Hey all,
I'm trying to wrap my head around boolean algebra, specifically sum of products and product of sums. I know it has something to do with the distributive law, and possibly DeMorgan's laws, but I cannot figure it out.
I'm stuck on a problem on my homework. The instructions are to multiply out and simplify to obtain a product of sums. The problem goes as follows:
(A' + B + C')(A' + C' + D)(B' + D')
I grouped the A' + C' together using the law (X + Y)(X + Z) = X + YZ and got
A' + C' + BD(B'D')
Then I thought I could distribute the BD to make it BDB' + BDD'. Using the X + X' = 0 law I came up with A' + C' +B +D. The solution in the book is A'B' + A'D' + C'B' + C'D'. I'm way off and I have no idea what I'm doing. I'm sure if I could just grasp the concept of POS and SOP It would become easy, but so far I have not been able to understand.
Thanks for the help,
Zach
I'm trying to wrap my head around boolean algebra, specifically sum of products and product of sums. I know it has something to do with the distributive law, and possibly DeMorgan's laws, but I cannot figure it out.
I'm stuck on a problem on my homework. The instructions are to multiply out and simplify to obtain a product of sums. The problem goes as follows:
(A' + B + C')(A' + C' + D)(B' + D')
I grouped the A' + C' together using the law (X + Y)(X + Z) = X + YZ and got
A' + C' + BD(B'D')
Then I thought I could distribute the BD to make it BDB' + BDD'. Using the X + X' = 0 law I came up with A' + C' +B +D. The solution in the book is A'B' + A'D' + C'B' + C'D'. I'm way off and I have no idea what I'm doing. I'm sure if I could just grasp the concept of POS and SOP It would become easy, but so far I have not been able to understand.
Thanks for the help,
Zach