What are the two truth values in Boolean logic?
True and false, usually denoted by 1 and 0.
What is the Boolean operator AND also called?
Conjunction, denoted as ∧.
What is the Boolean operator OR also called?
Disjunction, denoted as ∨.
What is the Boolean operator NOT also called?
Negation, denoted as ¬.
What is the result of TRUE AND FALSE?
FALSE.
What is the result of TRUE OR FALSE?
TRUE.
What is the result of NOT TRUE?
FALSE.
What is the result of NOT FALSE?
TRUE.
What is the result of TRUE AND TRUE?
TRUE.
What is the result of FALSE OR FALSE?
FALSE.
In Boolean algebra, what do 1 and 0 represent?
They represent the truth values true and false, respectively.
Who introduced Boolean algebra and in which book?
George Boole introduced it in his book 'The Mathematical Analysis of Logic' (1847).
How does Boolean algebra differ from elementary algebra?
Boolean algebra uses truth values (true/false) and logical operators (AND, OR, NOT), while elementary algebra uses numbers and arithmetic operators.
What is the Boolean satisfiability problem (SAT)?
It is the problem of determining whether the variables of a given Boolean formula can be assigned to make the formula evaluate to true.
What is a truth table?
A table that shows all possible input combinations and the corresponding output for a Boolean expression.
What is the output of an AND gate when both inputs are 1?
1 (true).
What is the output of an OR gate when at least one input is 1?
1 (true).
What is the output of a NOT gate when the input is 1?
0 (false).
How is Boolean logic used in programming conditions?
It is used to combine conditions with AND, OR, and NOT to control the flow of a program.
How is Boolean logic used in search queries?
It allows combining keywords with AND, OR, and NOT to refine search results.
What is the result of (TRUE AND FALSE) OR TRUE?
TRUE, because TRUE AND FALSE is FALSE, and FALSE OR TRUE is TRUE.
What is the result of NOT (TRUE OR FALSE)?
FALSE, because TRUE OR FALSE is TRUE, and NOT TRUE is FALSE.
What is the result of (NOT FALSE) AND TRUE?
TRUE, because NOT FALSE is TRUE, and TRUE AND TRUE is TRUE.
What is the result of (TRUE OR TRUE) AND (FALSE OR FALSE)?
FALSE, because TRUE OR TRUE is TRUE, FALSE OR FALSE is FALSE, and TRUE AND FALSE is FALSE.