Answer to Question #102979 in Electrical Engineering for john

Question

Write the following Boolean function in sum of products form: f = (b + d)(a’ + b’ + c)

Answer 1

$$f=(b+d)(a'+b'+c)=\\=ba'+da'+bb'+db'+bc+dc.$$

according to the distributivity principle.

Since $bb'=0$:

$$f=ba'+da'+db'+bc+dc.$$