Boolean Algebra

Which of the following is another purpose of Boolean algebra developed by George Boole?

• Manipulation of propositional logic

• Enhancing graphical design

• Improving database management

• Developing artificial intelligence

What is one of the benefits of using Boolean algebra in circuit design?

• Provides economical and straightforward approach

• Increases the complexity of circuits

• Requires more resources

• Slows down the processing speed

What is the 'OR' operator used for in Boolean algebra?

• Logical multiplication

• Logical addition

• Logical subtraction

• Logical division

Which of the following is another form of the Associative Law in Boolean Algebra?

• (a) ( x + (y + z) = (x + y) + z )

• (b) ( x * (y * z) = (x * y) * z )

• (c) ( x * (y + z) = (x * y) + (x * z) )

• (d) ( x + (y * z) = (x + y) * (x + z) )

Which logic gate outputs true only if both inputs are true?

• OR gate

• AND gate

• NOT gate

• XOR gate

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DOK Level 1: Recall

What is the output of a NOR gate if both inputs are 0?

• 0

• 1

• Undefined

• Same as input

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DOK Level 1: Recall

Which logic gate is also known as an inverter?

• AND gate

• OR gate

• NOT gate

• NAND gate

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DOK Level 1: Recall

What is the simplified form of the Boolean expression A ⋅ ¬A?

• A

• 0

• 1

• ¬A

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DOK Level 1: Recall

What is the output of an XOR gate if both inputs are 1?

• 0

• 1

• Undefined

• Same as input

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DOK Level 1: Recall

Which of the following Boolean expressions represents a NAND gate?

• ¬(A + B)

• ¬(A ⋅ B)

• A + ¬B

• ¬A + B

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DOK Level 1: Recall