Mathematical rules are based on the defining limits we place on the particular numerical quantities dealt with. When we say…
Let us begin our exploration of Boolean algebra by adding numbers together: The first three sums make perfect sense to…
In mathematics, an identity is a statement true for all possible values of its variable or variables. The algebraic identity of x…
Let’s begin with a semiconductor gate circuit in need of simplification. The “A,” “B,” and “C” input signals are assumed…
One element conspicuously missing from the set of Boolean operations is that of Exclusive-OR. Whereas the OR function is equivalent…
Another type of mathematical identity, called a “property” or a “law,” describes how differing variables relate to each other in…
Boolean algebra finds its most practical use in the simplification of logic circuits. If we translate a logic circuit’s function…
A mathematician named DeMorgan developed a pair of important rules regarding group complementation in Boolean algebra. By group complementation, I’m referring to…
In designing digital circuits, the designer often begins with a truth table describing what the circuit should do. The design…
