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Boolean expression is an expression that produces a Boolean value when evaluated, i.e. it produces either a true value or a false value. Whereas boolean variables are variables that store Boolean numbers.
For example, if we write A OR B it becomes a boolean expression. There are many laws and theorems that can be used to simplify boolean algebra expressions so as to optimize calculations as well as improve the working of digital circuits.
Boolean Expression. A logical statement that results in a Boolean value, either be True or False, is a Boolean expression. Sometimes, synonyms are used to express the statement such as ‘Yes’ for ‘True’ and ‘No’ for ‘False’. Also, 1 and 0 are used for digital circuits for True and False, respectively.
A Boolean expression is composed of a combination of the Boolean constants (True or False), Boolean variables and logical connectives. Each Boolean expression represents a Boolean function. Example − $AB’C$ is a Boolean expression.
It is an expression that always yields two values either true or false when evaluated. If the condition is true then it will return true or false and vice versa.
In computer science, a Boolean expression is an expression used in programming languages that produces a Boolean value when evaluated. A Boolean value is either true or false.
So here are a few examples of how we can use Boolean Algebra to simplify larger digital logic circuits. Construct a Truth Table for the logical functions at points C, D and Q in the following circuit and identify a single logic gate that can be used to replace the whole circuit.