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.
Enroll to start learning
You've not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- Floating-point numbers consist of three components: sign bit, biased exponent, and significand.
- IEEE 754 specifies the formatting for floating-point numbers, impacting precision and range.
- Various coding systems such as ASCII and UNICODE are essential for character representation in computers.
Key Concepts
- -- Floating Point Representation
- A method of representing real numbers in computers that includes a sign, a significand, and an exponent.
- -- Biased Exponent
- An adjustment of the exponent in floating-point representation, which allows storing both positive and negative exponents as positive numbers.
- -- IEEE 754 Standard
- A technical standard for floating-point computation which defines formats for representing floating point numbers, including precision and rounding.
- -- UNICODE
- A character encoding standard that assigns a unique number to every character for consistent representation across different systems.
Additional Learning Materials
Supplementary resources to enhance your learning experience.