Binary, denary and hexadecimal

Question 2

What is Boolean logic?

Answer 2

A form of algebra in which all values are reduced to either true or false.

Question 3

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

Answer 3

False

Question 4

Fill in the blank: The basic operations of Boolean logic are AND, OR, and ____.

Answer 4

NOT

Question 5

What does the AND operator do in Boolean logic?

Answer 5

It returns true only if both operands are true.

Question 6

True or False: The NOT operator inverts the value of its operand.

Answer 6

True

Question 7

What is the outcome of the expression TRUE AND FALSE?

Answer 7

FALSE

Question 8

What is the outcome of the expression TRUE OR FALSE?

Answer 8

TRUE

Question 9

What is the result of NOT TRUE?

Answer 9

FALSE

Question 10

True or False: In Boolean logic, the expression A AND NOT A is always TRUE.

Answer 10

False

Question 11

What is a truth table?

Answer 11

A table that shows all possible truth values for a set of Boolean variables.

Question 12

Fill in the blank: In Boolean algebra, the expression A OR A is equivalent to ____.

Answer 12

A

Question 13

What is the result of the expression (A OR B) AND (A OR NOT B)?

Answer 13

A

Question 14

True or False: The expression A AND B is associative.

Answer 14

True

Question 15

What is De Morgan’s Theorem?

Answer 15

It 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 16

What does the XOR operator do?

Answer 16

It returns true if one operand is true and the other is false.

Question 17

Which of the following is a property of Boolean addition? A) Commutative B) Non-commutative

Answer 17

A) Commutative

Question 18

Fill in the blank: In Boolean logic, TRUE is represented by ____ and FALSE is represented by ____.

Answer 18

1; 0

Question 19

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

Answer 19

A AND B OR A AND C (distributive law)

Question 20

True or False: In Boolean logic, A OR NOT A always equals TRUE.

Answer 20

True

Question 21

What is a minterm?

Answer 21

A product term in a Boolean expression that corresponds to a single row in a truth table where the output is true.

Question 22

What does the term ‘canonical form’ refer to in Boolean expressions?

Answer 22

A standardized way of expressing a Boolean function using minterms or maxterms.

Question 23

True or False: The expression A AND (B AND C) is equivalent to (A AND B) AND C.

Answer 23

True

Question 24

What is the result of the expression NOT (A OR B)?

Answer 24

NOT A AND NOT B (De Morgan’s Theorem)

Question 25

Fill in the blank: In a truth table for three variables, there are ____ possible combinations of truth values.

Answer 25

8

Question 26

What is the main use of Boolean logic in computer science?

Answer 26

To perform logical operations in programming and digital circuit design.