Laws of Boolean Algebra | DeMorgan's theorem (Part II) | DE.13

This video tutorial by Practical Ninja covers the remaining laws of modern algebra, focusing on logic gates such as AND and OR gates. It explains the operations of these gates, including scenarios with different inputs and their outputs. The video also delves into commutative, associative, and distributive laws, demonstrating how they apply to Boolean algebra. Additionally, it introduces the Consensus Law and provides tips for simplifying logical expressions. The tutorial concludes with a preview of the next topic on universal gates.

What is the output of an AND gate when one input is a variable and the other is its complement?

• Undefined

• Variable itself

• 0

• 1

In an OR gate, if one input is 0 and the other is a variable x, what determines the output?

• The value of x

• The value of 0

• The complement of x

• The sum of x and 0

What is the output of an OR gate when all inputs are at logic level 1?

• Depends on the number of inputs

• Undefined

• 1

• 0

Which law states that the order of variables does not affect the result in Boolean algebra?

• De Morgan's Theorem

• Commutative Law

• Consensus Law

• Distributive Law

What is the associative law in Boolean algebra?

• x OR y = y AND x

• x AND y = y OR x

• x OR (y AND z) = (x OR y) AND z

• x AND (y AND z) = (x AND y) AND z

What does the distributive law in Boolean algebra allow you to do?

• Simplify expressions by removing variables

• Distribute one variable over an expression

• Change the order of operations

• Combine variables into a single term

What is the Consensus Law in Boolean algebra?

• A law that combines variables into a single term

• A law that changes the order of operations

• A law that allows distribution of variables

• A law that simplifies expressions by removing redundant terms