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Logic Design Lecture 2: Logic Gates and Boolean Functions

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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) 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 Signup and view all the answers

Which of the following is NOT a basic logic gate in Boolean algebra?

NXOR gate Signup and view all the answers

How many possible combinations of inputs A and B are there in the circuit?

4 Signup and view all the answers

What is the expression for the AND gate in the system?

A.B Signup and view all the answers

What is the expression for the NOR gate in the system?

A+B Signup and view all the answers

What is the final output expression for the entire system?

(A.B) + (A+B) Signup and view all the answers

What is the truth table for the function $F_4 = x'y'z + x'yz + xy'$?

A truth table is not provided for $F_4$. Signup and view all the answers

Which of the following is a correct way to draw a digital circuit from the Boolean expression $A(B+ AB) + AC (A+ B)(A+ B)$?

Using AND, OR and NOT gates. Signup and view all the answers