Help, find a statement using a truth table

[jhlee127]

i don't understand how i can find a statement in given truth table.

p | q | r | S |
==========
T | T | T | F|
T |T | F | T |
T | F | T | T |
T | F | F | F |
F | T | T | T |
F | T | F | F |
F | F | T | T |
F | F | F | F |


please help me.

 

[Stephen Tashi]

i don't understand how i can find a statement in given truth table.

I assume you mean "I don't understand how to express the statement S in symbolic form when given the following truth table."

If you can't make a clever guess for S, you could simply write it as a big "or" statement containing all the cases when it is true:

S \equiv (p \land q \land \lnot r) \lor (p \land \lnot q \land r) \lor ... etc.

then try to simplify the symbolic statement.

Are you studying logic in course on mathematics or are you studying logic in an engineering course in order to design logic circuits?