In this screencast we look at how to set up a 2-variable Karnaugh map, followed by an example of simplifying a particular Boolean expression and simplifying its negation, using a 2-variable Karnaugh map

Worked example for how to solve simultaneous equations

This screencast solves a system of two equations in two unknowns by first writing the equations in matrix form and then using matrix inversion to find the solution; the general method for finding the inverse of a 2x2 matrix by hand is explained.

Worked examples showing the procedures for addition, subtraction, multiplication and division

Given a diagram of a particular switching circuit, we start by identifying a Boolean function to represent it. We then find the negation of the switching circuit and finally, the simplest possible expression for it using Boolean algebra and a Karnaugh map

This screencast demonstrates how the Economy Rule can be used to obtain a mininal spanning tree with application to a specific example of a cost minimisation problem for connecting four cities at minimum cost

Explanation of the general method of multiplying two matrices and when matrix multiplication is defined, together with a specific example of matrix multiplication.

This screencast discusses when matrix addition is defined and how it is carried out in general. This is then applied to an example involving three matrices where only two of them can be added.

With reference to a specific example, this screencast demonstrates how to use a 4-variable Karnaugh map and De Morgan's laws to simplify a Boolean expression of 4 variables both into a 'sum of products' and a 'product of sums'

In this recording, we look at how to identify '8-squares', '4-squares', '2-squares' and '1-squares' in a 4-variable Karnaugh map, with reference to the different ways each of these type of groupings can appear and how to write the corresponding Boolean ex