12 Questions
What does a Boolean variable represent in formal logic?
A variable that can take only the values 0 or 1
What is the purpose of a truth table in Boolean algebra?
To represent the relationship between Boolean variables and their corresponding function values
What is the purpose of a logic diagram in Boolean algebra?
To represent the hardware implementation of a Boolean function using logic gates
What is the Boolean expression for the function represented by the circuit in the given example?
F = (x NAND y) XOR (x NOR z)
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
Which of the following is NOT a basic logic gate in Boolean algebra?
NXOR gate
How many possible combinations of inputs A and B are there in the circuit?
4
What is the expression for the AND gate in the system?
A.B
What is the expression for the NOR gate in the system?
A+B
What is the final output expression for the entire system?
(A.B) + (A+B)
What is the truth table for the function $F_4 = x'y'z + x'yz + xy'$?
A truth table is not provided for $F_4$.
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.
Explore the fundamentals of logic gates, Boolean variables, Boolean functions, and logic diagrams in formal logic. Learn how to communicate with computers using formal logic and understand the mapping from Boolean variables to Boolean outputs.
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