Computer Organisation and Architecture - Vol 1 | 9. Floating Point Number Representation by Abraham | Learn Smarter
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9. Floating Point Number Representation

This chapter discusses number representation in computers, focusing on floating-point representation, biased exponents, and normalization. It highlights the IEEE 754 standard for both single (32-bit) and double (64-bit) formats, while also covering integer and character representations through various coding systems like ASCII, EBCDIC, and UNICODE. Furthermore, it addresses accuracy and range related to floating-point numbers, and introduces different number encoding in computing.

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Sections

  • 9.1

    Floating Point Number Representation

    This section explores the representation of floating-point numbers in computers, focusing on the structure of 32-bit and 64-bit formats as per IEEE standards.

    Learning Practice

  • 9.1.1

    Components Of Floating Point Representation

    This section outlines the essential components of floating-point representation in computing, including the sign bit, exponent, and significand.

    Learning Practice

  • 1.2

    Biased Exponent

    This section explains the concept of biased exponents in floating-point number representation, detailing their structure and purpose.

    Learning Practice

  • 9.1.3

    Normalization Process

    The normalization process in floating-point representation involves organizing numbers into a standard format using sign bits, biased exponent, and significand.

    Learning Practice

  • 9.1.4

    Ranges And Accuracy Of Floating Point Numbers

    This section discusses the representation of floating-point numbers, focusing on their range, accuracy, and the IEEE 754 standard.

    Learning Practice

  • 9.1.5

    Ieee 754 Format

    This section covers the IEEE 754 standard for floating-point representation, explaining the structure and components of both single and double precision formats.

    Learning Practice

  • 9.1.6

    Excess Codes And Grey Code

    This section discusses floating point representation, focusing on excess (biased) codes and GREY code, highlighting their applications and advantages in minimizing errors during numerical transitions.

    Learning Practice

  • 9.1.7

    Binary Coded Decimal (Bcd)

    This section discusses the Binary Coded Decimal (BCD) representation, emphasizing how decimal digits are stored in binary form and the significance of storing numbers efficiently in digital systems.

    Learning Practice

  • 9.2

    Character Representation

    This section outlines the representation of numbers in computing, focusing on floating-point representation, biasing, and character encoding standards.

    Learning Practice

  • 9.2.1

    Ascii And Ebcdic

    This section covers the representation of characters in computers using ASCII and EBCDIC encoding standards.

    Learning Practice

  • 9.2.2

    Introduction To Unicode

    The section covers the concept of Unicode, its significance in computer representation of characters, and how it allows for a more comprehensive coding system across various languages and symbols.

    Learning Practice

  • 9.3

    Test Items And Objectives

    This section outlines the representation of test items and objectives related to floating-point numbers and their encoding in computers.

    Learning Practice

  • 9.3.1

    Decimal Number Conversion Tasks

    This section discusses the conversion of decimal numbers to floating-point representations, focusing on significant, exponent, and sign bit components in a 32-bit format.

    Learning Practice

  • 9.3.2

    Integer Representation Queries

    This section discusses the concept of floating-point representation in computers, focusing on the structure of numbers in IEEE 754 format.

    Learning Practice

  • 9.3.3

    Precision Of Real Numbers

    This section discusses the representation and precision of real numbers in computers, focusing on floating-point representation and the IEEE 754 standard.

    Learning Practice

  • 9.3.4

    Character Representation Handling

    This section discusses character representation in computing, focusing on various codes such as ASCII and Unicode, as well as their significance in encoding information.

    Learning Practice

  • 9.3.5

    Unicode Size Inquiry

    This section delves into the representation of floating-point numbers in computer systems, emphasizing the use of biased exponents and normalization.

    Learning Practice

References

ch3 part c.pdf

Class Notes

Memorization

What we have learnt

  • Floating-point numbers cons...
  • IEEE 754 specifies the form...
  • Various coding systems such...

Final Test

Revision Tests