Category: 5. Boolean Algebra

The Sum of Product expression is equivalent to the logical AND fuction which Sums two or more Products to produce an output. Boolean Algebra is a simple and effective way of representing the switching action of standard logic gates and a set of rules or laws have been invented to help reduce the number of…

DeMorgan´s Theorem and Laws can be used to to find the equivalency of the NAND and NOR gates DeMorgan’s Theorem uses two sets of rules or laws to solve various Boolean algebra expressions by changing OR’s to AND’s, and AND’s to OR’s Boolean Algebra uses a set of laws and rules to define the operation of a digital logic circuit with…

Boolean Algebra examples of how to reduce the number of digital gates using Boolean Algebra Laws In this Boolean Algebra examples tutorial we will see that the Laws of Boolean Algebra can be used to identify unnecessary logic gates within a digital logic design reducing the number of gates required saving on both power consumption…

Boolean Algebra Expressions can be used to construct digital logic truth tables for their respective functions As well as a standard Boolean Expression, the input and output information of any Logic Gate or circuit can be plotted into standard Boolean Algebra truth tables to give a visual representation of the switching function of the system. The table…

Boolean Algebra uses a set of Laws and Rules to define the operation of a digital logic circuit A set of rules or Laws of Boolean Algebra expressions have been invented to help reduce the number of logic gates needed to perform a particular logic operation resulting in a list of functions or theorems known…

The Logic NOR Function output is only true when all of its inputs are false, otherwise the output is always false The logic NOR function is a combination of two separate logic functions, the Not function and the OR function (NOT-OR) connected together to form one single logic function which is the same as the…

The Logic NAND Function output is only false when all of its inputs are true, otherwise the output is always true The logic NAND function is a combination of the two separate logical functions, the AND function and the NOT function (NOT-AND) in series. The logic NAND function can be expressed by the Boolean expression…

The Logic NOT Function output is true when its single input is false, and false when its single input is true The Logic NOT Function is simply a single input inverter that changes the input of a logic level “1” to an output of logic level “0” and vice versa. The “logic NOT function” is so called…

The Logic OR function output is only true if one or more of its inputs are true, otherwise the output is false The Logic OR Function function states that an output action will become TRUE if either one “OR” more events are TRUE, but the order at which they occur is unimportant as it does not affect…

The Logic & Function output is only true when all of its inputs are true, otherwise the output is false Boolean Algebra is based around logical functions in which each Boolean function, such as the logic AND function, typically has one or more input values and produces an output result based on these input values.…