help with simplifying POS:

Discussion in 'Homework Help' started by shawd, Sep 20, 2009.

1. shawd Thread Starter New Member

Sep 20, 2009
14
1
i have a four input circuit, and so far i have these equations down but im not sure how to simplify it more if i can. this is the truth table:

ABCD F
0000 |1
0001 |1
0010 |0
0011 |1
0100 |1
0101 |1
0110 |1
0111 |1
1000 |1
1001 |1
1010 |1
1011 |1
1100 |0
1101 |1
1110 |0
1111 |0

so far i have this:

(ABC)' (A' + B' + D)(A + B + C' + D)

any help would be appreciated. Im pretty sure the the last 2 might factor out a D and maybe make an xor gate out of the A and B but im not for sure. Also if anyone has any links to threads on here or elsewhere there would be a good place to help practice making schematics or tips on making schematics please share. I'm good at normal schematics, but now I'm working on a 7 segment display so i have 7 outputs, and I'm having trouble with combining all my work into one thing.

2. hgmjr Moderator

Jan 28, 2005
9,030
214
Review the section in the AAC ebook on POS and SOP boolean algebra.

hgmjr

3. shawd Thread Starter New Member

Sep 20, 2009
14
1
thank you.

btw my equations are wrong on the first part, its actually:

(A' + B' + C')(A' + B' + D)(A + B + C' + D)

Mar 20, 2007
1,068
4