Write the truth table for a 2-input conjunction in proposition.
Answers
Answer:
A B A.B
0 0 0
0 1 0
1 0 0
1 1 1
Explanation:
Conjunction is the term used to combine two or more propositions.
If a=“I ordered main course.”
b=“I ordered dessert.”
Then a.b or a^b would be “I ordered main course and dessert”.
A B A.B
0 0 0
0 1 0
1 0 0
1 1 1
This is the answer.
Explanation:
Truth tables are a way of analyzing how the validity of statements (called propositions) behave when you use a logical “or”, or a logical “and” to combine them. Propositions are either completely true or completely false, so any truth table will want to show both of these possibilities for all the statements made.
“not p” always has the opposite truth value of p
“p and q” is true only when both statements are true (false otherwise)
“p or q” is false only when both statements are false (true otherwise)
Understanding these truth tables will allow us to later analyze complex compound compositions consisting of and, or, not, and perhaps even a conditional statement, so make sure you have these basics down!