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Level 4 Diploma in Cyber Security

Number bases: binary, denary and hexadecimal, and converting between them

CYB402 · Mathematics for Computer Science — Week 1 of 16

CourseCYB402
Week1 of 16
SemesterI
TutorOnline in the course chat

This week’s topics

Number bases: binary, denary and hexadecimal, and converting between them

  1. What is meant by binary representation
  2. How to change between bases

What you will be able to do

  • 1.1 Describe what is meant by binary representation.
  • 1.2 Explain how to change between bases.

Activity

Start with this week’s 4 videos, then: Seminar, guided reading and a short written task: describe what is meant by binary representation.

Study materials

Videos

  • Number bases · Oak National Academy, Key Stage 4 (GCSE level) · for registered students
  • Hexadecimal number conversions · Oak National Academy, Key Stage 4 (GCSE level) · for registered students
  • Number Systems Introduction - Decimal, Binary, Octal & Hexadecimal · YouTube · The Organic Chemistry Tutor · 11 min · for registered students
  • 17. OCR GCSE (J277) 1.2 Converting between denary and 2 digit hexadecimal · YouTube · Craig'n'Dave · 12 min · for registered students

Further resources

  • Contemporary Mathematics, 4.3: Converting with Base Systems · PDF · OpenStax Contemporary Mathematics (2023), 4.3: converting between denary, binary and other bases (hexadecimal from p. 299), pp. 288–299 · for registered students
  • Computer Systems: A Programmer's Perspective, 2.1.1: Hexadecimal · PDF · Bryant & O'Hallaron, CS:APP 2e manuscript sample, 2.1.1 on hexadecimal notation and converting between binary, hex and decimal, pp. 32–35 · for registered students
  • Introduction to Computer Science, 5.1: Data Storage Inside a Computer · PDF · OpenStax Introduction to Computer Science (2024), 5.1 on bits, bytes and megabytes, p. 195 · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
Course chat

Admitted students ask questions on this week’s page in the student portal: an AI assistant trained on the course answers first, and during the course’s timetabled classes Connect to your tutor brings your tutor into the chat, who may start a call if needed.

Open this week in the portal
Course plan
  • Week 1: Number bases: binary, denary and hexadecimal, and convertin…
  • Week 2: Binary in computer science: binary addition and overflow, t…
  • Week 3: Propositional logic: Boolean operators and truth tables
  • Week 4: Set theory: Venn diagrams, notation, union, intersection an…
  • Week 5: Proof techniques: induction and strong induction, contradic…
  • Week 6: Finite fields and modular arithmetic: algebras, identities …
  • Week 7: Number-theoretic theorems (Fermat's little theorem, Euler's…
  • Midterm: Midterm evaluation
  • Week 9: Sequences and series: arithmetic, geometric and harmonic pr…
  • Week 10: Vectors and matrices: matrix multiplication, inverses and s…
  • Week 11: Matrix types and properties (trace, determinant), LU decomp…
  • Week 12: Applying Mathematics for Computer Science in practice: case…
  • Week 13: Assignment workshop: research, planning and referencing
  • Week 14: Assignment workshop: drafting, feedback and improvement
  • Week 15: Review and coursework completion
  • Final: Final assessment and submission
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