Question

Given the truth table of a function F(x, y, z). Write S-O-P and P-O-S expression from the following truth table :

Answer 1

Add a new column containing Minterms and Maxterms. Now the table is as follows :

Now by adding all the minterms for which output is 1, we get desired sum-of-products expression which is 

X’YZ + XY’Z’ + XYZ

Now by multiplying Maxterms for the output 0s, we get the desired product of sums expression which is

(X + Y + Z)( X + Y + Z’)( X + Y’ + Z)( X ‘+ Y + Z’)( X’ + Y ‘+ Z)