# Give minimal sum of products expressions for the following function (F and F(not))?

Discussion in 'Homework Help' started by DPatel304, Feb 17, 2010.

1. ### DPatel304 Thread Starter New Member

Feb 17, 2010
1
0
Here is the question:
Give minimal sum of products expressions for the following function F and for F(not)
F(A;B;C;D) = *sigma*(2; 3; 5; 6; 8; 9; 10); Fdc(A;B;C;D) = *sigma*(0; 12; 13; 14)
http://img15.imageshack.us/img15/4801/quesiton6.png

For 'F', all I did was create a Karnaugh map with 1's in the place of 2,3,5,6,8,9,10 and X's for 0,12,13,14.

I'm not sure what I am supposed to do to find the minimal sum of products for F(not). The way I did it was create another Karnaugh map with 1's in the place of 1,4,7,11 and X's again for 0,12,13,14. I got an answer, just wanted to make sure that if I invert the Karnaugh map, I will get the corrent F(not) minimal sum of products.

2. ### LoganFife New Member

Feb 7, 2010
13
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you can prove that your methods correct by drawing a truth table for F and F'