Truth Tables & Logic Statements - GCSE Computer Science (OCR)

Courses GCSE Computer Science Logic Gates Truth Tables & Logic Statements

What is the truth value of the statement 'p AND q' if p is true and q is false?

{"answers": {"A": "true only if p is false", "B": "true only if q is true", "C": "false", "D": "true"}, "question_text": "What is the truth value of the statement 'p AND q' if p is true and q is false?", "correct_answer": "C"}

Compound Statements

Truth Tables

p	q	p AND q	p OR q	NOT p
True	True	True	True	False
True	False	False	True	False
False	True	False	True	True
False	False	False	False	True

Logic Statements

A compound statement combines multiple individual statements using logical operators such as AND, OR, and NOT.

For example:

p AND q: The statement is true only if both p and q are true.
p OR q: The statement is true if either p or q is true, or if both are true.
NOT p: The statement reverses the truth value of p. If p is true, NOT p is false; if p is false, NOT p is true.

**One important point:** `NOT p` does not depend on `q`, so its values simply alternate based on whether `p` is true or false.

What is the truth value of the logical statement 'P AND Q' when P is true and Q is false?

{"answers": {"A": "False", "B": "False only if Q is false", "C": "True only if P is true", "D": "True"}, "question_text": "What is the truth value of the logical statement 'P AND Q' when P is true and Q is false?", "correct_answer": "A"}

Which of the following is the correct truth table for the logical operator 'OR'?

{"answers": {"A": "P | Q | P OR Q\nT | T | F\nT | F | F\nF | T | T\nF | F | T", "B": "P | Q | P OR Q\nT | T | T\nT | F | F\nF | T | F\nF | F | T", "C": "P | Q | P OR Q\nT | T | T\nT | F | T\nF | T | T\nF | F | F", "D": "P | Q | P OR Q\nT | T | F\nT | F | T\nF | T | F\nF | F | F"}, "question_text": "Which of the following is the correct truth table for the logical operator 'OR'?", "correct_answer": "C"}

What is the truth value of the logical statement 'NOT P' when P is true?

{"answers": {"A": "False", "B": "True", "C": "Not applicable", "D": "Unknown"}, "question_text": "What is the truth value of the logical statement 'NOT P' when P is true?", "correct_answer": "A"}

Compound Statements

Truth Tables

p	q	p AND q	p OR q	NOT p
True	True	True	True	False
True	False	False	True	False
False	True	False	True	True
False	False	False	False	True

Logic Statements

A compound statement combines multiple individual statements using logical operators such as AND, OR, and NOT.

For example:

p AND q: The statement is true only if both p and q are true.
p OR q: The statement is true if either p or q is true, or if both are true.
NOT p: The statement reverses the truth value of p. If p is true, NOT p is false; if p is false, NOT p is true.

**One important point:** `NOT p` does not depend on `q`, so its values simply alternate based on whether `p` is true or false.

What is the correct truth table for the logical OR operator with inputs A and B?

{"answers": {"A": "A B | A OR B\nF F | F\nF T | T\nT F | T\nT T | T", "B": "A B | A OR B\nF F | F\nF T | F\nT F | T\nT T | T", "C": "A B | A OR B\nF F | T\nF T | F\nT F | T\nT T | T", "D": "A B | A OR B\nF F | T\nF T | T\nT F | F\nT T | F"}, "question_text": "What is the correct truth table for the logical OR operator with inputs A and B?", "correct_answer": "A"}

Which of the following represents the logical NOT operator?

{"answers": {"A": "==", "B": "!", "C": "&&", "D": "||"}, "question_text": "Which of the following represents the logical NOT operator?", "correct_answer": "B"}

What is the output of the expression 'true && false'?

{"answers": {"A": "undefined", "B": "false", "C": "error", "D": "true"}, "question_text": "What is the output of the expression 'true && false'?", "correct_answer": "B"}