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
Navigate through the learning materials and practice exercises.
What we have learnt
- The IEEE-754 standard provides a framework for representing floating-point numbers in computer systems.
- Different formats of floating-point representation include single precision, double precision, and their extended forms.
- Updates in IEEE-754r and the introduction of IEEE-854 highlight the evolution of standards to accommodate both binary and decimal data.
Key Concepts
- -- IEEE754 Standard
- A standard for floating-point arithmetic that ensures consistency in the representation and manipulation of real numbers in digital computers.
- -- FloatingPoint Format
- A way of representing real numbers in computers that can accommodate a wide range of values through the use of a sign bit, exponent, and mantissa.
- -- Bias in Exponent
- A method used in floating-point representation to allow for negative and positive exponent values, facilitating a wider range of representable numbers.
- -- Decimal Formats
- New representations introduced in the revision of IEEE-754 to accurately handle decimal data in computing environments.
Additional Learning Materials
Supplementary resources to enhance your learning experience.