There is a standard, cookbook algorithm to get a Boolean algebra expression for a circuit from a truth table. It is guaranteed to work, although it might be tedious and require a lot of gates.

In a Boolean expression, each variable’s appearance in either its non-complemented or complemented form is called a literal. A literal represents the connection of a variable or its …

Boolean algebra is the fundamental mathematics applied to the analysis and synthesis of digital systems. Because of its application to two-value systems, it is also called switching algebra.

Boolean values in Scheme are #t and #f for true and false. In hardware, it is customary to use 1 for true and 0 for false, so we will shift to that convention for this topic.

Jan 30, 2007 · Digital System Design Jens Peter KapsLaws and Rules of Boolean Algebra

The algebraic formulation of propositional logic is called Boolean algebra. (We’ll come back to this.)

Here is a list of identiies that you are familiar with, written in Boolean notation. You can make these into exercises by either translating them into logic or set notation and seeing that they …