Answer to Question #344397 in Discrete Mathematics for dimple

Question

Find the sum-of-products expansions of these boolean functions: F(x,y,z) = x.

Answer 1

We should create the table for the function and take the Boolean sum of the minterm where the function evaluates to 1.

$F(x,y,z)=x$

So, the disjunctive normal form is $x\=y\=z+x\=yz+xy\=z+xyz$