-Pulse Generator
      • Parallel Adder
      • Binary Multiplier
      • Asynchronous Sequential Circuits
    • Standard Graphic Symbols (Chapter 12)
      • Rectangluar-Shape Symbols
      • Qualifying Symbols
      • Dependency Notation
      • Symbols for Combinational Elements
      • Symbols for Flip-Flops
      • Symbols for Registers
      • Symbols for Counters
      • Symbol for RAM
      • References
      • Problems
    • Appendix: Answers to Selected Problems
    • Index
    • Additional Information (Preface)

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    Description

    Test your knowledge on binary, octal, and hexadecimal number systems with this engaging quiz. From conversions to complement representations, challenge yourself with various types of number system problems. Perfect for students learning about base systems in mathematics!

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