Solving Formula for Truth Table: P & Q

[autre]

I need to find the formula involving \neg, \wedge or \vee for the following truth table with the variables P and Q:

P Q formula
F F F
F T T
T F T
T T F

The closest I've gotten is something like P\vee(\negP\wedgeQ) which clearly doesn't work for the last row. Any ideas?

 

[MisterX]

That's the truth table for "exclusive or".

¬P∧Q is only true with P = F and Q = T. (line 2)

P∧¬Q is only true with P = T and Q = F. (line 3)

These are what are known as minterms. Minterms are expressions using only conjunction and negation (∧ and ¬), which are true for the inputs from one line of the truth table with a true output. Each input should be represented in the minterm.

The disjunction (∨) of all minterms will be an expression that corresponds to the truth table.