Number System | CSO | Floating Point Representation | Part-5 | By Jaishree Gupta | Gate 2023 | CS/IT

Описание: In this lecture, we will continue our discussion about the Number System Theory.

A floating-point system can be used to represent, with a fixed number of digits, numbers of different orders of magnitude: e.g. the distance between galaxies or the diameter of an atomic nucleus can be expressed with the same unit of length. The result of this dynamic range is that the numbers that can be represented are not uniformly spaced; the difference between two consecutive representable numbers grows with the chosen scale.

Single-precision floating-point numbers: the green lines mark representable values.
Over the years, a variety of floating-point representations have been used in computers. In 1985, the IEEE 754 Standard for Floating-Point Arithmetic was established, and since the 1990s, the most commonly encountered representations are those defined by the IEEE.

The speed of floating-point operations, commonly measured in terms of FLOPS, is an important characteristic of a computer system, especially for applications that involve intensive mathematical calculations.

A floating-point unit (FPU, colloquially a math coprocessor) is a part of a computer system specially designed to carry out operations on floating-point numbers.

The topics which are covered in this lecture are:
1. How to represent zero?
2. What is the special value of the IEEE - 754 single-precision format?
3. What is the largest normalized value of the IEEE - 754 single-precision formats?
4. What is the second-largest normalized value of the IEEE - 754 single-precision formats?
5. What is the smallest positive normalized value of the IEEE - 754 single-precision formats?
6. What is a biasing value?
7. What is the difference between successive representable numbers?
8. What is IEEE - 754 Double-precision format/ standard?

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Floating Point Representation - floating-point representation - fixed point.

Floating-point representation - IEEE

Mantissa And Exponent In Floating-Point Representation In Hindi -.

Fixed point and floating-point representation in computer architecture.

Floating-point representation: for example.

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