The book has 10 chapters. Chapter 1 covers the introduction. Chapter 2 presents the memristor logic gates. Chapter 3 discussed the adder arithmetic units. Chapter 4 and 5 covers the multiplier arithmetic units and divider arithmetic units. Chapter 6 is for memristor-based adder designs. Chapter 7 and 8 is intended for memristor-based multiplier designs and memristor-based divider designs. Chapter 9 discussed the proposed future work and chapter 10 covers the overall conclusion of the book.