081. OCR A Level (H446) SLR13 – 1.4 Floating point binary part 3 – Recap and further examples

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About this video

OCR Specification Reference
A Level 1.4.1g

This video shows you how to represent and normalise floating point numbers such as 7.5 in binary.

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 binary - Part 3: Recap and further examples
00:07 Intro
00:12 A note about this video
00:33 Fixed binary point vs floating binary point recap
02:37 How to store fractional numbers recap
04:06 Normalised floating point numbers recap
05:37 Normalised floating point binary representation summary
06:18 Representing fractional numbers using normalised floating point binary - Worked examples
07:14 Worked example 1
08:27 Worked example 2
10:09 Worked example 3
11:11 Worked example 4
12:46 Key questions
13:04 Going beyond the specification
13:24 But what about...
14:07 How are numbers stored in computers?
14:52 The IEEE 754 standard for floating point arithmetic
16:41 Reserved exponent values
17:45 The importance of precision and accuracy when calculating and storing fractional numbers
19:47 Outro

Last updated: 06.07.26

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• SLR 13 – Data types