083. AQA A Level SLR11 Floating point normalisation – Recap


About this video

AQA Specification Reference
A Level 4.5.7.8

This video continues our journey into binary floating point representation by working through some additional examples of normalisation.

Key questions:

- How does a computer store fractions (real numbers)?
- What do we mean by a normalised floating-point binary number?
- How do you normalise both positive and negative floating-point binary numbers?

00:00 Floating point normalisation - Recap
00:06 Intro
00:11 Fixed binary point vs floating binary point recap
01:49 How to store fractional numbers recap
03:24 Normalised floating-point numbers recap
04:52 Normalised floating-point binary representation summary
05:31 Representing fractional numbers using normalised floating-point binary - worked examples
06:19 Worked example 1
07:25 Worked example 2
09:00 Worked example 3
09:58 Worked example 4
11:16 Key questions
11:33 Going beyond the specification
11:42 But what about...
12:43 How are numbers stored in computers?
13:05 The IEEE 754 standard for floating-point arithmetic
14:10 Reserved exponent values
15:07 Outro

Last updated: 04.09.25