Digital Electronics - Vol 1 | 1. Number Systems - Part B by Abraham | Learn Smarter
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1. Number Systems - Part B

The chapter explores key concepts in digital electronics, particularly standards for floating-point representation such as IEEE-754 and IEEE-854. It describes the various formats, including single and double precision, and discusses the ongoing revisions and the importance of these standards in computer systems. Through examples, the chapter illustrates how to convert between binary and floating-point representations, detailing specific calculations for clarity.

Sections

  • 1.14

    Digital Electronics

    This section provides an overview of the IEEE-754 standard for floating-point representation, alongside its revisions and characteristics related to binary and decimal arithmetic.

    Learning Practice

  • 1.14.1

    Ansi/ieee-754 Format

    The IEEE-754 format is a widely adopted standard for representing floating-point numbers in computing.

    Learning Practice

  • 1.14.2

    Ieee-754r Format

    The IEEE-754r format extends the IEEE-754 standard for floating-point representation to include new formats and decimal representation.

    Learning Practice

  • 1.14.3

    Ieee-854 Standard

    The IEEE-854 standard specifies a framework for radix-independent floating-point arithmetic, unlike the IEEE-754 standard.

    Learning Practice

  • 1.14.4

    Example 1.11

    This section explains the IEEE-754 floating point representation, focusing on the single-precision format, and the process of converting decimal numbers into floating-point format.

    Learning Practice

  • 1.14.5

    Review Questions

    This section presents a set of review questions that test knowledge and understanding of floating-point number representation standards and related concepts.

    Learning Practice

  • 1.14.6

    Problems

    This section presents various problems related to conversions and representations in digital electronics, focusing on the IEEE-754 standard.

    Learning Practice

  • 1.14.7

    Further Reading

    This section lists recommended readings and resources that provide deeper insight into digital logic design and floating-point arithmetic.

    Learning Practice

References

chapter 1 part B.pdf

Class Notes

Memorization

What we have learnt

  • The IEEE-754 standard provi...
  • Different formats of floati...
  • Updates in IEEE-754r and th...

Final Test

Revision Tests