Computer Organisation and Architecture - Vol 1 | 8. Hexadecimal Representation by Abraham | Learn Smarter
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8. Hexadecimal Representation

This chapter discusses the representation of numbers in computing, focusing on binary and hexadecimal systems, including integer representation techniques. It explains the concepts of signed and unsigned numbers, particularly through sign-magnitude and two's complement methods. Additionally, it covers how positive and negative ranges of integers are derived, including overflow situations, and introduces the representation of real numbers in floating-point format.

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Sections

  • 8.1

    Hexadecimal Representation

    Hexadecimal representation simplifies binary numbers by using a base-16 system, which is advantageous for readability and efficiency in computing.

    Learning Practice

  • 8.1.1

    Representation Of 8 Bit Number

    This section discusses how 8-bit numbers are represented in different bases, focusing on binary and hexadecimal systems, the implications of using these systems in computing, and how to represent both positive and negative integers in 8-bit format.

    Learning Practice

  • 8.1.2

    Groupings In Hexadecimal

    This section introduces the hexadecimal number system, its representation of binary values, and its efficiencies in computing.

    Learning Practice

  • 8.2

    Representation Of Integers

    This section discusses how integers are represented in different number systems, particularly focusing on binary and hexadecimal formats, along with methods to encode positive and negative integers.

    Learning Practice

  • 8.2.1

    Positive And Negative Numbers

    This section introduces the concepts of positive and negative numbers in the context of binary and hexadecimal systems.

    Learning Practice

  • 8.2.2

    Sign Magnitude

    This section discusses the representation of integers in computing using sign magnitude and two's complement formats, highlighting their differences and implications.

    Learning Practice

  • 8.2.3

    Two’s Complement

    Two's complement is a binary number representation used for encoding negative integers, allowing for straightforward binary addition and subtraction operations.

    Learning Practice

  • 8.3

    Overflow Situations

    This section discusses the concepts of representing numbers in binary and hexadecimal systems, including strategies for dealing with overflow situations in computer calculations.

    Learning Practice

  • 8.3.1

    Addition And Overflow

    This section covers binary addition, hexadecimal representation, and how overflow occurs during arithmetic operations in digital systems.

    Learning Practice

  • 8.3.2

    Detection Of Overflow

    This section discusses how overflow occurs in binary arithmetic and how to detect it.

    Learning Practice

  • 8.4

    Real Number Representation

    This section discusses how real numbers are represented in computer systems, particularly focusing on binary, hexadecimal, and two's complement notation.

    Learning Practice

  • 8.4.1

    Fixed Point Vs Floating Point

    This section explores the differences between fixed point and floating point representations of numerical data in computers.

    Learning Practice

  • 8.4.2

    Floating Point Representation

    This section discusses floating point representation, focusing on how numbers are represented in binary format, particularly within hexadecimal and two's complement systems.

    Learning Practice

References

ch3 part b.pdf

Class Notes

Memorization

What we have learnt

  • Numbers in computers are pr...
  • Positive and negative integ...
  • Floating-point representati...

Final Test

Revision Tests