2.4 - Boolean Logic

Question 1

Why is data represented in binary form?

Answer 1

Data is represented in binary form because computers are made of millions of transistors (tiny switches that can be either turned ON 1 or turned OFF 0)

Question 2

What are logical operators?

Answer 2

Symbols used to represent circuits of transistors, E.G:
- NOT
- AND
- OR

Question 3

What is a truth table used for?

Answer 3

Showing all possible inputs and the associated output for each input

Question 4

What is the NOT (negotiation) logical operator?

Answer 4

• Outputs the opposite of the input
• Symbol: ¬

Question 5

What is the truth table for a NOT logical operator?

Answer 5

A | ¬A
0 | 1
1 | 0

Question 6

What is the AND (conjunction) logic operator?

Answer 6

• Outputs 1 only if both inputs are also 1
• Symbol: ^

Question 7

What is the truth table for an AND logical operator?

Answer 7

A | B | A^B
0 | 0 | 0
0 | 1 | 0
1 | 0 | 0
1 | 1 | 1

Question 8

What is the OR (disjunction) logic operator?

Answer 8

• Outputs 1 if either input is 1
• Symbol: v

Question 9

What is the truth table for an OR logical operator?

Answer 9

A | B | A^B
0 | 0 | 0
0 | 1 | 1
1 | 0 | 1
1 | 1 | 1