BTEC Computing Unit 18: Discrete Mathematics Assignment Solution

This document presents a comprehensive solution to a Discrete Mathematics assignment for a BTEC Higher National Diploma in Computing, specifically Unit 18. The assignment covers a wide range of topics including set theory, functions, graph theory, Boolean algebra, and abstract algebra, all applicable to software engineering principles. The solution provides detailed answers to problems involving set operations, function analysis, graph algorithms (like Dijkstra's), Boolean expression simplification and circuit design using K-Maps, and the application of these concepts to real-world scenarios. The assignment is divided into four activities, each addressing different learning outcomes related to the course, and includes proofs, algorithm implementations, and practical applications of theoretical concepts. The document provides a complete and detailed response to the assignment questions, demonstrating a strong understanding of discrete mathematics principles.