# boolean algebra

Discussion in 'Homework Help' started by benPhung, Jun 25, 2010.

1. ### benPhung Thread Starter New Member

Jun 25, 2010
1
0
hello,
i need help making the below expressions to product of sums:

1. A'BC + EF + DEF'
2. A + BC + DE (result should be a product of four terms.)

Thank you!

2. ### jstrike21 Member

Sep 24, 2009
104
0
Try making a karnaugh map and create the product of sums using the zeros

3. ### Georacer Moderator

Nov 25, 2009
5,151
1,266
I am only giving you the answer for the second expression because I know how painstaking working with 5 varialbe maps is. It is:
F=(A+B+E)(A+C+E)(A+B+D)(A+C+D)
If I had done it by hand I would go with a karnaugh map and zeros, as jstrike21 said. I would avoid Boolean algebra as it would require too much imagination and elaboration.
I say "if" because I used a software! If you are taking a class on boolean logic or logic circuits I recomend doing your maps by hand, as it is an indispensable skill. However, if this is only a part of your lesson (in digital circuits for example) then a software can be time saving. I use Karnaugh Map Minimizer, a free software. Only one warning though: in 5 variable maps like this one, in the table that lists the maps positions (00000,00001, etc) the variables' order is EABCD and not ABCDE. It took a while until I figured it out.