Converting Truth Tables to Boolean Expressions

A short tutorial on how to find a (unknown) boolean expression based on a known truth table.
Click on the 'Topic' Boolean to download the word document.

[davidhancock]

Error at 5:23: misapplication of L8. You don't 'leave the or where it was'. Note how the common variable on the right side of L8 is pulled out, and we have a conjunction (and) between it and the disjunction (or) of the remaining two variables. In this case, we end up with (~b AND c) AND (a OR ~a) = (~b AND c) AND (TRUE). Then apply L23 to get (~b AND c) which happens to be the same thing you ended up with, but in general you won't be so lucky.

[isaaccknight]

K maps are easy as but good to know both

[cattuong]

how about a truth table with 2 outputs? we do the same way or split up into 2 tables?

[Chirag]

wrong, the distributive law is not applied correctly and further if you check the table, the result does not come out as "B and C".

[RaSH]

2.13 XOR is the two values CANNOT be same....both cannot be false or true....therefore based on the table the column X would read from top-down....0, 1, 1, 0

[amitagaur]

You had given us wrong definition of xor

[animestudio]

this is the cutest accent ive ever heard lmao is that kiwi?

[phiwahalala]

You have the concept but does not know how to explain