# Minterms And Maxterms

Discussion in 'General Electronics Chat' started by dogar sahab, Mar 15, 2008.

1. ### dogar sahab Thread Starter Active Member

Mar 15, 2008
116
0
i want to know that PRODUCT OF SUMS is the complement of SUM OF PRODUCTS......I am giving u a problem to solve:
X=A+A'BC+B'C

2. ### dogar sahab Thread Starter Active Member

Mar 15, 2008
116
0
product of sums must be the complement of the sum of products!!!!!!but it isn't!!!how????

3. ### Søren Senior Member

Sep 2, 2006
472
28
Hi,

How do you define "complement"?

You need to shorten your expression - fill your terms into a Karnaugh map like this.

Code ( (Unknown Language)):
1.
2. A/BC | 00 01 11 10
3. -----+------------
4.  0   |  0  1  1  0
5.  1   |  1  1  1  1
6.
Then I trust you to make the two circles and read out the answer yourself.

4. ### Dave Retired Moderator

Nov 17, 2003
6,960
145
Simple DeMorgans:

X = A+A'BC+B'C <- Sum of products

Double NOT:

X = (A+A'BC+B'C)''

Apply DeMorgans to whole expression:

X = ((A)'(A'BC)'(B'C)')'

Apply DeMorgans to each product term:

X = ((A)'(A + B' + C)(B + C'))' <- Complement of product of sums

It works the other way also.

Dave (4000)

5. ### dogar sahab Thread Starter Active Member

Mar 15, 2008
116
0
thnks for giving me the suggestions