Education 7.9 Converting Truth Tables into Boolean Expressions adminJan 29, 20200 In designing digital circuits, the designer often begins with a truth table describing what the circuit should do. The...

Education 7.8 DeMorgan’s Theorems adminJan 29, 20200 A mathematician named DeMorgan developed a pair of important rules regarding group complementation in Boolean algebra....

Education 7.7 The Exclusive-OR Function: The XOR Gate adminJan 29, 20200 What Is a XOR Gate? One element conspicuously missing from the set of Boolean operations is that of Exclusive-OR, often...

Education 7.6 Circuit Simplification Examples adminJan 29, 20200 Let’s begin with a semiconductor gate circuit in need of simplification. The “A,” “B,” and “C” input...

Education 7.5 Boolean Rules for Simplification adminJan 29, 20200 Boolean algebra finds its most practical use in the simplification of logic circuits. If we translate a logic...

Education 7.4 Boolean Algebraic Properties adminJan 29, 20200 The Commutative Property Another type of mathematical identity, called a “property” or a “law,” describes how...

Education 7.3 Boolean Algebraic Identities adminJan 29, 20200 In mathematics, an identity is a statement true for all possible values of its variable or variables. The algebraic...

Education 7.2 Boolean Arithmetic adminJan 29, 20200 Let us begin our exploration of Boolean algebra by adding numbers together: The first three sums make perfect sense to...

Education 7.1 Introduction to Boolean Algebra adminJan 29, 20200 Mathematical rules are based on the defining limits we place on the particular numerical quantities dealt with. When we...

Education 6.6 Programmable Logic Controllers (PLC) adminJan 29, 20200 Before the advent of solid-state logic circuits, logical control systems were designed and built exclusively around...

Education 6.5 Fail-safe Design adminJan 29, 20200 Logic circuits, whether comprised of electromechanical relays or solid-state gates, can be built in many different ways...

Education 6.4 Motor Control Circuits adminJan 29, 20200 The interlock contacts installed in the previous section’s motor control circuit work fine, but the motor will run...

Education 6.3 Permissive and Interlock Circuits adminJan 29, 20200 A practical application of switch and relay logic is in control systems where several process conditions have to be met...

Education 6.2 Digital Logic Functions adminJan 29, 20200 We can construct simple logic functions for our hypothetical lamp circuit, using multiple contacts, and document these...

Education 6.1 Ladder Diagrams adminJan 29, 20200 Ladder diagrams are specialized schematics commonly used to document industrial control logic systems. They are called...