Logic Design Lecture 2: Logic Gates and Boolean Functions

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Questions and Answers

What does a Boolean variable represent in formal logic?

A variable that can take any integer value
A variable that can take only the values 0 or 1 (correct)
A variable that can take any value in the range [0, 1]
A variable that can take any real value

What is the purpose of a truth table in Boolean algebra?

To illustrate the hardware implementation of a Boolean function
To represent the relationship between Boolean variables and their corresponding function values (correct)
To define the rules of Boolean algebra
To provide a list of all possible combinations of binary inputs

What is the purpose of a logic diagram in Boolean algebra?

To enumerate all possible combinations of binary inputs and outputs
To define the rules of Boolean algebra
To provide a visual representation of a Boolean function
To represent the hardware implementation of a Boolean function using logic gates (correct)

What is the Boolean expression for the function represented by the circuit in the given example?

F = (x NAND y) XOR (x NOR z) (D) Signup and view all the answers

What is the difference between a Boolean function and a logic diagram?

A Boolean function is a mapping from Boolean variables to a Boolean value, while a logic diagram is a circuit sketch (D) Signup and view all the answers