Unit 2: Electricity, binary numbers, digital logic, integrated circuits

Objectives:

In this unit we will study the mathematical and logical foundations how electricity powers work and stores / processes information. We will start with the physics of electrical current and then move to number theory. Then we will learn how electrical charges can be harnessed to store and compute information. Then we will explore how hardware such as Logic Gates and Flip Flops can be combined to build digital computing systems.

Key Concepts:

Mathematical relationship between volts, ams, watts, and ohms.

Series and Parallel circuits.

Decimal, Binary, and Hexadecimal Number Systems

  • Reading Number Systems

  • Conversion between number systems

  • Math operations on binary systems

Representation of Logic through Boolean Algebra

  • AND, OR, NOT, NAND, NOR

Data Storage Elements

  • SR Flip-Flop

  • D Flip-Flop

  • JK Flip-Flop

  • T Flip-Flop

Relationship between Boolean Algebra, Binary numbers, logic gates, and digital systems.