CCE WEEK 5 Flashcards
What are Boolean Postulates?
Boolean Postulates are rules governing logical operations in Boolean Algebra, including logical OR, logical AND, and logical NOT operations.
What are Boolean Theorems, and how many types are there?
Boolean Theorems are propositions used to simplify Boolean expressions. There are two types: Duality Theorem and De Morgan’s Theorem.
What is the Duality Theorem in Boolean Algebra?
The Duality Theorem states that the dual of a Boolean function is obtained by interchanging the logical AND operator with the logical OR operator and zeros with ones. It applies to all Boolean functions.
What is De Morgan’s Theorem in Boolean Algebra?
De Morgan’s Theorem states that the complement of the logical OR of at least two Boolean variables is equal to the logical AND of each complemented variable. It helps find the complement of a Boolean function.
How can you simplify a Boolean expression using De Morgan’s Theorem?
To simplify a Boolean expression using De Morgan’s Theorem, break the longest bar (complement) first, change the addition operator to multiplication, and apply Boolean identity rules as needed.
What are the three basic logic circuits used in digital electronics?
The three basic logic circuits are the AND gate, OR gate, and NOT gate.
What is the function of an OR gate in digital electronics?
An OR gate produces a high output (1) if one or more of its inputs are high (1). It follows the logical OR operation.
What is the function of an AND gate in digital electronics?
An AND gate produces a high output (1) only if all its inputs are high (1). It follows the logical AND operation.
What is the function of a NOT gate in digital electronics?
A NOT gate produces an inverted version of the input at its output. It changes 1 to 0 and vice versa.
How can Boolean Laws, Rules, Postulates, and Theorems be used in logic circuit simplification?
Boolean Laws, Rules, Postulates, and Theorems can be used to simplify Boolean expressions and design logic circuits more efficiently.
What is the simplified expression for F = A + AB + BC + BC’?
The simplified expression for F = A + AB + BC + BC’ is F = A + B.
How can you simplify the expression F = A + B (C + C’) using Boolean rules?
F = A + B (C + C’) simplifies to F = A + B using the rules C + C’ = 1 and B * 1 = B.
