Boolean Logic

Question 1

What is the basic unit of Boolean logic?

Answer 1

The basic unit of Boolean logic is a Boolean variable.

Question 2

True or False: In Boolean logic, the value of a variable can be both true and false at the same time.

Answer 2

False

Question 3

Fill in the blank: The three primary operations in Boolean logic are AND, OR, and _____ .

Answer 3

NOT

Question 4

What is the result of the AND operation if one operand is true and the other is false?

Answer 4

False

Question 5

What is the result of the OR operation if both operands are false?

Answer 5

False

Question 6

True or False: The NOT operation inverts the value of a Boolean variable.

Answer 6

True

Question 7

What is the truth value of the expression A AND B if A is true and B is true?

Answer 7

True

Question 8

What does a truth table represent?

Answer 8

A truth table represents all possible values of Boolean variables and the result of their operations.

Question 9

What is the outcome of the expression NOT (A AND B) when A is true and B is false?

Answer 9

True

Question 10

Fill in the blank: In Boolean algebra, the operation A OR B is equivalent to _____ if both A and B are false.

Answer 10

False

Question 11

What is the identity element for the AND operation?

Answer 11

True

Question 12

What is the identity element for the OR operation?

Answer 12

False

Question 13

True or False: The expression A OR NOT A is always true.

Answer 13

True

Question 14

What is the complement of a Boolean variable?

Answer 14

The complement of a Boolean variable is its NOT value.

Question 15

What is the result of the expression A AND (B OR C) if A is false?

Answer 15

False

Question 16

Which operation is represented by the symbol ‘∧’?

Answer 16

AND

Question 17

Which operation is represented by the symbol ‘∨’?

Answer 17

OR

Question 18

What is the result of the expression (A OR B) AND (A OR NOT B) when A is true and B is false?

Answer 18

True

Question 19

Fill in the blank: In Boolean logic, the law of _____ states that A OR A = A.

Answer 19

Idempotence

Question 20

What is De Morgan’s Theorem?

Answer 20

De Morgan’s Theorem states that NOT (A AND B) is equivalent to (NOT A) OR (NOT B), and NOT (A OR B) is equivalent to (NOT A) AND (NOT B).

Question 21

What is the result of the expression A AND NOT A?

Answer 21

False

Question 22

True or False: The expression A OR (B AND C) is the same as (A OR B) AND (A OR C).

Answer 22

False

Question 23

What is a Boolean function?

Answer 23

A Boolean function is a function that delivers a Boolean output based on Boolean inputs.

Question 24

What is the significance of a Karnaugh map?

Answer 24

A Karnaugh map is used to simplify Boolean expressions.

Question 25

Fill in the blank: The term for a variable that can take on only two possible values in Boolean logic is _____ .

Answer 25

Boolean

Question 26

What is the role of a multiplexer in digital circuits?

Answer 26

A multiplexer selects one of several input signals and forwards the selected input into a single line.